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Expectation of a function of a Poisson random variable

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#sequences-and-series #probability-distributions #hypergeometric-function
306
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Integral $\int_0^\infty dp \, \frac{p^5 \sin(p x) e^{-b p^2}}{p^4 + a^2}$: any clever ideas?

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#calculus #definite-integrals #residue-calculus #hypergeometric-function
205
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Solutions of hypergeometric equation when $c\in\mathbb{Z}$

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#ordinary-differential-equations #special-functions #hypergeometric-function
473
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Expansion of hypergeometric function for large arguments

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#asymptotics #mathematical-physics #hypergeometric-function
333
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Help with Mellin-Barnes Integral (product of two Hypergeometrics)

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#integration #functional-analysis #contour-integration #hypergeometric-function
40
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Hypergeometric, selecting together or one by one?

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#hypergeometric-function
492
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HyperGeometric distribution : Inutition for symmetry

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#statistics #statistical-inference #hypergeometric-function
82
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Problem with a Hypergeometric function integral

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#integration #complex-analysis #hypergeometric-function
59
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Conjecture: $(x^\alpha+p)^\beta=\,_1F_0(\beta;;x^\alpha+p-1)$ and ideas for proof

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#sequences-and-series #power-series #taylor-expansion #hypergeometric-function
434
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Exact value of Elliptic Integrals.

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#sequences-and-series #special-functions #hypergeometric-function #elliptic-integrals #elliptic-functions
753
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PMF of HGeom & Binom Distributions (Women and Men getting promoted)

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#binomial-distribution #conditional-probability #hypergeometric-function
81
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Computation of a sum involving gamma functions

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#summation #gamma-function #hypergeometric-function
70
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My attempt at $f''(x)+\sin(f'(x))=0$ does it work?

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#ordinary-differential-equations #power-series #indefinite-integrals #hypergeometric-function
116
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Understanding Mathematica's formula for $ \int_0^{\infty } x^a \exp \left(-\frac{c x^2+f x}{b}\right) \, dx $

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#definite-integrals #hypergeometric-function #mathematica
203
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Probability Function Hypergeometric distribution

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#statistics #probability-distributions #hypergeometric-function

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