List questions from special-functions

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elliptic functions on the 17 wallpaper groups

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Relationship between Dixonian elliptic functions and Borwein cubic theta functions

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Integrating $\frac{x^k }{1+\cosh(x)}$

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Why is the error function defined as it is?

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How can I solve this equation (contains error function)?

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Integral with spherical symmetry over cube

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Series of logarithms $\sum\limits_{k=1}^\infty \ln(k)$ (Ramanujan summation?)

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What is the integral of three orthonormal basis functions?

Published on 10 Apr 2026 - 13:05

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Representing affine transform of Legendre polynomials

Published on 12 Apr 2026 - 0:57

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The graph of $x^{n}+y^{n}=r^{n}$ for sufficiently large $n$

Published on 15 Apr 2026 - 19:53

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better understanding of incomplete gamma function $\Gamma(0,x)$

Published on 13 Apr 2026 - 0:23

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Mixed Bessel Function integral $\int_{0}^{\infty} e^{- \lambda \left(\sqrt{(z+a)^2+b^2}+\sqrt{(z+c)^2+d^2}~\right)}\mathrm{d}z$

Published on 15 Apr 2026 - 2:03

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How to show $ \frac{Q_{k}(1-z^2)-zP_{k}(1-z^2)}{Q_{k}(1-z^2)+zP_{k}(1-z^2)}=\left(\frac{1-z}{1+z}\right)^{2k+1} $ analytically?

Published on 16 Apr 2026 - 4:16

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Tables of Hypergeometric Functions

Published on 14 Apr 2026 - 20:18

List Question

Asymptotic behavior of $\Gamma^{-1}(x)$

elliptic functions on the 17 wallpaper groups

Relationship between Dixonian elliptic functions and Borwein cubic theta functions

Integrating $\frac{x^k }{1+\cosh(x)}$

Why is the error function defined as it is?

How can I solve this equation (contains error function)?

Integral with spherical symmetry over cube

Series of logarithms $\sum\limits_{k=1}^\infty \ln(k)$ (Ramanujan summation?)

What is the integral of three orthonormal basis functions?

Representing affine transform of Legendre polynomials

The graph of $x^{n}+y^{n}=r^{n}$ for sufficiently large $n$

better understanding of incomplete gamma function $\Gamma(0,x)$

Mixed Bessel Function integral $\int_{0}^{\infty} e^{- \lambda \left(\sqrt{(z+a)^2+b^2}+\sqrt{(z+c)^2+d^2}~\right)}\mathrm{d}z$

How to show $ \frac{Q_{k}(1-z^2)-zP_{k}(1-z^2)}{Q_{k}(1-z^2)+zP_{k}(1-z^2)}=\left(\frac{1-z}{1+z}\right)^{2k+1} $ analytically?

Tables of Hypergeometric Functions

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