List questions from special-functions

Published on 14 Apr 2026 - 10:39

400

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Evaluating $ \int_0^{\infty}\frac{v}{\sqrt{v + c}}e^{-\frac{y^2}{2(v + c)} - \frac{(u-v)^2}{u^2v}}dv$

Published on 15 Apr 2026 - 6:06

435

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Nicer expression for the following differential operator

Published on 11 Apr 2026 - 0:49

1.1k

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solving Bessel function equation by hand

Published on 13 Apr 2026 - 0:44

117

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Condition for frame of $L_2$

Published on 13 Apr 2026 - 16:14

2.7k

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Integral of product of exponential function and two complementary error functions (erfc)

Published on 13 Apr 2026 - 3:14

373

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A particular case of Truesdell's unified theory of special functions

Published on 13 Apr 2026 - 19:00

612

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On the zeta sum $\sum_{n=1}^\infty[\zeta(5n)-1]$ and others

Published on 14 Apr 2026 - 22:30

928

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The function $f(x) = \int_0^\infty \frac{x^t}{\Gamma(t+1)} \, dt$

Published on 15 Apr 2026 - 20:17

256

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prove equality with integral and series

Published on 13 Apr 2026 - 12:06

297

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Hypergeometric functions inequality

Published on 15 Apr 2026 - 17:51

470

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Common zeros of associated Legendre functions

Published on 09 Apr 2026 - 16:43

5.4k

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Euler's product formula for $\sin(\pi z)$ and the gamma function

Published on 14 Apr 2026 - 1:13

158

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How to find a function with the following properties?

Published on 11 Apr 2026 - 12:26

126

Views

To simplify $f_a(x)= \int_{-a}^{+a} e^ {-\frac{x}{t^2-a^2}}\;dt$

Published on 14 Apr 2026 - 23:39

List Question

Polynomials in Fourier trigonometric series

Evaluating $ \int_0^{\infty}\frac{v}{\sqrt{v + c}}e^{-\frac{y^2}{2(v + c)} - \frac{(u-v)^2}{u^2v}}dv$

Nicer expression for the following differential operator

solving Bessel function equation by hand

Condition for frame of $L_2$

Integral of product of exponential function and two complementary error functions (erfc)

A particular case of Truesdell's unified theory of special functions

On the zeta sum $\sum_{n=1}^\infty[\zeta(5n)-1]$ and others

The function $f(x) = \int_0^\infty \frac{x^t}{\Gamma(t+1)} \, dt$

prove equality with integral and series

Hypergeometric functions inequality

Common zeros of associated Legendre functions

Euler's product formula for $\sin(\pi z)$ and the gamma function

How to find a function with the following properties?

To simplify $f_a(x)= \int_{-a}^{+a} e^ {-\frac{x}{t^2-a^2}}\;dt$

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