List questions from special-functions

Published on 12 Apr 2026 - 22:03

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Evaluation of $\sum_{x=0}^\infty e^{-x^2}$

Published on 14 Apr 2026 - 21:19

249

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Summing Lerch Transcendents

Published on 12 Apr 2026 - 11:24

1.4k

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Proving that special functions do not have closed-form expression

Published on 15 Apr 2026 - 14:00

239

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An infinite series of a product of three logarithms

Published on 11 Apr 2026 - 7:26

1.4k

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Laplace transform of a product of Modified Bessel Functions

Published on 13 Apr 2026 - 6:41

3k

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About the Legendre differential equation

Published on 10 Apr 2026 - 14:34

1.8k

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A question of the norm calculation of Hermite polynomials

Published on 16 Apr 2026 - 19:40

121

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A certain family of continuous functions on $[0,1]^2$ the closure of which linear span is $\tilde{\mathcal{C}}([0,1]^2,\mathbb{R}))$

Published on 13 Apr 2026 - 21:11

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About the asymptotic formula of Bessel function

Published on 10 Apr 2026 - 6:11

593

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Poisson summation formula (in general)

Published on 13 Apr 2026 - 11:34

159

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Calculate $I(\alpha, x,y)=\int\limits_0^1 {{v^{\alpha - 1}}{{(1 - vx)}^{\alpha - 1}}{e^{vy}}dv,\,\,\,0 < \alpha ,x,y < 1}.$

Published on 16 Apr 2026 - 12:02

150

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Compute $\lim_{x\to\infty} \frac{{(x!)}^{\frac{1}{x}-1} (x\Gamma(x+1) \psi^{(0)}(x+1)-x! \log(x!))}{x^2}$

Published on 16 Apr 2026 - 21:55

819

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Proving an identity involving the derivative of the Laguerre polynomials with respect to $n$

Published on 13 Apr 2026 - 18:21

283

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Evaluate an integral of the Airy function $\operatorname{Bi}(x)$

Published on 15 Apr 2026 - 17:45

List Question

Does anyone recognize this function?

Evaluation of $\sum_{x=0}^\infty e^{-x^2}$

Summing Lerch Transcendents

Proving that special functions do not have closed-form expression

An infinite series of a product of three logarithms

Laplace transform of a product of Modified Bessel Functions

About the Legendre differential equation

A question of the norm calculation of Hermite polynomials

A certain family of continuous functions on $[0,1]^2$ the closure of which linear span is $\tilde{\mathcal{C}}([0,1]^2,\mathbb{R}))$

About the asymptotic formula of Bessel function

Poisson summation formula (in general)

Calculate $I(\alpha, x,y)=\int\limits_0^1 {{v^{\alpha - 1}}{{(1 - vx)}^{\alpha - 1}}{e^{vy}}dv,\,\,\,0 < \alpha ,x,y < 1}.$

Compute $\lim_{x\to\infty} \frac{{(x!)}^{\frac{1}{x}-1} (x\Gamma(x+1) \psi^{(0)}(x+1)-x! \log(x!))}{x^2}$

Proving an identity involving the derivative of the Laguerre polynomials with respect to $n$

Evaluate an integral of the Airy function $\operatorname{Bi}(x)$

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