Question

Is there a holomorphic funcion $f\colon B(0,1)\to\Bbb C$, $f({1\over2n})=f({1\over2n+1})={1\over n} $ for all $n$ positive integers?

score 24 · Answer 1 · 2016-10-01 18:25:00

24

Views

Is there a holomorphic funcion $f\colon B(0,1)\to\Bbb C$, $f({1\over2n})=f({1\over2n+1})={1\over n} $ for all $n$ positive integers?

Published on 01 Oct 2016 - 18:25

score 32 · Answer 2 · 2016-10-02 21:52:59

32

Views

How can I use Cauchy-Riemann equations in this case to prove that $f$ is a null function?

Published on 02 Oct 2016 - 21:52

score 411 · Answer 3 · 2016-10-10 15:01:38

411

Views

Real and imaginary part of holomorphic function

Published on 10 Oct 2016 - 15:01

score 97 · Answer 4 · 2026-03-26 13:40:51

97

Views

Entire function and boundedness

Published on 26 Mar 2026 - 13:40

score 99 · Answer 5 · 2016-10-11 21:54:30

99

Views

Cauchy goursat's theorem and holomorphicity

Published on 11 Oct 2016 - 21:54

score 1.4k · Answer 6 · 2016-10-14 18:10:17

1.4k

Views

How to find where the complex function $f(z)=|z| \bar z$ is differentiable?

Published on 14 Oct 2016 - 18:10

score 62 · Answer 7 · 2016-10-16 11:18:35

62

Views

Behaviour of the roots of a sequence of complex polynomials.

Published on 16 Oct 2016 - 11:18

score 796 · Answer 8 · 2016-10-18 21:04:28

796

Views

An application of Weierstrass theorem for holomorphic functions

Published on 18 Oct 2016 - 21:04

score 629 · Answer 9 · 2026-03-26 09:18:12

629

Views

The intersection of domains of holomorphy is again a domain of holomorphy

Published on 26 Mar 2026 - 9:18

score 203 · Answer 10 · 2026-02-23 13:40:32

203

Views

Holomorphic functional calculus: a fixed point

Published on 23 Feb 2026 - 13:40

score 72 · Answer 11 · 2016-10-25 15:57:35

72

Views

Understanding Holomorphic Fucntions

Published on 25 Oct 2016 - 15:57

score 1.6k · Answer 12 · 2016-10-26 14:34:22

1.6k

Views

Differentiability of $\ f(z) = e^{\bar z}$

Published on 26 Oct 2016 - 14:34

score 125 · Answer 13 · 2026-02-23 13:41:35

125

Views

Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

Published on 23 Feb 2026 - 13:41

score 216 · Answer 14 · 2016-10-28 03:37:18

216

Views

About emptiness of a set of holomorphic functions[CSIR-UGC NET]

Published on 28 Oct 2016 - 3:37

score 750 · Answer 15 · 2026-03-26 23:59:54

750

Views

Cauchy Integral Theorem and the complex logarithm function

Published on 26 Mar 2026 - 23:59

List Question

Is there a holomorphic funcion $f\colon B(0,1)\to\Bbb C$, $f({1\over2n})=f({1\over2n+1})={1\over n} $ for all $n$ positive integers?

How can I use Cauchy-Riemann equations in this case to prove that $f$ is a null function?

Real and imaginary part of holomorphic function

Entire function and boundedness

Cauchy goursat's theorem and holomorphicity

How to find where the complex function $f(z)=|z| \bar z$ is differentiable?

Behaviour of the roots of a sequence of complex polynomials.

An application of Weierstrass theorem for holomorphic functions

The intersection of domains of holomorphy is again a domain of holomorphy

Holomorphic functional calculus: a fixed point

Understanding Holomorphic Fucntions

Differentiability of $\ f(z) = e^{\bar z}$

Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

About emptiness of a set of holomorphic functions[CSIR-UGC NET]

Cauchy Integral Theorem and the complex logarithm function

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