List questions from special-functions

140

Views

On a trigamma squared series $\sum \limits_{n=1}^{\infty} \frac{\left ( \psi^{(1)}(n) \right )^2}{n^2}$

Published on 12 Sep 2017 - 6:29

104

Views

Finding $ {\int e^\sqrt[k]{-a \ln(x)+b} \:dx} $ in terms of special functions

Published on 13 Apr 2026 - 10:40

142

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What is the name of this special function?

Published on 12 Apr 2026 - 8:41

137

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A floor function equation

Published on 09 Apr 2026 - 0:48

69

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Another family of hypergeometric sums that has closed form solutions

Published on 11 Apr 2026 - 5:25

428

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Closed form for $\sum_{n=1}^\infty \left(e-\left(1+\frac{1}{n}\right)^n \right)^2$?

Published on 08 Apr 2026 - 21:04

443

Views

Indefinite integral $\int \arctan^2 x dx$ in terms of the dilogarithm function

Published on 25 Mar 2026 - 5:36

224

Views

Reduction of order of generalized hypergeometric function

Published on 08 Apr 2026 - 21:03

589

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A tough series related with a hypergeometric function with quarter integer parameters

Published on 27 Mar 2026 - 12:55

270

Views

Notation for hypergeometric functions

Published on 12 Apr 2026 - 20:41

80

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Yet another family of hypergeometric sums that has a closed form solution.

Published on 10 Apr 2026 - 0:49

350

Views

How solve this nonlinear trigonometric differential equation

Published on 26 Mar 2026 - 18:59

146

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Assymptotics of incomplete gamma function $\gamma(x /\ln 2,x)$

Published on 14 Apr 2026 - 19:10

67

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Hypergeometric sum with two binomial factors both in the numerator and in the denominator.

Published on 27 Mar 2026 - 14:28

1.2k

Views

Nonlinear differential equation: reduce from second order to first order

Published on 26 Mar 2026 - 20:38

List Question

On a trigamma squared series $\sum \limits_{n=1}^{\infty} \frac{\left ( \psi^{(1)}(n) \right )^2}{n^2}$

Finding $ {\int e^\sqrt[k]{-a \ln(x)+b} \:dx} $ in terms of special functions

What is the name of this special function?

A floor function equation

Another family of hypergeometric sums that has closed form solutions

Closed form for $\sum_{n=1}^\infty \left(e-\left(1+\frac{1}{n}\right)^n \right)^2$?

Indefinite integral $\int \arctan^2 x dx$ in terms of the dilogarithm function

Reduction of order of generalized hypergeometric function

A tough series related with a hypergeometric function with quarter integer parameters

Notation for hypergeometric functions

Yet another family of hypergeometric sums that has a closed form solution.

How solve this nonlinear trigonometric differential equation

Assymptotics of incomplete gamma function $\gamma(x /\ln 2,x)$

Hypergeometric sum with two binomial factors both in the numerator and in the denominator.

Nonlinear differential equation: reduce from second order to first order

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