Most Expected Questions- Complex Analysis || CSIR-NET 2024 ||

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Пікірлер: 40

  • @SBTechMath
    @SBTechMath2 ай бұрын

    @46:21 I missed that I need only injective not bijective. f(z)=z can be the function. Option 3 is correct also.

  • @nileshmore578
    @nileshmore5782 ай бұрын

    Thank you so much sir...

  • @MathsRevolution369
    @MathsRevolution3692 ай бұрын

    A lot of thanx sir...❤❤❤

  • @taslimaparveen9113
    @taslimaparveen91132 ай бұрын

    tq so mach sir❤

  • @abinashsarma3135
    @abinashsarma3135Ай бұрын

    The questions are so nicely selected, that the discussion revises the main concepts. Thank you so much.

  • @kulsoomarashid4266
    @kulsoomarashid426613 күн бұрын

    49:05, we can have injective holomorphic function e.g, f(z)=z, then option 3 is correct. How can option 1 b true , holomorphic function maps bounded set to bounded set

  • @SBTechMath

    @SBTechMath

    13 күн бұрын

    @@kulsoomarashid4266 yes. I 📌 in the comment box.

  • @kulsoomarashid4266

    @kulsoomarashid4266

    13 күн бұрын

    Ok sir thank u

  • @komalkapoor3488
    @komalkapoor34882 ай бұрын

    Entire function mapped on bounded/unbounded set(leaving more than 1 point) then f is bounded sir ye kaise hua?

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    Picard se

  • @komalkapoor3488

    @komalkapoor3488

    2 ай бұрын

    Sir only for bounded sets we can't said by liouville's thm also?

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    @@komalkapoor3488 no. It works only for entire functions

  • @komalkapoor3488

    @komalkapoor3488

    2 ай бұрын

    @@SBTechMath ok sir...i got it.. Thanks a lot🙏💟

  • @pravinkamble2757
    @pravinkamble27572 ай бұрын

    If every limit point of zeros in domain then f is identically zero na

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    Nhi. All limit points not required. Single limit point existence will solve the purpose.

  • @pravinkamble2757

    @pravinkamble2757

    2 ай бұрын

    @@SBTechMath Set of zeros is (-1,1) Then f= 0 on open disc is true then

  • @pravinkamble2757

    @pravinkamble2757

    2 ай бұрын

    Open unit disc

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    @@pravinkamble2757 yes

  • @ankitadangi1655
    @ankitadangi165525 күн бұрын

    Sir 36:51 agr ham F(z)=1 le le and z=1 pr hmari equality satisfy ho jati hai jo given hai to sir fr first option A to true nhi ho rha?

  • @SBTechMath

    @SBTechMath

    25 күн бұрын

    Condition should be satisfied for all z

  • @vaishalibatra7363
    @vaishalibatra73632 ай бұрын

    Fn bounded h ya unbounded h ye kaise pta chlega

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    Range dekh kar

  • @pawartutorials01
    @pawartutorials012 ай бұрын

    Plz.. sir upload the recorded videos of complex analysis live session (tjk5.0)

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    Kon si pending hai?

  • @pawartutorials01

    @pawartutorials01

    2 ай бұрын

    @@SBTechMath most expected question wali class jo 9 baje live hoti hai uski recorded videos bhi upload kar dijiye sir (lecture,1,2,3 hai only)

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    @@pawartutorials01 usse aage hui hi nahi hai

  • @pawartutorials01

    @pawartutorials01

    2 ай бұрын

    @@SBTechMath baki kab hogi sir..?

  • @aishwaryadharwal5585
    @aishwaryadharwal55852 ай бұрын

    Sir apki class ka time kya hai

  • @SBTechMath

    @SBTechMath

    2 ай бұрын

    9pm

  • @_AniketSamurai
    @_AniketSamurai29 күн бұрын

    Sir, I wanna buy your test series for CSIR NET June exam but can you please let me know how many Full Length Tests does it contain? and uptill when your 50% discount is going on? and last thing does it have solutions included to after every test??

  • @SBTechMath

    @SBTechMath

    29 күн бұрын

    3 FLT, Solution with each test.

  • @14-nasirhusain83
    @14-nasirhusain83Ай бұрын

    Sir in Q83 If we take f(z)=sin(1/1-z) and U = unit disk Then X ={1-1/nπ. : n€N} Here X is not closed. F satisfies all given hypothesis

  • @SBTechMath

    @SBTechMath

    Ай бұрын

    Does 1 belong to the domain??

  • @14-nasirhusain83

    @14-nasirhusain83

    Ай бұрын

    @@SBTechMath no

  • @SBTechMath

    @SBTechMath

    Ай бұрын

    @14-nasirhusain83 so it would not impact the result.

  • @14-nasirhusain83

    @14-nasirhusain83

    Ай бұрын

    @@SBTechMath Question is about set of zeros of f.....ie X Which doesn't becomes closed here

  • @14-nasirhusain83

    @14-nasirhusain83

    Ай бұрын

    Bze here 1 becomes limit point of zeros....but doesn't belong to set