Complex Analysis -Laurent Series For Complex Number | Problems By GP

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  • Опубліковано 16 гру 2024

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  • @gajendrapurohit
    @gajendrapurohit  5 років тому +45

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  • @deepanshshrivastava7655
    @deepanshshrivastava7655 Рік тому +316

    Value of A&B in first question ( partial fraction) will be as A=-1 & B=1

  • @adityatripathi2809
    @adityatripathi2809 3 роки тому +92

    value of A&B in first question ( partial fraction) will be as A=1& B=-1 or A=-1,B=1

  • @jitu3930
    @jitu3930 5 років тому +301

    Sir, partial fraction mein B should be equal to 1.

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +65

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    • @baishalisarkar7298
      @baishalisarkar7298 5 років тому +10

      And A should be -1

    • @akhileshyadav9862
      @akhileshyadav9862 4 роки тому +13

      Mistakes hoti hai bhai

    • @shivamsharma-xl2lp
      @shivamsharma-xl2lp 4 роки тому +3

      Han There is This Fault but pata lag gya hame

    • @saipavan3704
      @saipavan3704 3 роки тому +8

      Partial fraction b equal to 1
      A big mistake in problem

  • @NiteshKumar-do4en
    @NiteshKumar-do4en 5 років тому +84

    Best mathematics teacher who can easily explain the complicated concepts

  • @priyayadav2034
    @priyayadav2034 5 років тому +4

    OMG superb now got Laurent series...... Abhi tk bda drr lgta thA tysm Sir

  • @neelamsaini24
    @neelamsaini24 4 роки тому +4

    At 13:47 b=4 ayega kyoki -4×5=-20 ayega. Sir corrected it later.

    • @kahaan1927
      @kahaan1927 4 роки тому

      Yes, Sir ne do galtiya ki hai.. B=1 bhi at 3:39

  • @usertanya1522
    @usertanya1522 3 роки тому +23

    Teacher who explain whole concept through questions rather than theory..best method to understand..thankyou sir..your channel is very helpful for upsc maths optional..😊

  • @ManishKumar-eg7ke
    @ManishKumar-eg7ke 5 років тому +17

    Made the tough question like nothing..... awesome teaching

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +4

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  • @praveendwivedi6953
    @praveendwivedi6953 4 роки тому +1

    Aapka lecturer dekh kr dil khush ho jata hai ...Sb easy lgne lgta hai 😅😅🤗

  • @arijitmukherjee9881
    @arijitmukherjee9881 11 місяців тому +2

    In first question for partial fraction, should be A=-1 , B=1

  • @anuragkumar4624
    @anuragkumar4624 10 місяців тому +1

    00:12 Laurent series allows expansion of non-analytic functions.
    01:34 Cauchy-Riemann equation and Cauchy residue theorem
    03:56 Understanding Laurent series for complex numbers
    06:36 Understanding Laurent series for complex numbers
    09:17 The final question on Laurent series.
    11:57 Laurent series can be used to represent functions with singularities
    14:42 Laurent series are used to represent complex functions
    17:16 Understanding Laurent series and its application.

  • @brijbiharisharma1713
    @brijbiharisharma1713 4 роки тому

    Aapki video dekhne se phle mujhe kabhi laurent series samajh hi nhi aai...maine kaffi logo se samajhna chaha ..but pahli bar aapse samajh aai hai...thank you sir..

  • @raziyabanu7296
    @raziyabanu7296 Місяць тому

    The only teacher i can rely on at last moment... thank you so much ❤

  • @Chipstadka
    @Chipstadka 4 роки тому +1

    Seriously sir you are the one on youTube whose concept is very easy to understand, thanku sir🙏

  • @meghabhardwaj9009
    @meghabhardwaj9009 3 роки тому +1

    Sir i am trying to understand this series from 3-4 days but i can't understand them but by your video i understand it properly. ...thanku thanku sooo much sir

  • @mohammadsaqlainbeachghar1005
    @mohammadsaqlainbeachghar1005 5 років тому +6

    Thank u so much sir...when we didn't got in library books in our college ur channel is enough to learn these kinds of problems..once again thank u sir

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +3

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  • @rishabhgopalsoni8131
    @rishabhgopalsoni8131 5 років тому +2

    Sir u are the one who made mathematics easy for us by publishing your video lectures on you tube

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

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  • @vivekprakash5266
    @vivekprakash5266 4 роки тому

    partial fraction ki jo value nikalne wala method hai wo sir kamal ka hai. thank you veru much sir

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    @arsquad 6 років тому +2

    I will surely refer to your videos while making my own videos on Engineering Mathematics.

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      @gajendrapurohit  6 років тому

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  • @rahulnamanverma4445
    @rahulnamanverma4445 8 місяців тому +1

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  • @mechanicalengineerscircle3620
    @mechanicalengineerscircle3620 4 роки тому

    Sir you are great teacher of the world, you can explain all complicated topic of math easly

  • @Unknown_7175
    @Unknown_7175 2 роки тому +1

    Thank u so much sir, for ur videos.🥰....agr apke jaise teacher bachchon ko mile then., they crack any exam of mathematics 😇

  • @ayusharora7136
    @ayusharora7136 2 роки тому +3

    Thank you for letting me understand that "how to expand a function in its Laurent series without using Laurent theorem" but since the expansion is unique so what we get using Laurent theorem will also be the same.
    But please can you elaborate "why the thing with 1 in (1+x)or 1-x i.e. x(or z/c or c/z) should be less than one?
    Since binomial expansion does not put that constrained.

  • @deveshchaudhary9585
    @deveshchaudhary9585 4 роки тому +2

    Thanks you very much sir... For supporting student who doesn't go college ❤❤

  • @aishwaryrajawat7681
    @aishwaryrajawat7681 Рік тому +4

    7:20 pr minus sign kese ignore kr diye?

    • @blackfyre3149
      @blackfyre3149 7 місяців тому

      sir ganja phuk ke padha the hai na hojata hai ignore

  • @ajaypratapsingh9626
    @ajaypratapsingh9626 3 роки тому +1

    Sir your explanations make complicated concepts to easy one

  • @kashishshukla23
    @kashishshukla23 4 роки тому

    U r the best maths teacher on utube...

  • @khushbookaneriya
    @khushbookaneriya 4 роки тому +1

    Thanks a lot of you sir................😊

  • @sahikarma
    @sahikarma Рік тому

    Thank you so much sir ❤❤❤❤
    Saved my MSc paper🎯

  • @success.212
    @success.212 2 роки тому +1

    your video is very helpful for me sir
    thank you so much sir

  • @kshitijvermacms
    @kshitijvermacms 4 роки тому

    Best maths teacher I have ever encountered

  • @shubhammali1634
    @shubhammali1634 5 років тому +1

    Sir u r God for engineering students ...keep it up

  • @prasanjitsamantaray5902
    @prasanjitsamantaray5902 3 роки тому

    🙏🙏🙏
    You are Faster than light
    Sir

  • @ankitsahu1763
    @ankitsahu1763 6 місяців тому

    Just To the point delivery of knowledge 👌
    No faaltu baate🎉

  • @praveendwivedi6953
    @praveendwivedi6953 4 роки тому +1

    Ty sir ...U r helping me alot for clarifying my basics. ..I had forgotten all these things.😊🙏🙏♥️

  • @ddevendra7117
    @ddevendra7117 3 роки тому

    Thank U sir...
    I don't know concept and how to solve problems? You give me clear explanation..... 🙏🙏

  • @02_avrajeetghosh7
    @02_avrajeetghosh7 2 роки тому +4

    13:55
    {5×(-4)}+8 = (-12)

  • @namitakisan5059
    @namitakisan5059 4 роки тому +1

    Thank you so much sir🙏🙏 for all video....👌👌

  • @poojagautam9976
    @poojagautam9976 Рік тому +2

    Sir laurent series ka apne jo expansion kia h usme binomial ka use krte tym apne -1/z(1-1/z) ^-1 ko apne positive sign m kaise convirt kia.. Pls bta do sir

  • @jyotikhavashi9077
    @jyotikhavashi9077 4 роки тому +2

    Tx lotzzz sir.. everything is really explained Very neatly..

  • @adityayadav6712
    @adityayadav6712 3 роки тому +6

    Sir your speciality is , that you are very much to the point , which students are looking for. Your videos help me save my time because your videos are one stop solution for me and for others too... THANKYOU SIR

  • @prachigoyal5866
    @prachigoyal5866 4 роки тому

    Best explanation sir . These topic became so easy now . Mene sare complex ke vedio dekhi h , literally sir thankyou so much

  • @shivani7186
    @shivani7186 4 роки тому

    Nice sir aap bahut axa pdhate hai...
    Itna to class. Me bi smjh nhi aata jitna aapka...
    Osm sir

  • @suryapratapsinghshekhawat1470
    @suryapratapsinghshekhawat1470 4 роки тому +1

    thanks for making my life easier 🙃🙂 👍👍

  • @abhisheksutradhar9039
    @abhisheksutradhar9039 3 роки тому

    Ur teaching made us love maths

  • @leemaisnam
    @leemaisnam 5 місяців тому

    Thank you Sir 🙏❤ it's easy to understand now the complex analysis 🎉

  • @rahulnamanverma4445
    @rahulnamanverma4445 9 місяців тому +1

    THANK YOU SIR FOR SUCH GREAT WORK

  • @ajitsinghjhala961
    @ajitsinghjhala961 4 роки тому +1

    Thank you sir it helped me a lot i am from physics stream.

  • @Raheamal
    @Raheamal 5 років тому

    me ur biggest fan with in 2 days u r awesome sir

  • @bmabdullaalmahmud5386
    @bmabdullaalmahmud5386 2 роки тому

    The function would be 1/(z-2) - 1/(z-1) form.
    Thank you for your outstanding lecture.

  • @souvik.fingtore
    @souvik.fingtore Рік тому +1

    OSM sir
    Wonderful expansion ❤
    U must have millions of subscribers ❤😊
    Love from Jadavpur University (West Bengal) sir 🌝✨👑

  • @praveenmdr8487
    @praveenmdr8487 2 роки тому

    Thank you sir for clear all doubts about this topic

  • @trending197
    @trending197 Місяць тому

    Really wonderful series sir 🙏🙏

  • @alokgyan5350
    @alokgyan5350 3 роки тому

    Greatest mathematics teacher

  • @muhammadnaseeb602
    @muhammadnaseeb602 4 роки тому

    best teacher nice work
    thankyou sir you solved my problem

  • @Shaik1294
    @Shaik1294 11 місяців тому

    3 months classes in 8 hours 😅.. thankyou sir

  • @asha5265
    @asha5265 4 роки тому

    Sir merko bhut ache se smj aaya thank u so much 👍

  • @vanshimathur3449
    @vanshimathur3449 Рік тому +1

    3:40
    B = 1

  • @anandmaurya5615
    @anandmaurya5615 6 років тому +2

    Sir your videos are very helpful to me.....
    Sir my semester exams are coming from December 17...
    Sir engineering math me STATICAL TECHNIQUES & NUMERICAL TECHNIQUES bhi padha dijiye...sir.. It's urgent... Maximum question solve ho ja rahe hai isliye और मन कर रहा है पढ़ने का...confidence level बढ़ रहा है मैथ में.... आपके विडियो नहीं देखा था तो मुझे कुछ भी नहीं आता था.....thank you so much..... sir

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

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  • @pawan.creator7460
    @pawan.creator7460 2 роки тому

    thank you very much, sir, you saved me, I have an exam tomorrow

  • @gaurigupta3994
    @gaurigupta3994 4 роки тому

    Thank you so much sir aapne mere saare doubts clear kar diye

  • @RjRupjyoti7
    @RjRupjyoti7 3 роки тому

    Thank you Sir😘😘. This video helps me a lot BSC

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    @MukeshYadav-vb4bw 4 роки тому

    Thank you sir because this video is very useful for me.

  • @ajayjoshi9256
    @ajayjoshi9256 5 років тому +1

    thank you very much sir. aapki videos problem solving speed improve krne mai bht helpful hai. sir lorentz series s related singularity ka concept bhi thw essential n removable singularity agr usme bhi aapki help mil jaati to i will be very thankful to you. lorentz series k help s residue calculate krne wale questions sir jaise residue of e^(1/z) at z=0 is type k questions. i know sir free of cost itna bhi padhana bht hai bt this is the only channel jaha comments k response milte hai. and thanku sir for this great initiative

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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  • @skkkkk1
    @skkkkk1 5 років тому +4

    How to solve laurents example if asked about a particular point. Is inequality is given then it is easy but for point it is not understanding.

  • @AshishY98
    @AshishY98 5 років тому +1

    Thanks you sir for understanding a hard topic very easily

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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  • @abhishekbandil1737
    @abhishekbandil1737 2 роки тому

    One of the greatest teacher of all times 🥺🥺

  • @rhythmmittal8256
    @rhythmmittal8256 6 років тому +2

    Thanku sir for clearing our concepts.. ur videos helped me a lot... U teach better than our college teachers😊

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

      Thanks for your comment, your appreciation
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  • @ankitchaudhari4590
    @ankitchaudhari4590 4 роки тому

    Your videos are very helpful to us sir... thank you so much sir..

  • @dineshsharma2226
    @dineshsharma2226 6 років тому +19

    3.39 , B =1 correction . 🙏

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

      Thanks for your comment, your appreciation
      always motivate us to do such kind work.
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    • @aniketbhateja9638
      @aniketbhateja9638 5 років тому

      yessss

    • @akgupta0447
      @akgupta0447 5 років тому

      Yes B=1

  • @ENGINEERKADHABA
    @ENGINEERKADHABA 6 років тому +1

    Thanks sir
    Ye video ke liye
    Kal exam me mare iss question me 10marks pakka
    #bestteacher

  • @PRIYANKAYADAV-qp9bg
    @PRIYANKAYADAV-qp9bg 5 років тому

    Thank you so much sir aap bhut achha pdhate hai

  • @kksreekrishna284
    @kksreekrishna284 4 роки тому

    Awesome explanation
    Thanku very much sir

  • @unleasedflow8532
    @unleasedflow8532 3 роки тому +1

    yeah quick and efficient overall, nice sir keep doing it!!

  • @baller10zin21
    @baller10zin21 4 роки тому

    thank you sir.. very very very helpful and productive

  • @Satishkumar-lv9dk
    @Satishkumar-lv9dk 5 років тому

    Thanku sir your videos are more helpful for me a lot of thanku sir

  • @sameergourgour3062
    @sameergourgour3062 3 роки тому

    Nice after this video iam not confused what should I take comn

  • @Hf_videos
    @Hf_videos 2 роки тому

    He made it so easy !!

  • @nidhisingh9429
    @nidhisingh9429 5 років тому +1

    Thanks sir for explaining everything in the most appropriate manner😊

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
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      With Your Friends
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      Topic:- Differential Calculus For B.Sc. and
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  • @mdnawazishalam6100
    @mdnawazishalam6100 4 роки тому

    It's very helpful sir....u r doing really fabulous work...tnx sir...

  • @sunil_18
    @sunil_18 4 роки тому

    Nice teaching sir , I like your teaching

  • @harinath_mishra
    @harinath_mishra 5 років тому +1

    thanks sir for providing video on eng. mathematics....

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
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      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
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      Topic:-
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      Thanks
      Dr.Gajendra Purohit

  • @sagargour2024
    @sagargour2024 3 роки тому +6

    Short, easy n elegant ❤️❤️❤️
    All concepts covered by vivid examples and rest is the awesome experience this guy has. GBU man. Live long and prosper🖖

  • @udaypratapsingh14
    @udaypratapsingh14 3 роки тому

    You are my God sir....
    Thank you so much for...........,....🤗

  • @savithrispatil2482
    @savithrispatil2482 2 роки тому

    Thank u so much sir for ur teaching 🙏

  • @vikasbakoliya6017
    @vikasbakoliya6017 5 років тому

    Sir,
    These videos are very helpful in my endsem exam.
    Thank you sir

  • @MukeshKumar-wg8dv
    @MukeshKumar-wg8dv 5 років тому

    Wow nice sir
    My all doubt is clear

  • @silu9518
    @silu9518 5 років тому

    in my college classes are not regular so i am studying here.your lectures are very good.

  • @fullscreenwhatsappstatus4348
    @fullscreenwhatsappstatus4348 4 роки тому

    Thank you so much sir
    The best lecture for Laurent's theorm

  • @krishanpareek2815
    @krishanpareek2815 6 років тому +2

    Represent the function F(z)=z/(z-1)(z-3). by a series of negative powers (z-1)which 0

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

      Thanks for
      your comment, your appreciation always motivate us to do such kind work.
      Please Share it
      With Your Friends
      Want to get notes
      and link of videos with latest update then Connect me on Telegram Link:-
      t.me/gajendrapurohit
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      Unacademy for More Videos on IIT JAM|GATE|CSIR NET
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      Keep Watching OUR
      latest video.
      Topic:- Class 12 Maths NCERT - Continuity
      Important Questions Board Exam 2019
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      Topic:-
      Class 12 Maths NCERT - Crash Course |
      Revision Class | Board Exam 2019
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      Topic:- Matrics and Linear Algebra
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      Dr.Gajendra Purohit

  • @swapnilsingh5788
    @swapnilsingh5788 3 роки тому

    You are great sir...🙏🙏

  • @MrArsh-yj9ju
    @MrArsh-yj9ju 4 роки тому

    I always wathed your vdos when i m in doubt ❤

  • @user-qw19763
    @user-qw19763 7 місяців тому

    Compute the Laurent series for the function f(z) = z / [z 2 + 2] around z 0 = i. Specify the region where the function is valid and determine the principal part of the Laurent series. Can you explain this question ??

  • @zaffi_vibes
    @zaffi_vibes 2 роки тому +1

    thankkyou sss much sir love from pakistan

  • @abhinav2702
    @abhinav2702 2 роки тому +1

    Hello sir
    Ager question ko Lourents expansion se solve krne ko bola gya ho exam me to bionomial se kr skte hai?

  • @sirat-19
    @sirat-19 4 роки тому

    Tnq so much sir 😊 for doing afforts for us☺️👍

  • @AmitSingh-ro2wr
    @AmitSingh-ro2wr 3 роки тому +1

    In calaci the value of A=-1B=1
    7:01

  • @bidyothandique361
    @bidyothandique361 3 роки тому

    Thank you sir... Love from assam❤️

    • @RjRupjyoti7
      @RjRupjyoti7 3 роки тому

      Kun college bro... 5th semester n.

  • @vaibhavjoshi6853
    @vaibhavjoshi6853 6 років тому +1

    Amazing video Sir
    Thanks a lot

    • @gajendrapurohit
      @gajendrapurohit  6 років тому

      Thanks for your comment, your appreciation
      always motivate us to do such kind work.
      Follow me on
      Unacademy for More Videos on IIT JAM|GATE|CSIR NET
      unacademy.com/user/Dr-GajendraPurohit
      Keep Watching OUR
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      Topic:- Asymptotes
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      Topic:- Laplace Transform
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      Dr.Gajendra Purohit