List questions from special-functions

Published on 25 Mar 2026 - 19:25

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A simple manner to get $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{\mu(k)}{(nk)^2t^{1/(nk)^2}}=1/t$, where $\mu(n)$ is the Möbius function, and $t>2$

Published on 26 Mar 2026 - 6:31

692

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Why does the DLMF distinguish between Ferrers functions and the associated Legendre functions?

Published on 26 Mar 2026 - 4:30

475

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How to generalize Reshetnikov's $\arg\,B\left(\frac{-5+8\,\sqrt{-11}}{27};\,\frac12,\frac13\right)=\frac\pi3$?

Published on 26 Mar 2026 - 19:20

127

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Equivalence of Two Integrals

Published on 13 Dec 2016 - 21:25

1.3k

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Riemann zeta function on the line Re(s) = 1

Published on 13 Dec 2016 - 23:13

43

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Riemann zeta type of limit

Published on 13 Dec 2016 - 23:43

1.4k

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The integral representation of Legendre function or Laguerre

Published on 26 Mar 2026 - 4:32

9.4k

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How to derive the power series solution for Associated Legendre Differential Equation

Published on 26 Mar 2026 - 4:31

358

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How to prove this Dirichlet series identity?

Published on 25 Mar 2026 - 20:42

104

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convenient and precise calculation of $\sum_{n=1}^{\infty}\frac{1}{n^b(n+m)^b}$

Published on 15 Dec 2016 - 14:47

189

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Generating function of exponential integrals

Published on 01 Apr 2026 - 14:10

1.9k

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Which one of the following functions dominates the other one?

Published on 16 Dec 2016 - 12:18

305

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definite integral of elliptic integral of first kind

Published on 26 Mar 2026 - 3:12

121

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Determinant For ELO Rating.

Published on 17 Dec 2016 - 17:23

List Question

clarification of math notation

A simple manner to get $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{\mu(k)}{(nk)^2t^{1/(nk)^2}}=1/t$, where $\mu(n)$ is the Möbius function, and $t>2$

Why does the DLMF distinguish between Ferrers functions and the associated Legendre functions?

How to generalize Reshetnikov's $\arg\,B\left(\frac{-5+8\,\sqrt{-11}}{27};\,\frac12,\frac13\right)=\frac\pi3$?

Equivalence of Two Integrals

Riemann zeta function on the line Re(s) = 1

Riemann zeta type of limit

The integral representation of Legendre function or Laguerre

How to derive the power series solution for Associated Legendre Differential Equation

How to prove this Dirichlet series identity?

convenient and precise calculation of $\sum_{n=1}^{\infty}\frac{1}{n^b(n+m)^b}$

Generating function of exponential integrals

Which one of the following functions dominates the other one?

definite integral of elliptic integral of first kind

Determinant For ELO Rating.

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