Question

Is there a relation between norm defined on a vector space V and norm defined on its boundary?

score 55 · Answer 1 · 2026-05-02 20:19:27

55

Views

Is there a relation between norm defined on a vector space V and norm defined on its boundary?

Published on 02 May 2026 - 20:19

score 123 · Answer 2 · 2026-04-29 12:16:38

123

Views

Prove the identity $ \sum\limits_{i=k}^{n} \frac{1}{(i-k)! (a+i)_{n-i}}={\frac {a+n}{ \left( a{+} k \right) (n{-}k)! } }.$

Published on 29 Apr 2026 - 12:16

score 177 · Answer 3 · 2026-04-29 12:16:33

177

Views

Bounds for generalized mean $\frac{1}{2 \mu(a,b)}=\int_0^\infty \frac{dx}{e^{ax}+e^{bx}}$

Published on 29 Apr 2026 - 12:16

score 2.4k · Answer 4 · 2026-04-29 12:16:35

2.4k

Views

Understanding the branch cut and discontinuity of the hypergeometric function

Published on 29 Apr 2026 - 12:16

score 82 · Answer 5 · 2026-04-29 12:16:31

82

Views

Simplifying a hypergeometric function

Published on 29 Apr 2026 - 12:16

score 386 · Answer 6 · 2026-04-29 12:16:38

386

Views

Connection formula for the Gauss hypergeometric function from $\frac{1}{z}$ to $z$

Published on 29 Apr 2026 - 12:16

score 166 · Answer 7 · 2026-04-29 12:16:31

166

Views

Inequality with hypergeometric function

Published on 29 Apr 2026 - 12:16

score 92 · Answer 8 · 2026-04-29 12:16:48

92

Views

Prove the identity $ \sum\limits_{i=0}^{n} (-1)^{i} (a+2i) \binom{n}{i} \binom{a+n+i}{n+1}^{-1}=(n+1) \delta_{a,0}$

Published on 29 Apr 2026 - 12:16

score 224 · Answer 9 · 2026-04-29 12:16:37

224

Views

Are Wikipedia and Wolfram Mathworld wrong about the CDF of the beta binomial?

Published on 29 Apr 2026 - 12:16

score 64 · Answer 10 · 2026-04-29 12:16:38

64

Views

Is it possible to scale all parameters of Gauss hypergeometric function?

Published on 29 Apr 2026 - 12:16

score 97 · Answer 11 · 2026-04-29 12:16:38

97

Views

Prove the identity $ \sum\limits_{k=0}^{n-1} (-1)^{k} \binom{n}{k} (n-k) \frac{(a+k-2)!}{(a+k-n)!}=0.$

Published on 29 Apr 2026 - 12:16

score 455 · Answer 12 · 2026-04-29 12:16:31

455

Views

To show Hypergeometric Functions(1F2) positive.

Published on 29 Apr 2026 - 12:16

score 203 · Answer 13 · 2026-04-29 12:16:36

203

Views

Explicit summation of a cosine series

Published on 29 Apr 2026 - 12:16

score 146 · Answer 14 · 2026-05-01 07:57:42

146

Views

Integral with solution in terms of hypergeometric functions

Published on 01 May 2026 - 7:57

score 425 · Answer 15 · 2026-04-29 12:16:39

425

Views

An inequality about hypergeometric function(1F2).

Published on 29 Apr 2026 - 12:16

List Question

Is there a relation between norm defined on a vector space V and norm defined on its boundary?

Prove the identity $ \sum\limits_{i=k}^{n} \frac{1}{(i-k)! (a+i)_{n-i}}={\frac {a+n}{ \left( a{+} k \right) (n{-}k)! } }.$

Bounds for generalized mean $\frac{1}{2 \mu(a,b)}=\int_0^\infty \frac{dx}{e^{ax}+e^{bx}}$

Understanding the branch cut and discontinuity of the hypergeometric function

Simplifying a hypergeometric function

Connection formula for the Gauss hypergeometric function from $\frac{1}{z}$ to $z$

Inequality with hypergeometric function

Prove the identity $ \sum\limits_{i=0}^{n} (-1)^{i} (a+2i) \binom{n}{i} \binom{a+n+i}{n+1}^{-1}=(n+1) \delta_{a,0}$

Are Wikipedia and Wolfram Mathworld wrong about the CDF of the beta binomial?

Is it possible to scale all parameters of Gauss hypergeometric function?

Prove the identity $ \sum\limits_{k=0}^{n-1} (-1)^{k} \binom{n}{k} (n-k) \frac{(a+k-2)!}{(a+k-n)!}=0.$

To show Hypergeometric Functions(1F2) positive.

Explicit summation of a cosine series

Integral with solution in terms of hypergeometric functions

An inequality about hypergeometric function(1F2).

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