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sum of product of bessel functions with constant difference in index

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#sequences-and-series #special-functions #bessel-functions
249
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Closed form of a complicated series

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#sequences-and-series #complex-analysis #special-functions
75
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Limit of the confluent Lauricella function of three variable

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#functional-analysis #limits #special-functions #hypergeometric-function
85
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Calculate the Indefinite integral

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#integration #special-functions
429
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How to express error function by confluent hypergeometric function

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#special-functions #hypergeometric-function #error-function
373
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Integral involving Airy function

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#definite-integrals #special-functions #airy-functions
129
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Evaluate $\int_{0}^\infty\frac{2}{({M-1})!}\sqrt{\frac{a}{x}}K_1\left(2\sqrt{\frac{a}{x}}\right)x^{M-1}\frac{e^{-\frac{x}{b}}}{b^M}\,dx$

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#integration #indefinite-integrals #special-functions
220
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Some of approximations related to integrals and elliptic functions

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#improper-integrals #special-functions #elliptic-integrals #elliptic-functions #approximate-integration
280
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Evaluate $\int^1_0 x^a (1-x)^b \operatorname{Li}_2 (x)\, \mathrm dx$

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#integration #definite-integrals #special-functions #closed-form #polylogarithm
100
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Nasty integrals involving polylogarithms

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#integration #definite-integrals #special-functions
229
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General formula for $\int^1_0 x^\alpha \log(1-x)\operatorname{Li}_2 (x)\, \mathrm dx$

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#integration #definite-integrals #special-functions #mathematica
76
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What are these special functions?

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#sequences-and-series #special-functions
291
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Computing the integral $I=\int_{0}^{1}\sqrt{1-x^{\pi}}dx$

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#calculus #integration #special-functions
52
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Solutions of a differential and its related integral equation

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#calculus #ordinary-differential-equations #analysis #special-functions #integral-equations
77
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Gamma function identity proof

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#solution-verification #proof-explanation #special-functions #alternative-proof #gamma-function

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