Question

Non-polynomial entire function with finitely many zeros tends to zero on circles

score 161 · Answer 1 · 2023-10-30 14:01:16

161

Views

Non-polynomial entire function with finitely many zeros tends to zero on circles

Published on 30 Oct 2023 - 14:01

score 38 · Answer 2 · 2023-11-07 18:47:24

38

Views

Proving an entire function has at least one zero provided that it maps the open disk $D(0,R)$ to $D(0,M)$

Published on 07 Nov 2023 - 18:47

score 128 · Answer 3 · 2023-11-14 16:26:31

128

Views

Is an entire function with this property necessarily a polynomial?

Published on 14 Nov 2023 - 16:26

score 61 · Answer 4 · 2026-03-26 16:03:58

61

Views

Extending a holomorphic function on $\mathbb{C}\backslash K$ to an entire function

Published on 26 Mar 2026 - 16:03

score 88 · Answer 5 · 2023-11-21 07:08:18

88

Views

A question on the coefficients of the Taylor's series of an entire function

Published on 21 Nov 2023 - 7:08

score 75 · Answer 6 · 2023-11-23 17:21:12

75

Views

For arithmetical periodic function $f$, if $\sum_{r=1}^k f(r)=0$, then $S=\sum_{n=1}^\infty \frac{f(n)}{n^{s}}$ converges

Published on 23 Nov 2023 - 17:21

score 128 · Answer 7 · 2023-11-29 23:02:56

128

Views

$g(z) = \sum_{n=0}^{\infty} \frac{g(n)}{(n+1)!} z^n$ with $0 \leq g(n)$?

Published on 29 Nov 2023 - 23:02

score 86 · Answer 8 · 2023-12-03 02:03:37

86

Views

Showing that an entire function is constant

Published on 03 Dec 2023 - 2:03

score 21 · Answer 9 · 2023-12-05 14:40:15

21

Views

Fourier transform of entire function of exponential type $\nu$ equal to zero outside $\Delta_\nu$

Published on 05 Dec 2023 - 14:40

score 53 · Answer 10 · 2023-12-06 22:45:46

53

Views

How do I determine order of growth of periodic function? (sin)

Published on 06 Dec 2023 - 22:45

score 67 · Answer 11 · 2023-12-08 07:08:02

67

Views

Order zero entire function.

Published on 08 Dec 2023 - 7:08

score 46 · Answer 12 · 2023-12-16 00:32:03

46

Views

Prove that order of function certain order and type properties

Published on 16 Dec 2023 - 0:32

score 37 · Answer 13 · 2023-12-25 05:01:41

37

Views

Entire function with bounded sequence of distinct real numbers

Published on 25 Dec 2023 - 5:01

score 78 · Answer 14 · 2024-01-03 21:50:42

78

Views

If $f$ is entire and nowhere zero, then there exists an entire function $g$ such that $f(z)=g(z)^2$

Published on 03 Jan 2024 - 21:50

score 133 · Answer 15 · 2024-01-06 20:04:34

133

Views

Modulus of function is function of modulus

Published on 06 Jan 2024 - 20:04

List Question

Non-polynomial entire function with finitely many zeros tends to zero on circles

Proving an entire function has at least one zero provided that it maps the open disk $D(0,R)$ to $D(0,M)$

Is an entire function with this property necessarily a polynomial?

Extending a holomorphic function on $\mathbb{C}\backslash K$ to an entire function

A question on the coefficients of the Taylor's series of an entire function

For arithmetical periodic function $f$, if $\sum_{r=1}^k f(r)=0$, then $S=\sum_{n=1}^\infty \frac{f(n)}{n^{s}}$ converges

$g(z) = \sum_{n=0}^{\infty} \frac{g(n)}{(n+1)!} z^n$ with $0 \leq g(n)$?

Showing that an entire function is constant

Fourier transform of entire function of exponential type $\nu$ equal to zero outside $\Delta_\nu$

How do I determine order of growth of periodic function? (sin)

Order zero entire function.

Prove that order of function certain order and type properties

Entire function with bounded sequence of distinct real numbers

If $f$ is entire and nowhere zero, then there exists an entire function $g$ such that $f(z)=g(z)^2$

Modulus of function is function of modulus

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