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What value of $k$ makes these relations equal? This is what I have tried...

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#gamma-function #hypergeometric-function
61
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Closed Form of the following infinite series

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#sequences-and-series #special-functions #hypergeometric-function #hyperbolic-functions
52
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Can $- (s^2 + (n + 1) s + n (n - 1)) \frac{\prod^{n - 2}_{^{} k = 1} (s - k)}{\prod^n_{k = 0} (s + k)}$ be written as a hypergeometric function?

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#summation #gamma-function #hypergeometric-function
71
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Convergence of an infinite sum involving Gauss' hypergeometric function

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#complex-analysis #summation #hypergeometric-function
51
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Solving an integral with hypergeometric function

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#calculus #integration #hypergeometric-function
139
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I want to compute this thing $\sum_{k=0}^{n}{\binom{n}{k}\frac{1}{2k+1}}$ without a dropped induction.

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#combinatorics #summation #binomial-coefficients #hypergeometric-function
727
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About the integral $\int_{0}^{\pi/4}\log^4(\cos\theta)\,d\theta$

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#reference-request #summation #special-functions #hypergeometric-function
519
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On the integral $\int_{0}^{1/2}\frac{\text{Li}_3(1-z)}{\sqrt{z(1-z)}}\,dz$

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#integration #reference-request #special-functions #hypergeometric-function #polylogarithm
211
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What is the series representation of $\int_{0}^{t} \exp(-x^n)\, dx$ where $n$ is a positive integer?

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#integration #sequences-and-series #hypergeometric-function #error-function
101
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evaluate Integral using hypergeometric function (how to get to 2F1)

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#integration #indefinite-integrals #parametric #hypergeometric-function
239
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Is this Hypergeometric Identity new?

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#hypergeometric-function
261
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Gamma Identities from Inverse Transform

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#gamma-function #inverse-function #hypergeometric-function #mellin-transform
156
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Continuity of hypergeometric function in the arguments

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#hypergeometric-function
2.7k
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Lagrange Inversion Theorem Proof

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#taylor-expansion #residue-calculus #hypergeometric-function #polylogarithm #lagrange-inversion
314
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Connection Formula for Hypergeometric Function 2F1

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#hypergeometric-function

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