Question

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

score 217 · Answer 1 · 2026-03-25 15:41:10

217

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

Published on 25 Mar 2026 - 15:41

score 259 · Answer 2 · 2026-03-26 11:01:32

259

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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 26 Mar 2026 - 11:01

score 101 · Answer 3 · 2018-04-19 08:01:06

101

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

Published on 19 Apr 2018 - 8:01

score 180 · Answer 4 · 2018-04-19 21:15:00

180

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Construction of a cut-off function

Published on 19 Apr 2018 - 21:15

score 35 · Answer 5 · 2018-04-20 16:58:30

35

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The attractor set of

Published on 20 Apr 2018 - 16:58

score 105 · Answer 6 · 2026-03-25 04:59:33

105

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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 25 Mar 2026 - 4:59

score 101 · Answer 7 · 2026-03-25 04:43:54

101

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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 25 Mar 2026 - 4:43

score 149 · Answer 8 · 2026-03-26 09:58:08

149

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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 26 Mar 2026 - 9:58

score 97 · Answer 9 · 2026-03-26 12:58:26

97

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Error in integral representation of Appell's series.

Published on 26 Mar 2026 - 12:58

score 90 · Answer 10 · 2026-03-22 19:30:33

90

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

Published on 22 Mar 2026 - 19:30

score 92 · Answer 11 · 2018-05-05 02:39:01

92

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

Published on 05 May 2018 - 2:39

score 125 · Answer 12 · 2026-03-25 06:30:20

125

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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 25 Mar 2026 - 6:30

score 123 · Answer 13 · 2026-03-25 12:46:23

123

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

Published on 25 Mar 2026 - 12:46

score 563 · Answer 14 · 2026-03-24 22:10:49

563

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Orthogonality Condition for hypergeometric functions

Published on 24 Mar 2026 - 22:10

score 469 · Answer 15 · 2018-05-09 20:30:49

469

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Some interesting integrals with dilogarithm

Published on 09 May 2018 - 20:30

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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