Question

How to prove this equality of double q-series?

score 27 · Answer 1 · 2026-04-14 00:06:33

27

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How to prove this equality of double q-series?

Published on 14 Apr 2026 - 0:06

score 156 · Answer 2 · 2026-04-16 00:29:54

156

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Prove $f(\xi)$ behaves as $e^{\xi^2}$ if $\lambda<0$ in $\frac{d^2f}{d\xi^2}-2\xi\frac{df}{d\xi}+2\lambda f(\xi)=0$

Published on 16 Apr 2026 - 0:29

score 108 · Answer 3 · 2026-04-17 02:48:41

108

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Evaluate $\underset{n\to \infty }{\text{lim}}\left(\sum _{k=1}^n \frac{2^{k/n}}{\frac{1}{k}+n}\right)$

Published on 17 Apr 2026 - 2:48

score 96 · Answer 4 · 2026-04-13 11:22:19

96

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solution of $x^x = ax^b$

Published on 13 Apr 2026 - 11:22

score 237 · Answer 5 · 2026-04-13 12:59:43

237

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Incomplete gamma function continued fraction converges initially to wrong value

Published on 13 Apr 2026 - 12:59

score 110 · Answer 6 · 2026-04-16 13:32:17

110

Views

Why does $\operatorname{Im}\psi\left(\frac{1}{2}+i x\right)=\frac{\pi}{2}\tanh(\pi x)$, and what can be said of the real part?

Published on 16 Apr 2026 - 13:32

score 35 · Answer 7 · 2026-04-15 09:49:05

35

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Lower bounds for Lerch transendant

Published on 15 Apr 2026 - 9:49

score 520 · Answer 8 · 2026-04-22 14:07:53

520

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How to derive the alternate forms of Power Series Expansion for Modified Bessel Functions of the second kind?

Published on 22 Apr 2026 - 14:07

score 2.5k · Answer 9 · 2026-04-11 10:53:00

2.5k

Views

Derive Rodrigues’ formula for Laguerre polynomials

Published on 11 Apr 2026 - 10:53

score 558 · Answer 10 · 2026-04-09 01:25:39

558

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How can I derive the leading term of asymptotic expansion from WKB approximation.

Published on 09 Apr 2026 - 1:25

score 226 · Answer 11 · 2026-04-16 04:39:22

226

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Integrals related to the modified Bessel functions of the second kind

Published on 16 Apr 2026 - 4:39

score 33 · Answer 12 · 2026-04-15 01:53:54

33

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score 64 · Answer 13 · 2026-04-11 16:22:19

64

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An asymptotic about the ratio of Gamma function.

Published on 11 Apr 2026 - 16:22

score 319 · Answer 14 · 2026-04-12 17:25:08

319

Views

Square of the Error Function

Published on 12 Apr 2026 - 17:25

score 985 · Answer 15 · 2026-04-11 18:39:05

985

Views

Derive the Rodrigues' formula for Chebyshev Polynomials

Published on 11 Apr 2026 - 18:39

List Question

How to prove this equality of double q-series?

Prove $f(\xi)$ behaves as $e^{\xi^2}$ if $\lambda<0$ in $\frac{d^2f}{d\xi^2}-2\xi\frac{df}{d\xi}+2\lambda f(\xi)=0$

Evaluate $\underset{n\to \infty }{\text{lim}}\left(\sum _{k=1}^n \frac{2^{k/n}}{\frac{1}{k}+n}\right)$

solution of $x^x = ax^b$

Incomplete gamma function continued fraction converges initially to wrong value

Why does $\operatorname{Im}\psi\left(\frac{1}{2}+i x\right)=\frac{\pi}{2}\tanh(\pi x)$, and what can be said of the real part?

Lower bounds for Lerch transendant

How to derive the alternate forms of Power Series Expansion for Modified Bessel Functions of the second kind?

Derive Rodrigues’ formula for Laguerre polynomials

How can I derive the leading term of asymptotic expansion from WKB approximation.

Integrals related to the modified Bessel functions of the second kind

Proving the identity of two functions

An asymptotic about the ratio of Gamma function.

Square of the Error Function

Derive the Rodrigues' formula for Chebyshev Polynomials

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