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Verification of integral representation of zeta function

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#integration #gamma-function #riemann-zeta #bessel-functions #mellin-transform
262
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How should I integrate this function?

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#integration #complex-analysis #complex-numbers #special-functions #bessel-functions
76
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Question on the infinite sum of Bessel functions multiplied by $\frac{x^n}{n!}$

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#sequences-and-series #bessel-functions
157
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Generalised Fourier Transform for Spherical Bessel Functions

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#partial-differential-equations #fourier-transform #bessel-functions
209
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How can I solve this integral involving the Bessel function?

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#integration #bessel-functions
97
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Double integral involving Hyperbolic Arctangent leading to Bessel functions

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#integration #definite-integrals #special-functions #bessel-functions
24
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Where did I go wrong in proving this spherical Bessel identity?

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#ordinary-differential-equations #bessel-functions
62
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A Bessel functions related reccurence

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#recurrence-relations #special-functions #bessel-functions
81
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The distribution function of a running supremum of a diffusion process in a particular limit.

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#stochastic-processes #brownian-motion #supremum-and-infimum #bessel-functions #inverse-laplace
77
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How is the integral form of the Bessel function related to infinite sum form that results by directly solving the differential equation?

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#complex-analysis #asymptotics #bessel-functions
66
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Integrating Modified Bessel Function of Second Kind

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#integration #bessel-functions
57
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Convergence of an integral involving Bessel functions

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#convergence-divergence #improper-integrals #bessel-functions
65
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Can generating functions be used to solve evolution matrix differential equations and recurrence relations of matrices?

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#ordinary-differential-equations #generating-functions #matrix-equations #bessel-functions #matrix-exponential
44
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Local Uniform Convergence of a series of modified Bessel functions of the first kind

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#real-analysis #uniform-convergence #special-functions #bessel-functions
154
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Complex zeros of modified Bessel functions of first kind with order zero

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#complex-analysis #analysis #roots #bessel-functions

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