Complex Analysis Questions | CSIR NET Sept 2022 Mathematics | Short Cut Tricks

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  • เผยแพร่เมื่อ 15 ธ.ค. 2024
  • This lecture explains questions ID 312, 313, 384, 385, 386 Complex analysis questions. #csirnet #csirnet #csirnetmathematicalscience
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ความคิดเห็น • 20

  • @vishusinghofficial3506
    @vishusinghofficial3506 ปีที่แล้ว +1

    Namaste sir...sir Question id 384 Mod e to the power z and mod sin z open subset of C kaise hua ni smjh me aaya

  • @movies4u..
    @movies4u.. ปีที่แล้ว

    q.385 sinz is entire by picards theorem alo it takes all values in C.(except at one point )

  • @Siya-zp8ik
    @Siya-zp8ik ปีที่แล้ว

    Ques 384 ...here we have to see which fx is entire
    Obviously sinz and e^z are entire fx
    And by result that *mod of an entire function is not entire*...So the other two options are discard

  • @movies4u..
    @movies4u.. ปีที่แล้ว

    7:43 how |e^z| is analytic in C it does not satififies cauchy reimann equation.please help sir 2 nd bit.

    • @Siya-zp8ik
      @Siya-zp8ik ปีที่แล้ว

      This function is not analytic
      ...because mod of any entire function is never analytic...
      You can take this as a result 😊

  • @hajeeranasreenqueenofscience
    @hajeeranasreenqueenofscience ปีที่แล้ว

    Very informative video sir thank you 😊

  • @bsjs827
    @bsjs827 ปีที่แล้ว

    If f(z) = z then option 2 is discard as they say it is proper subset of U

  • @pratikshamahajan3213
    @pratikshamahajan3213 ปีที่แล้ว

    Thnku sir, most apt explanation

  • @iitian0010
    @iitian0010 ปีที่แล้ว +1

    Sir 385 me aapne converse use Kiya hai given identity theorem ka ??

    • @movies4u..
      @movies4u.. ปีที่แล้ว +1

      yaa converse need not be true.. take f= sinz for first and f(z) = 1 for the second case of option (i) in both cases limit not exists.

  • @Rahilkhan-oy4gp
    @Rahilkhan-oy4gp ปีที่แล้ว

    Sir |sinz| is real line. And can not open subset of C but can be open subset of R

  • @nirakarnb8416
    @nirakarnb8416 ปีที่แล้ว

    Very helpful content❤

  • @Sanjana806
    @Sanjana806 ปีที่แล้ว

    Sir, it would be great if you could upload a video on unit root test in time series, Thank you.

  • @kosanampavankumar6105
    @kosanampavankumar6105 ปีที่แล้ว

    Sir gudafternoon,
    How much fee for csir net mathematics course?

  • @wonderfulworld4781
    @wonderfulworld4781 ปีที่แล้ว

    384 question ache se smjh ni aaya Sir

  • @pramitsahoo
    @pramitsahoo ปีที่แล้ว

    Sir I want to ask you a question.. is your playlist on probability and statistics enough for the gate statistics part ?

    • @DrHarishGarg
      @DrHarishGarg  ปีที่แล้ว

      Yes.

    • @pramitsahoo
      @pramitsahoo ปีที่แล้ว

      @@DrHarishGarg thank you so much for replying sir.. I had covered calculus and linear algebra from mit open courseware both taught by prof Gilbert strang and then I hopped onto your playlist of probability and statistics...thank you for making those 🙏

  • @laxmisahu6692
    @laxmisahu6692 ปีที่แล้ว

    Thnk u soo much