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15
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Closed-form solution or approximation to an infinite series of modified Bessel Functions

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#sequences-and-series #probability-distributions #definite-integrals #special-functions #bessel-functions
319
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Harmonic sum with Dirichlet eta tail

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#calculus #integration #sequences-and-series #special-functions #harmonic-numbers
75
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An integral of the form $\int^\infty_0 \mathrm{d}x \left(\frac{1-e^{-x}}{x}\right)^2$ and the exponential integral

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#integration #definite-integrals #special-functions
70
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Calculation of a derivative of a function related to the Euler Gamma function

Published on
#special-functions #gamma-function #polygamma
28
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Prove an inequality with confluent hypergeometric functions

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#inequality #special-functions #hypergeometric-function
79
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A Dilogarithmic Sum

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#integration #summation #special-functions #roots-of-unity
32
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Analytic continuation of incomplete beta function

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#complex-analysis #special-functions #hypergeometric-function #beta-function #branch-cuts
277
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Analytic extension of $\text{Li}_0^{(1,0)}(z):=-\displaystyle\sum_{n=1}^{\infty}\ln(n)z^{n}$ for $|z|>1$

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#sequences-and-series #functions #special-functions #analytic-functions #analytic-continuation
53
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Integrating non-integer power of binomial

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#definite-integrals #special-functions
85
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Maximizing a function that contain a binomial coefficient term?

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#probability #optimization #binomial-coefficients #special-functions #non-convex-optimization
78
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Finding a seemingly non-homogeneous function

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#real-analysis #calculus #complex-analysis #functions #special-functions
56
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Spectrum of Klein-Gordon operator in Hyperbolic space.

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#ordinary-differential-equations #special-functions #hypergeometric-function
158
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Closed form for the series :$\sum_{n=1}^{\infty } \frac{\tan^{-1}(n)}{n^{2}}$

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#sequences-and-series #special-functions
98
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Asymptotic limit of Hypergeometric function into Whittaker function.

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#limits #asymptotics #special-functions #hypergeometric-function
64
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Invalid solution of a complicated integral

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#calculus #integration #special-functions

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