Question

For which of the Weierstrass elliptic function periods do this equation of the modular discriminant and the Dedekind eta function apply?

score 25 · Answer 1 · 2026-03-25 04:42:46

25

Views

For which of the Weierstrass elliptic function periods do this equation of the modular discriminant and the Dedekind eta function apply?

Published on 25 Mar 2026 - 4:42

score 45 · Answer 2 · 2026-04-01 10:30:59

45

Views

Any generalizations of ${}_2F_1\left(\genfrac{}{}{0pt}{0}{a,-a}{{1}/{2}};\sin^2x\right)=\cos(2ax)$?

Published on 01 Apr 2026 - 10:30

score 169 · Answer 3 · 2024-03-04 22:24:34

169

Views

Is there an easier way to evaluate the integral $I=\int_{0}^{1}\frac{\ln x\sin^{-1}x\cos^{-1}x}{x}dx$?

Published on 04 Mar 2024 - 22:24

score 24 · Answer 4 · 2026-03-29 15:36:45

24

Views

Sum of Meijer G-functions with index in the arguments

Published on 29 Mar 2026 - 15:36

score 17 · Answer 5 · 2026-03-30 18:13:48

17

Views

expression of $_1F_1$ at half integer first argument

Published on 30 Mar 2026 - 18:13

score 12 · Answer 6 · 2026-03-27 01:47:30

12

Views

Is there a simpler expression for $\sum_{j=0}^\infty 2^{I(j\neq0)} \cos j\theta \Gamma(2j+1) {\mathbb I}_j(\kappa) $, for large $\kappa$?

Published on 27 Mar 2026 - 1:47

score 51 · Answer 7 · 2024-03-08 11:39:09

51

Views

An explicit expression for a function defined by an integral

Published on 08 Mar 2024 - 11:39

score 45 · Answer 8 · 2026-03-31 14:31:15

45

Views

Proving Wikipedia statement on modified Bessel function $I_\alpha(x)$ for large real argument $x$

Published on 31 Mar 2026 - 14:31

score 24 · Answer 9 · 2026-03-30 18:12:56

24

Views

Analytic continuation of the generalized hypergeometric function ${}_6F_5$

Published on 30 Mar 2026 - 18:12

score 106 · Answer 10 · 2026-03-31 14:24:23

106

Views

Integral of bessel function, power, and exponent

Published on 31 Mar 2026 - 14:24

score 48 · Answer 11 · 2026-03-30 18:15:11

48

Views

simplified expression for ${}_1F_1(1,s+1,z)$ for $s$ positive integer.

Published on 30 Mar 2026 - 18:15

score 85 · Answer 12 · 2024-03-11 16:33:25

85

Views

Closed form answer of an Integral containing exponential and cosine function

Published on 11 Mar 2024 - 16:33

score 90 · Answer 13 · 2026-02-23 16:53:29

90

Views

Calculation for negative integer order Associated Legendre Function

Published on 23 Feb 2026 - 16:53

score 24 · Answer 14 · 2026-03-30 20:15:34

24

Views

An alternative to Tricomi's confluent hypergeometric function?

Published on 30 Mar 2026 - 20:15

score 103 · Answer 15 · 2024-03-15 19:46:13

103

Views

How to integrate $\int_{0}^{1} \frac{x \operatorname{Li}_2(1 - x)}{1 + x^2} \, dx$

Published on 15 Mar 2024 - 19:46

List Question

For which of the Weierstrass elliptic function periods do this equation of the modular discriminant and the Dedekind eta function apply?

Any generalizations of ${}_2F_1\left(\genfrac{}{}{0pt}{0}{a,-a}{{1}/{2}};\sin^2x\right)=\cos(2ax)$?

Is there an easier way to evaluate the integral $I=\int_{0}^{1}\frac{\ln x\sin^{-1}x\cos^{-1}x}{x}dx$?

Sum of Meijer G-functions with index in the arguments

expression of $_1F_1$ at half integer first argument

Is there a simpler expression for $\sum_{j=0}^\infty 2^{I(j\neq0)} \cos j\theta \Gamma(2j+1) {\mathbb I}_j(\kappa) $, for large $\kappa$?

An explicit expression for a function defined by an integral

Proving Wikipedia statement on modified Bessel function $I_\alpha(x)$ for large real argument $x$

Analytic continuation of the generalized hypergeometric function ${}_6F_5$

Integral of bessel function, power, and exponent

simplified expression for ${}_1F_1(1,s+1,z)$ for $s$ positive integer.

Closed form answer of an Integral containing exponential and cosine function

Calculation for negative integer order Associated Legendre Function

An alternative to Tricomi's confluent hypergeometric function?

How to integrate $\int_{0}^{1} \frac{x \operatorname{Li}_2(1 - x)}{1 + x^2} \, dx$

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