Most Expected Questions- Complex Analysis || CSIR-NET 2024 ||
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Пікірлер: 40
@46:21 I missed that I need only injective not bijective. f(z)=z can be the function. Option 3 is correct also.
Thank you so much sir...
A lot of thanx sir...❤❤❤
tq so mach sir❤
The questions are so nicely selected, that the discussion revises the main concepts. Thank you so much.
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
13 күн бұрын
@@kulsoomarashid4266 yes. I 📌 in the comment box.
@kulsoomarashid4266
13 күн бұрын
Ok sir thank u
Entire function mapped on bounded/unbounded set(leaving more than 1 point) then f is bounded sir ye kaise hua?
@SBTechMath
2 ай бұрын
Picard se
@komalkapoor3488
2 ай бұрын
Sir only for bounded sets we can't said by liouville's thm also?
@SBTechMath
2 ай бұрын
@@komalkapoor3488 no. It works only for entire functions
@komalkapoor3488
2 ай бұрын
@@SBTechMath ok sir...i got it.. Thanks a lot🙏💟
If every limit point of zeros in domain then f is identically zero na
@SBTechMath
2 ай бұрын
Nhi. All limit points not required. Single limit point existence will solve the purpose.
@pravinkamble2757
2 ай бұрын
@@SBTechMath Set of zeros is (-1,1) Then f= 0 on open disc is true then
@pravinkamble2757
2 ай бұрын
Open unit disc
@SBTechMath
2 ай бұрын
@@pravinkamble2757 yes
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
25 күн бұрын
Condition should be satisfied for all z
Fn bounded h ya unbounded h ye kaise pta chlega
@SBTechMath
2 ай бұрын
Range dekh kar
Plz.. sir upload the recorded videos of complex analysis live session (tjk5.0)
@SBTechMath
2 ай бұрын
Kon si pending hai?
@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
2 ай бұрын
@@pawartutorials01 usse aage hui hi nahi hai
@pawartutorials01
2 ай бұрын
@@SBTechMath baki kab hogi sir..?
Sir apki class ka time kya hai
@SBTechMath
2 ай бұрын
9pm
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
29 күн бұрын
3 FLT, Solution with each test.
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
Ай бұрын
Does 1 belong to the domain??
@14-nasirhusain83
Ай бұрын
@@SBTechMath no
@SBTechMath
Ай бұрын
@14-nasirhusain83 so it would not impact the result.
@14-nasirhusain83
Ай бұрын
@@SBTechMath Question is about set of zeros of f.....ie X Which doesn't becomes closed here
@14-nasirhusain83
Ай бұрын
Bze here 1 becomes limit point of zeros....but doesn't belong to set