List questions from special-functions

Published on 22 Apr 2014 - 1:58

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How to prove the transformation formula for Jacobi classic theta function

Published on 22 Apr 2014 - 9:56

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How does one arrive at the asymptotic expressions for the bessel functions?

Published on 28 Mar 2026 - 22:08

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Low bound of Dirichlet eta function

Published on 23 Apr 2014 - 6:09

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What is the Fourier series of $e^{\mu\cos\theta}$?

Published on 26 Mar 2026 - 0:53

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How to find a function from an infinite sequence of derivatives at $x=0$

Published on 24 Apr 2014 - 11:30

288

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$\int_{-1}^{1} x^{k+i} P_n(x)dx$, $P_n$ Legendre polynomial.

Published on 24 Apr 2014 - 14:55

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Why does the asymptotic equation of the modified Bessel of the second kind (Iv) have an imaginary part?

Published on 29 Mar 2026 - 3:36

260

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What is $f_\alpha(x) = \sum\limits_{n\in \mathbb{N}} \frac{n^\alpha}{n!}x^n$?

Published on 27 Apr 2014 - 12:20

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Does $\int_0^{2 \pi} \sqrt{1-(a+b \sin\phi)^2} d\phi $ have a closed form in terms of elliptic integrals?

Published on 25 Mar 2026 - 11:13

893

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Incomplete Gamma function as Meijer G

Published on 27 Apr 2014 - 15:37

290

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What is the integral containing decaying exponential function?

Published on 27 Apr 2014 - 22:12

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Evaluation of definite integral using complex analysis

Published on 28 Apr 2014 - 23:20

77

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Expressing a finite sum in terms of special functions

Published on 27 Mar 2026 - 19:53

380

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Game With 21 Squares, How Many Possible Answers? Function Building

Published on 30 Apr 2014 - 22:20

List Question

Identity concerning Bessel functions

How to prove the transformation formula for Jacobi classic theta function

How does one arrive at the asymptotic expressions for the bessel functions?

Low bound of Dirichlet eta function

What is the Fourier series of $e^{\mu\cos\theta}$?

How to find a function from an infinite sequence of derivatives at $x=0$

$\int_{-1}^{1} x^{k+i} P_n(x)dx$, $P_n$ Legendre polynomial.

Why does the asymptotic equation of the modified Bessel of the second kind (Iv) have an imaginary part?

What is $f_\alpha(x) = \sum\limits_{n\in \mathbb{N}} \frac{n^\alpha}{n!}x^n$?

Does $\int_0^{2 \pi} \sqrt{1-(a+b \sin\phi)^2} d\phi $ have a closed form in terms of elliptic integrals?

Incomplete Gamma function as Meijer G

What is the integral containing decaying exponential function?

Evaluation of definite integral using complex analysis

Expressing a finite sum in terms of special functions

Game With 21 Squares, How Many Possible Answers? Function Building

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