Question

Let $f$ be an entire function such that $f(z) = f(1/z)$ for all $z \in \mathbb{C} \setminus \{0\}$. Show that $f(z)$ is constant.

score 2k · Answer 1 · 2026-03-25 21:31:30

2k

Views

Let $f$ be an entire function such that $f(z) = f(1/z)$ for all $z \in \mathbb{C} \setminus \{0\}$. Show that $f(z)$ is constant.

Published on 25 Mar 2026 - 21:31

score 26 · Answer 2 · 2026-03-25 21:30:51

26

Views

Verhulst model and Lipschitz dependancy

Published on 25 Mar 2026 - 21:30

score 38 · Answer 3 · 2026-03-25 21:23:00

38

Views

Find the constants $a,b,c$ to satisfy the re-writing of a function in another form.

Published on 25 Mar 2026 - 21:23

score 70 · Answer 4 · 2026-03-25 21:22:18

70

Views

What constants make the integral equal to $1$?

Published on 25 Mar 2026 - 21:22

score 218 · Answer 5 · 2026-03-25 21:30:53

218

Views

Finding constant for orthonormality

Published on 25 Mar 2026 - 21:30

score 27 · Answer 6 · 2026-03-25 21:31:31

27

Views

One way to solve $\int_{0}^{\infty}3\Big(\frac{e^{-x^3}}{x+1}+\frac{xe^{-x^3}}{x^3+1}-\frac{e^{-x^3}}{x^3+1}\Big)dx=G$

Published on 25 Mar 2026 - 21:31

score 2.4k · Answer 7 · 2026-03-25 21:22:16

2.4k

Views

Swinging factorial and swinging constant

Published on 25 Mar 2026 - 21:22

score 82 · Answer 8 · 2026-03-25 21:22:56

82

Views

Prove that $\sum_{k=1}^{\infty}\frac{k^2}{e^k}< \sum_{k=1}^{\infty}\frac{k}{2^k}$

Published on 25 Mar 2026 - 21:22

score 101 · Answer 9 · 2026-03-25 21:31:32

101

Views

Can $\prod_{n=0}^{\infty}\left(1+ \frac{1}{2^n}\right)$ be expressed in terms of the Pell constant?

Published on 25 Mar 2026 - 21:31

score 81 · Answer 10 · 2026-03-25 21:30:50

81

Views

Brownian motion mathematical model construction

Published on 25 Mar 2026 - 21:30

score 128 · Answer 11 · 2026-03-25 21:30:53

128

Views

Example of Devil's nested radicals

Published on 25 Mar 2026 - 21:30

score 247 · Answer 12 · 2026-05-11 06:19:38

247

Views

Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

Published on 11 May 2026 - 6:19

score 54 · Answer 13 · 2026-03-25 21:31:30

54

Views

I am unsure where to start for part (iii). It provides a hint to try and find the constant a first but I am unsure how to do this.

Published on 25 Mar 2026 - 21:31

score 36 · Answer 14 · 2026-03-25 21:22:14

36

Views

How do you create a constant to grow a number uniformly?

Published on 25 Mar 2026 - 21:22

score 78 · Answer 15 · 2026-04-09 10:08:14

78

Views

Showing that $y = \frac{(x-a)e^x}{(x-b)}$ has stationary points when $a-b<0$ or $a-b>4$

Published on 09 Apr 2026 - 10:08

List Question

Let $f$ be an entire function such that $f(z) = f(1/z)$ for all $z \in \mathbb{C} \setminus \{0\}$. Show that $f(z)$ is constant.

Verhulst model and Lipschitz dependancy

Find the constants $a,b,c$ to satisfy the re-writing of a function in another form.

What constants make the integral equal to $1$?

Finding constant for orthonormality

One way to solve $\int_{0}^{\infty}3\Big(\frac{e^{-x^3}}{x+1}+\frac{xe^{-x^3}}{x^3+1}-\frac{e^{-x^3}}{x^3+1}\Big)dx=G$

Swinging factorial and swinging constant

Prove that $\sum_{k=1}^{\infty}\frac{k^2}{e^k}< \sum_{k=1}^{\infty}\frac{k}{2^k}$

Can $\prod_{n=0}^{\infty}\left(1+ \frac{1}{2^n}\right)$ be expressed in terms of the Pell constant?

Brownian motion mathematical model construction

Example of Devil's nested radicals

Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

I am unsure where to start for part (iii). It provides a hint to try and find the constant a first but I am unsure how to do this.

How do you create a constant to grow a number uniformly?

Showing that $y = \frac{(x-a)e^x}{(x-b)}$ has stationary points when $a-b<0$ or $a-b>4$

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