List questions from special-functions

Published on 01 Sep 2018 - 19:41

48

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Assume $x_1$,...,$x_n$ are positive real numbers - Is there a measurable function such that $f(x_1\cdot ... \cdot x_n)=max(f(x_1),...,f(x_n))$?

Published on 03 Sep 2018 - 17:55

51

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Can $\prod_{n=1}^\infty(1+e^{2\pi i n\tau})$ be expressed in terms of the Euler Phi Function?

Published on 26 Mar 2026 - 17:46

54

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Solution of the differential equation $\ddot{x}(t)+\sin(\omega t)x(t)=cos[\eta(t)]$

Published on 26 Mar 2026 - 22:55

259

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A function that is in $C^k_b(\mathbb R)$ but not in $C^{k+1}_b(\mathbb R)$

Published on 05 Sep 2018 - 10:16

246

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Relation between dilogarithm and its complex conjugate

Published on 24 Mar 2026 - 22:10

170

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What is the integral of $e^{x\cos\theta + y\cos\theta}$

Published on 26 Mar 2026 - 18:50

203

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Solutions of hypergeometric equation when $c\in\mathbb{Z}$

Published on 26 Mar 2026 - 21:12

85

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Calculate $I_{m, n}=\int_{0}^{\pi} \cos^{m}(x)\, \sin^{n}(x) \, dx,$?

Published on 11 Sep 2018 - 15:00

46

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Extend an asymptotic relation with integer parameter to real parameters?

Published on 11 Sep 2018 - 15:22

78

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Compute a limit that involves a hypergeometric function.

Published on 12 Sep 2018 - 18:21

205

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Evaluating $\int_0^\infty\operatorname{erfi}(x)e^{-x^2}\frac{dx}x$

Published on 13 Sep 2018 - 3:32

457

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An $\operatorname{erfi}(x)e^{-x^2}$ integral

Published on 14 Sep 2018 - 8:43

135

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Asymptotic Expression involving generalized hypergeometric function

Published on 15 Sep 2018 - 13:39

231

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integral of definite Meijer's G-function

Published on 26 Mar 2026 - 16:05

List Question

Asymptotic form for a generalized hypergeometric function

Assume $x_1$,...,$x_n$ are positive real numbers - Is there a measurable function such that $f(x_1\cdot ... \cdot x_n)=max(f(x_1),...,f(x_n))$?

Can $\prod_{n=1}^\infty(1+e^{2\pi i n\tau})$ be expressed in terms of the Euler Phi Function?

Solution of the differential equation $\ddot{x}(t)+\sin(\omega t)x(t)=cos[\eta(t)]$

A function that is in $C^k_b(\mathbb R)$ but not in $C^{k+1}_b(\mathbb R)$

Relation between dilogarithm and its complex conjugate

What is the integral of $e^{x\cos\theta + y\cos\theta}$

Solutions of hypergeometric equation when $c\in\mathbb{Z}$

Calculate $I_{m, n}=\int_{0}^{\pi} \cos^{m}(x)\, \sin^{n}(x) \, dx,$?

Extend an asymptotic relation with integer parameter to real parameters?

Compute a limit that involves a hypergeometric function.

Evaluating $\int_0^\infty\operatorname{erfi}(x)e^{-x^2}\frac{dx}x$

An $\operatorname{erfi}(x)e^{-x^2}$ integral

Asymptotic Expression involving generalized hypergeometric function

integral of definite Meijer's G-function

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