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Simplify the confluent hypergeometric function with parameters $(n,1,z)$

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#calculus #integration #special-functions
190
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Functional equation $(1-z)f(x)=f(\frac{1-z}{z}f(xz))$

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#special-functions #functional-equations
654
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Clausen and Riemann zeta function

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#real-analysis #special-functions #riemann-zeta
311
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Expected value of a Poisson sum of confluent hypergeometric functions

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#calculus #probability #special-functions #summation
286
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Functional form of a series of a product of Bessels

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#calculus #sequences-and-series #special-functions #laplace-transform
258
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Asymptotics for infinite sum with erf

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#statistics #asymptotics #special-functions
463
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Ordinary generating function for Bernoulli polynomial

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#analysis #number-theory #special-functions
71
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Identity for reducing the power in the parameters of Hypergeometric functions

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#calculus #special-functions #transformation
103
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Gamma Function Problem

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#complex-analysis #special-functions #gamma-function
102
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The number $ \frac{(m)^{(k)}(m)_k}{(1/2)^{(k)} k!}$

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#combinatorics #analysis #number-theory #special-functions
917
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Tough Inverse Fourier Transform

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#ordinary-differential-equations #fourier-analysis #special-functions #definite-integrals #closed-form
690
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Help with special function differential equation

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#ordinary-differential-equations #special-functions
70
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Looking for function with specific properties

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#calculus #real-analysis #functions #special-functions
555
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How to derive the Golden mean by using properties of Gamma function?

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#special-functions #analytic-number-theory #constants
45
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$_{1}{{F}_{1}}\left( 1,c,(a+b)x \right)-\, _{1}{{F}_{1}}\left( 1,c,ax \right)=(?)$

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#special-functions #hypergeometric-function

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