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15
139
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Integration of $r J_0(r)$

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#laplace-transform #bessel-functions
323
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Does $\mathrm{\sum\limits_{-\infty}^\infty Ai(x)=1}$? Also on $\sum\limits_{-\infty}^0 \mathrm{Bi(x)}$.

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#sequences-and-series #recreational-mathematics #special-functions #bessel-functions #airy-functions
117
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Facroring out a constant from the first kind Bessel function's argument

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#summation #bessel-functions
85
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An identity regarding the product of two $K$ Bessel functions.

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#bessel-functions #automorphic-forms #mellin-transform
463
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Evaluation of ${\sum\limits_{\Bbb N} (\text {ker}(x)+i\text{kei(x)})=\sum\limits_1^\infty \text K_0\left(\sqrt ix\right)= 0.133691… - 0.7256312… i}$?

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#sequences-and-series #complex-numbers #special-functions #bessel-functions #trigonometric-integrals
859
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How to calculate the integral of a product of a spherical Hankel function with associated Legendre polynomials

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#definite-integrals #bessel-functions #legendre-polynomials #spherical-harmonics #legendre-functions
98
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Hat Sobolev spaces

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#fourier-analysis #sobolev-spaces #bessel-functions
39
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Why is there a kink in the Bessel Y function

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#soft-question #bessel-functions
20
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Help with: $x^2=2\sum_{i=1}\frac {(ξ_{0i}^2-4)}{ξ_{0i}^2J_1(ξ_{0i})}J_0(ξ_{0i}x)$

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#bessel-functions
66
Views

Understanding Mathematica integration solution

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#definite-integrals #bessel-functions
247
Views

Fourier transform of I (modified, first kind) Bessel function

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#integration #fourier-transform #distribution-theory #bessel-functions
57
Views

Definite integral with exponential and modified Bessel function

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#definite-integrals #bessel-functions
78
Views

Some properties of Bessel function of first kind with integer order

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#special-functions #bessel-functions
86
Views

Asymptotic expansion of integral with Hankel function

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#partial-differential-equations #asymptotics #special-functions #mathematical-physics #bessel-functions
431
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Integral Representation of Modified Bessel Function of the Second Kind

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#integration #definite-integrals #bessel-functions

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