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15
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Special polynomials and an identity of hypergeometric series

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#sequences-and-series #polynomials #special-functions #hypergeometric-function
341
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About the product of two Elliptic integrals

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#real-analysis #integration #special-functions #hypergeometric-function #elliptic-integrals
106
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Expressing $G_{m,m+1}^{m+1,0}\left(x\middle| \begin{array}{c}1,\cdots,1 \\0,0,\cdots,0\\\end{array}\right)$ as a power series.

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#power-series #special-functions #residue-calculus #hypergeometric-function
813
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Integral involving incomplete beta function

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#integration #statistics #gamma-function #hypergeometric-function #beta-function
70
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Hypergeometric representation of Fresnel $S(x)$

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#calculus #sequences-and-series #power-series #hypergeometric-function
277
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Reduction of hypergeometric function for integer parameters

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#reference-request #hypergeometric-function
67
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Simplify Sum of Hypergeometric Functions

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#hypergeometric-function
121
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Jacobi polynomials and Gram determinants

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#special-functions #hypergeometric-function #orthogonal-polynomials
61
Views

Behavior of the Gaussian Hypergeometric function when one of its arguments approaches $0$ or $1$

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#calculus #limits #statistics #asymptotics #hypergeometric-function
133
Views

Unexpected (incorrect) solution to Lagrange Inversion solution to $x^4 - x^3 - x^2 - x - 1 = 0$ about the solution near $x = 2$

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#sequences-and-series #hypergeometric-function #lagrange-inversion
284
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Integration of $\int^{1}_{-1} \frac {1}{3} \sinh^{-1} \left( \frac {3\sqrt 3}{2} (1-t^2) \right) dt$

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#calculus #integration #definite-integrals #hypergeometric-function
473
Views

Yet another difficult logarithmic integral

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#integration #sequences-and-series #special-functions #hypergeometric-function #polylogarithm
22
Views

Please help with a Hypergeometric probability question

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#hypergeometric-function
107
Views

Simplification of $\sin(\pi^x)$ , with $x$ being a positive irrational number

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#integration #complex-numbers #hypergeometric-function
281
Views

Hypergeometric series for $\mathrm{Cl}_2(\pi/3)$

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#sequences-and-series #special-functions #hypergeometric-function

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