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 · 2020-05-09 09:11:07

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 25 · Answer 2 · 2020-05-13 12:22:13

25

Views

Verhulst model and Lipschitz dependancy

Published on 13 May 2020 - 12:22

score 37 · Answer 3 · 2020-05-13 19:16:20

37

Views

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

Published on 13 May 2020 - 19:16

score 69 · Answer 4 · 2020-05-14 22:33:22

69

Views

What constants make the integral equal to $1$?

Published on 14 May 2020 - 22:33

score 217 · Answer 5 · 2020-05-19 11:02:08

217

Views

Finding constant for orthonormality

Published on 19 May 2020 - 11:02

score 26 · Answer 6 · 2020-05-22 07:13:22

26

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 22 May 2020 - 7:13

score 2.4k · Answer 7 · 2020-05-26 17:43:06

2.4k

Views

Swinging factorial and swinging constant

Published on 26 May 2020 - 17:43

score 81 · Answer 8 · 2020-05-28 13:02:14

81

Views

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

Published on 28 May 2020 - 13:02

score 100 · Answer 9 · 2020-06-11 09:09:43

100

Views

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

Published on 11 Jun 2020 - 9:09

score 80 · Answer 10 · 2020-06-26 21:56:33

80

Views

Brownian motion mathematical model construction

Published on 26 Jun 2020 - 21:56

score 127 · Answer 11 · 2020-07-02 09:30:00

127

Views

Example of Devil's nested radicals

Published on 02 Jul 2020 - 9:30

score 246 · Answer 12 · 2026-03-25 16:13:41

246

Views

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

Published on 25 Mar 2026 - 16:13

score 53 · Answer 13 · 2020-07-15 12:46:57

53

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 15 Jul 2020 - 12:46

score 35 · Answer 14 · 2020-07-15 17:07:31

35

Views

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

Published on 15 Jul 2020 - 17:07

score 77 · Answer 15 · 2026-02-23 07:45:12

77

Views

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

Published on 23 Feb 2026 - 7:45

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 $a-b>4$

Trending Questions

Popular # Hahtags

Popular Questions