List questions from special-functions

65

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Solving $\sqrt{\frac{\log\left(x + a + n\right)}{a}} - \sqrt{\frac{\log\left(x + a + n\right)}{x}} = \Phi$ for $x$

Published on 21 Jul 2018 - 20:32

109

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Analytic continuation of Riemann Theta function to positive semidefinite matrices

Published on 25 Mar 2026 - 10:38

102

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How to calculate $\int_{0}^{\pi/4}\sin^{n+1}\theta\cos^{n-1}\theta d\theta$?

Published on 25 Jul 2018 - 14:24

532

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Step function and simple function

Published on 27 Jul 2018 - 5:07

99

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What is the name of the function $D(a,x) = \frac{x^a e^{-x}}{\Gamma(a+1)}$?

Published on 25 Mar 2026 - 21:49

346

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Show that $\int_0^1 4 \space\operatorname{li}(x)^3 \space (x-1) \space x^{-3} dx = \zeta(3) $

Published on 25 Mar 2026 - 15:12

626

Views

Sum of associated Legendre functions

Published on 23 Feb 2026 - 13:25

128

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Computing an infinite limit involving a double integral

Published on 02 Aug 2018 - 13:26

87

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Sine integral and hyperbolic tangent.

Published on 04 Aug 2018 - 12:57

105

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A specific integral

Published on 05 Aug 2018 - 19:56

299

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Kernel of Hankel Transform

Published on 26 Mar 2026 - 23:07

185

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Integral Resulting in Hypergeometric Function

Published on 26 Mar 2026 - 6:26

417

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Definition of Poincaré rank

Published on 10 Aug 2018 - 13:57

1.2k

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Proving that the Gamma function infinite product definition extends its integral form definition

Published on 26 Mar 2026 - 1:28

88

Views

The solutions of $(y')^2=P(y)$ with $\deg P \in \{3,4\}$.

Published on 25 Mar 2026 - 6:12

List Question

Solving $\sqrt{\frac{\log\left(x + a + n\right)}{a}} - \sqrt{\frac{\log\left(x + a + n\right)}{x}} = \Phi$ for $x$

Analytic continuation of Riemann Theta function to positive semidefinite matrices

How to calculate $\int_{0}^{\pi/4}\sin^{n+1}\theta\cos^{n-1}\theta d\theta$?

Step function and simple function

What is the name of the function $D(a,x) = \frac{x^a e^{-x}}{\Gamma(a+1)}$?

Show that $\int_0^1 4 \space\operatorname{li}(x)^3 \space (x-1) \space x^{-3} dx = \zeta(3) $

Sum of associated Legendre functions

Computing an infinite limit involving a double integral

Sine integral and hyperbolic tangent.

A specific integral

Kernel of Hankel Transform

Integral Resulting in Hypergeometric Function

Definition of Poincaré rank

Proving that the Gamma function infinite product definition extends its integral form definition

The solutions of $(y')^2=P(y)$ with $\deg P \in \{3,4\}$.

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