List questions from hypergeometric-function

Published on 03 Aug 2016 - 16:23

250

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Hypergeometric function generating function

Published on 03 Aug 2016 - 18:18

114

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Contour inegration involving a confluent hypergeometric function with a pole at zero

Published on 06 Aug 2016 - 7:55

615

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Finding the value of ${_2F_1}\left(\frac12,\frac12;\ 1;\ 1/9\right)$

Published on 10 Aug 2016 - 19:22

146

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Root, divergence of hypergeometric function $1F1$

Published on 12 Aug 2016 - 14:04

261

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Proof of Integral (Gradshteyn & Ryzhik 3.462.1)

Published on 12 Aug 2016 - 15:36

312

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Challenging definite integral of hypergeometric functions

Published on 12 Aug 2016 - 17:20

216

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hypergeometric 2F2 function close form for specific case

Published on 13 Aug 2016 - 20:11

556

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When is ${\large\int}\frac{dx}{\left(1+x^a\right)^a}$ an elementary function?

Published on 25 Mar 2026 - 20:35

394

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Integral ${\large\int}_0^1\frac{dx}{(1+x^{\sqrt2})^{\sqrt2}}$

Published on 16 Aug 2016 - 19:42

59

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Generalized Laguerre function $ L^{\alpha}_n(x)$ fo $\alpha$ not necessarily a positive integer

Published on 25 Mar 2026 - 19:02

600

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Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$

Published on 22 Aug 2016 - 15:30

216

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What solution does Maple give to this difference equation?

Published on 26 Mar 2026 - 20:36

686

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Prove the AGM identity using only Hypergeometric series

Published on 26 Aug 2016 - 7:54

327

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Prove $\int_0^\infty \frac{dx}{\sqrt{(x^4+a^4)(x^4+b^4)}}=\frac{\pi}{2 \sqrt2 a b} ( \text{agm} (\frac{a+b}{2},\sqrt{\frac{a^2+b^2}{2}} ))^{-1}$

Published on 25 Mar 2026 - 23:42

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Zeros of Fox-Wright Function

Hypergeometric function generating function

Contour inegration involving a confluent hypergeometric function with a pole at zero

Finding the value of ${_2F_1}\left(\frac12,\frac12;\ 1;\ 1/9\right)$

Root, divergence of hypergeometric function $1F1$

Proof of Integral (Gradshteyn & Ryzhik 3.462.1)

Challenging definite integral of hypergeometric functions

hypergeometric 2F2 function close form for specific case

When is ${\large\int}\frac{dx}{\left(1+x^a\right)^a}$ an elementary function?

Integral ${\large\int}_0^1\frac{dx}{(1+x^{\sqrt2})^{\sqrt2}}$

Generalized Laguerre function $ L^{\alpha}_n(x)$ fo $\alpha$ not necessarily a positive integer

Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$

What solution does Maple give to this difference equation?

Prove the AGM identity using only Hypergeometric series

Prove $\int_0^\infty \frac{dx}{\sqrt{(x^4+a^4)(x^4+b^4)}}=\frac{\pi}{2 \sqrt2 a b} ( \text{agm} (\frac{a+b}{2},\sqrt{\frac{a^2+b^2}{2}} ))^{-1}$

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