List questions from special-functions

Published on 13 Apr 2026 - 18:10

97

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Proof the equality $\prod_{r=1}^{mn}\left(x+mn -r\right)=\prod_{k=1}^{m}\prod_{l=1}^{n}\left(x+mn-(1+ml-k) \right)$

Published on 26 Mar 2026 - 12:53

442

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Integral of a product of Legendre polynomials

Published on 16 Apr 2026 - 23:59

94

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What properties do have odd quadratic parabola and even cubic parabola? Were they ever described?

Published on 16 Apr 2026 - 15:18

237

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Area under period of $\mathrm{a^{csc(x)}}$.

Published on 14 Apr 2026 - 12:05

114

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Closed form evaluation of a class of inverse hyperbolic integrals

Published on 13 Apr 2026 - 6:38

278

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How can I evaluate $\int _0^1\frac{\operatorname{Li}_2\left(-x^2\right)}{\sqrt{1-x^2}}\:\mathrm{d}x$

Published on 16 Apr 2026 - 8:05

304

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Approximating the Digamma function for small arguments

Published on 12 Apr 2026 - 11:49

92

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Alternative orthogonality relations between associated Legendre polynomials

Published on 15 Apr 2026 - 0:01

467

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Generating function of the polylogarithm.

Published on 11 Apr 2026 - 7:40

117

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Is there a Mathematics Database to find specific formula's meaning in real world?

Published on 09 Apr 2026 - 21:10

127

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Does a general procedure exist for reducing ${_2F_1}(a,b;c;z)$ when $a,b,c\in\Bbb Q$?

Published on 14 Apr 2026 - 10:31

62

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Does $\sum^\infty_{s=1}\delta^{s-1}\frac{1}{1 + cs}$ have a closed-form expression?

Published on 12 Apr 2026 - 22:09

78

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An equality about the minimum of the Gamma function .

Published on 12 Apr 2026 - 5:24

221

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Integral Airy functions

Published on 30 Apr 2026 - 14:10

List Question

Arctan integral $ \int_{0}^{\infty}\frac{\arctan(x)}{x^{2}+k^{2}}$

Proof the equality $\prod_{r=1}^{mn}\left(x+mn -r\right)=\prod_{k=1}^{m}\prod_{l=1}^{n}\left(x+mn-(1+ml-k) \right)$

Integral of a product of Legendre polynomials

What properties do have odd quadratic parabola and even cubic parabola? Were they ever described?

Area under period of $\mathrm{a^{csc(x)}}$.

Closed form evaluation of a class of inverse hyperbolic integrals

How can I evaluate $\int _0^1\frac{\operatorname{Li}_2\left(-x^2\right)}{\sqrt{1-x^2}}\:\mathrm{d}x$

Approximating the Digamma function for small arguments

Alternative orthogonality relations between associated Legendre polynomials

Generating function of the polylogarithm.

Is there a Mathematics Database to find specific formula's meaning in real world?

Does a general procedure exist for reducing ${_2F_1}(a,b;c;z)$ when $a,b,c\in\Bbb Q$?

Does $\sum^\infty_{s=1}\delta^{s-1}\frac{1}{1 + cs}$ have a closed-form expression?

An equality about the minimum of the Gamma function .

Integral Airy functions

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