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Integral of product of zeroth-order bessel functions times cosine $\int J_{0}\left(\alpha x\right)J_{0}\left(\beta x\right)\cos(kx)\,\mathrm{d}x$

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#integration #bessel-functions #hypergeometric-function
46
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Compute this numerical series

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#calculus #sequences-and-series #convergence-divergence #hypergeometric-function #geometric-series
23
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How to differ between Binomial and Hypergeometric Distributions while solving problems?

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#probability #probability-distributions #binomial-distribution #hypergeometric-function
43
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Solve Convoluted Integral with Gauss Hypergeometric function

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#integration #special-functions #complex-integration #hypergeometric-function
215
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Value of $ {_3F_2}{\left(1,n+\frac32,1-r;\frac32,n+2;1\right)} $

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#sequences-and-series #binomial-coefficients #closed-form #hypergeometric-function
35
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Approximate inverse Mellin transform

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#approximation #gamma-function #complex-integration #hypergeometric-function #mellin-transform
99
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Approximation formula for the Kummer function ${}_1F_1(a, b, x)$ for large $x$?

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#special-functions #hypergeometric-function
25
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Relation between Gaussian integral and Kummer's hypergeometric function

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#improper-integrals #special-functions #hypergeometric-function #spherical-geometry #gaussian-integral
52
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Asymptotic Behaviors of Hypergeometric function for two large parameters

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#limits #asymptotics #hypergeometric-function
87
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Exact bounds for the Median of the Hypergeometric distribution

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#probability #inequality #probability-distributions #hypergeometric-function #median
68
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How to write Tricomi's confluent hypergeometric function in terms of Meijer-G function

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#special-functions #hypergeometric-function
176
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I'm stuck in calculating $_2F_1(1,1;\tfrac12;\tfrac12)$

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#special-functions #hypergeometric-function
92
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Closed form for a finite sum

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#real-analysis #sequences-and-series #algebra-precalculus #binomial-coefficients #hypergeometric-function
36
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Integral of hypergeometric function

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#integration #definite-integrals #special-functions #hypergeometric-function
62
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Any simplification of $\sum_{k=0}^{n}\binom{n}{k} \frac{(-1)^{k}}{(N-k)^2}$

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#summation #binomial-coefficients #hypergeometric-function

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