Question

The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

score 218 · Answer 1 · 2026-05-10 21:57:22

218

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The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

Published on 10 May 2026 - 21:57

score 262 · Answer 2 · 2026-05-10 17:02:22

262

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Is the product $\prod_{n=1}^{\infty}\left(\frac{\Gamma(n+\frac{1}{2})}{\sqrt{n}\Gamma(n)}\right)$ convergent?

Published on 10 May 2026 - 17:02

score 104 · Answer 3 · 2026-04-15 10:26:17

104

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Definite integral $\int_{y}^{\infty}$ involving two Meijer's G function

Published on 15 Apr 2026 - 10:26

score 183 · Answer 4 · 2026-04-16 03:52:20

183

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Construction of a cut-off function

Published on 16 Apr 2026 - 3:52

score 39 · Answer 5 · 2026-04-30 08:26:28

39

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The attractor set of

Published on 30 Apr 2026 - 8:26

score 107 · Answer 6 · 2026-04-17 09:34:36

107

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‎Limit of $‎\sum_{n=1}^\infty\frac{x}{\sqrt{n}}-\frac{x}{\sqrt {n+N}}+\sum_{k=1}^N\sum_{n=1}^\infty\frac{1}{\sqrt{n+k+x}}-\frac{1}{\sqrt {n+k}}‎ $‎?

Published on 17 Apr 2026 - 9:34

score 104 · Answer 7 · 2026-05-10 15:25:46

104

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Is the product $\prod_{n=1}^{\infty}\big(n\beta(n,\frac{1}{2})\big)^{\frac{1}{n}}$ convergent?

Published on 10 May 2026 - 15:25

score 152 · Answer 8 · 2026-05-10 20:08:27

152

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About the integral $\int_{0}^{1}\frac{\arctan(x)\,dx}{\sqrt{x(1-x^2)}}$ and related hypergeometric functions

Published on 10 May 2026 - 20:08

score 100 · Answer 9 · 2026-05-11 02:52:28

100

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Error in integral representation of Appell's series.

Published on 11 May 2026 - 2:52

score 99 · Answer 10 · 2026-05-10 10:58:19

99

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Is there an analytic proof of change of bases in logarithms?

Published on 10 May 2026 - 10:58

score 95 · Answer 11 · 2026-04-13 09:53:08

95

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Is there any counterpart of the parabolic cylinder function in higher dimension?

Published on 13 Apr 2026 - 9:53

score 128 · Answer 12 · 2026-05-11 01:53:09

128

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On $\int_0^1\left(\int_0^\infty\frac{\operatorname{gd}(x+y)}{\exp(x+y)}dx\right)dy$, being $\operatorname{gd}(u)$ the Gudermannian function

Published on 11 May 2026 - 1:53

score 126 · Answer 13 · 2026-05-10 20:50:40

126

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Approximation of $\Gamma(n+\lambda)/\Gamma(n)$ with $0<\lambda<1$ for large $n$

Published on 10 May 2026 - 20:50

score 564 · Answer 14 · 2026-05-10 14:53:35

564

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Orthogonality Condition for hypergeometric functions

Published on 10 May 2026 - 14:53

score 472 · Answer 15 · 2026-04-12 15:30:27

472

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Some interesting integrals with dilogarithm

Published on 12 Apr 2026 - 15:30

List Question

The Lerch transcendent evaluation for the parameters HurwitzLerchPhi[z,-4 s,0]

Is the product $\prod_{n=1}^{\infty}\left(\frac{\Gamma(n+\frac{1}{2})}{\sqrt{n}\Gamma(n)}\right)$ convergent?

Definite integral $\int_{y}^{\infty}$ involving two Meijer's G function

Construction of a cut-off function

The attractor set of

‎Limit of $‎\sum_{n=1}^\infty\frac{x}{\sqrt{n}}-\frac{x}{\sqrt {n+N}}+\sum_{k=1}^N\sum_{n=1}^\infty\frac{1}{\sqrt{n+k+x}}-\frac{1}{\sqrt {n+k}}‎ $‎?

Is the product $\prod_{n=1}^{\infty}\big(n\beta(n,\frac{1}{2})\big)^{\frac{1}{n}}$ convergent?

About the integral $\int_{0}^{1}\frac{\arctan(x)\,dx}{\sqrt{x(1-x^2)}}$ and related hypergeometric functions

Error in integral representation of Appell's series.

Is there an analytic proof of change of bases in logarithms?

Is there any counterpart of the parabolic cylinder function in higher dimension?

On $\int_0^1\left(\int_0^\infty\frac{\operatorname{gd}(x+y)}{\exp(x+y)}dx\right)dy$, being $\operatorname{gd}(u)$ the Gudermannian function

Approximation of $\Gamma(n+\lambda)/\Gamma(n)$ with $0<\lambda<1$ for large $n$

Orthogonality Condition for hypergeometric functions

Some interesting integrals with dilogarithm

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