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Hints on evaluating $\int_{0}^{k} x J_{n}^2(x) dx$

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#integration #definite-integrals #bessel-functions
817
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Bessel differential equation, Bessel functions and variable sign change

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#complex-analysis #ordinary-differential-equations #bessel-functions
38
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Neumann expansion of seemingly simple series

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#complex-analysis #power-series #bessel-functions
37
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Solution of, an ODE related to the modified bessel equation.

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#ordinary-differential-equations #bessel-functions #fluid-dynamics
787
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Expressing the solution of a differential equation in terms of the Bessel equation of order 2

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#ordinary-differential-equations #bessel-functions
126
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Integral representation for the solution of a difference equation

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#recurrence-relations #asymptotics #bessel-functions #initial-value-problems
434
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Integrating triple product of Bessel functions over a finite domain

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#integration #definite-integrals #bessel-functions
147
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Integral of two Bessel functions product times Gaussian

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#integration #bessel-functions #gaussian-integral
236
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Fourier transform of "hyperbolically distorted" Gaussian / Bessel-type integrals

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#integration #fourier-transform #bessel-functions
80
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Bounds for the error of this approximation to the Bessel function

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#integration #numerical-methods #approximation #bessel-functions
1.9k
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2D Fourier of Bessel

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#fourier-transform #bessel-functions
991
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Find the general solution in terms of Bessel functions: $t^2x'' + x' + x = 0, \quad t < 0, \text{ Hint: } s = 2\sqrt{t}$

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#ordinary-differential-equations #bessel-functions
1.2k
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Double integral with Hankel transform

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#integration #bessel-functions #integral-transforms
134
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Why a solution for $c^2 \Delta u = u_{tt}$ must have eigenfunctions as its series terms expansion?

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#real-analysis #sequences-and-series #partial-differential-equations #bessel-functions #wave-equation
240
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Can we refine this asymptotic for Laguerre polynomials?

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#limits #asymptotics #approximation #bessel-functions #orthogonal-polynomials

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