Question

Analytic function $f$ on unit open disc $D$ which is not analytic on any open set $G$ which properly contains $D$

score 407 · Answer 1 · 2018-02-06 17:49:22

407

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Analytic function $f$ on unit open disc $D$ which is not analytic on any open set $G$ which properly contains $D$

Published on 06 Feb 2018 - 17:49

score 315 · Answer 2 · 2026-03-22 08:20:36

315

Views

Question on infinite product of zeta function

Published on 22 Mar 2026 - 8:20

score 519 · Answer 3 · 2018-03-21 16:23:30

519

Views

Weierstrass factorization theorem for non-entire functions

Published on 21 Mar 2018 - 16:23

score 5k · Answer 4 · 2018-06-27 06:48:22

5k

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Infinite Product Expansion of Hyperbolic Functions

Published on 27 Jun 2018 - 6:48

score 148 · Answer 5 · 2018-08-08 05:32:59

148

Views

Construct an analytic function which has simple zeros at all $m+in$

Published on 08 Aug 2018 - 5:32

score 1.2k · Answer 6 · 2019-02-03 12:47:08

1.2k

Views

Simplifying $(\sin^6x + \cos^6x) - (\sin^4x + \cos^4x) + \sin^2x\cos^2x$

Published on 03 Feb 2019 - 12:47

score 930 · Answer 7 · 2019-03-24 23:26:46

930

Views

Understanding the elementary factors in Weierstrass factorization theorem

Published on 24 Mar 2019 - 23:26

score 130 · Answer 8 · 2019-03-29 18:45:22

130

Views

Understanding the roots in the Weierstrass factorization theorem

Published on 29 Mar 2019 - 18:45

score 1.1k · Answer 9 · 2019-03-31 01:45:38

1.1k

Views

Understanding infinite product of $sin(\pi z)$

Published on 31 Mar 2019 - 1:45

score 678 · Answer 10 · 2019-04-12 17:57:07

678

Views

Show $\cosh(z) - \cos(z) = z^2\prod_{n = 1}^{\infty}\left(1 + \frac{z^4}{4\pi^4n^4} \right)$

Published on 12 Apr 2019 - 17:57

score 270 · Answer 11 · 2019-06-01 20:27:52

270

Views

Entire function non identically zero implies that limit sequence of zeros diverges

Published on 01 Jun 2019 - 20:27

score 27 · Answer 12 · 2019-06-10 15:01:34

27

Views

Product of two holomorphic functions defined by infinite product equals to 1.

Published on 10 Jun 2019 - 15:01

score 71 · Answer 13 · 2019-07-10 22:31:04

71

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Meromorphic interpolation of number-theoretic functions

Published on 10 Jul 2019 - 22:31

score 824 · Answer 14 · 2019-08-22 12:32:15

824

Views

Weierstrass Factorization Theorem for meromorphic functions.

Published on 22 Aug 2019 - 12:32

score 164 · Answer 15 · 2019-09-15 18:34:29

164

Views

Expansion of Complex Functions

Published on 15 Sep 2019 - 18:34

List Question

Analytic function $f$ on unit open disc $D$ which is not analytic on any open set $G$ which properly contains $D$

Question on infinite product of zeta function

Weierstrass factorization theorem for non-entire functions

Infinite Product Expansion of Hyperbolic Functions

Construct an analytic function which has simple zeros at all $m+in$

Simplifying $(\sin^6x + \cos^6x) - (\sin^4x + \cos^4x) + \sin^2x\cos^2x$

Understanding the elementary factors in Weierstrass factorization theorem

Understanding the roots in the Weierstrass factorization theorem

Understanding infinite product of $sin(\pi z)$

Show $\cosh(z) - \cos(z) = z^2\prod_{n = 1}^{\infty}\left(1 + \frac{z^4}{4\pi^4n^4} \right)$

Entire function non identically zero implies that limit sequence of zeros diverges

Product of two holomorphic functions defined by infinite product equals to 1.

Meromorphic interpolation of number-theoretic functions

Weierstrass Factorization Theorem for meromorphic functions.

Expansion of Complex Functions

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