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Hankel transform of a Bessel function of different order

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#distribution-theory #integral-transforms #bessel-functions
119
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How to prove that $J_\frac{-5}{2}(x)= \frac{\sqrt2}{\sqrt{x\pi}}[\frac{3}{x}\sin x+\frac{3-x^2}{x^2}\cos x]$

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#ordinary-differential-equations #bessel-functions
985
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Definite integral with modified Bessel functions of first and second kind

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#definite-integrals #contour-integration #bessel-functions #elliptic-integrals #mellin-transform
2k
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Fourier-Bessel series of $f(x)=x^2$

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#sequences-and-series #definite-integrals #fourier-series #mathematical-physics #bessel-functions
735
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Infinite Bessel function sum

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#sequences-and-series #bessel-functions
250
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Integration using Residue Theorem on Hankel functions

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#integration #contour-integration #bessel-functions #cauchy-integral-formula
1.1k
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Finding Bessel function $J_{1/2}$ using power series method.

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#power-series #bessel-functions
246
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What is the solution of the integral in terms of bessel functions?

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#integration #definite-integrals #bessel-functions
2.8k
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complex conjugate of Bessel function

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#calculus #integration #complex-analysis #special-functions #bessel-functions
118
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complex infinity

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#calculus #complex-analysis #special-functions #bessel-functions
168
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Integrate $\int x|J_1(x)|^2 \, dx$

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#calculus #integration #complex-analysis #special-functions #bessel-functions
780
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Conjectured bound on Bessel function of the first kind

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#analysis #inequality #bessel-functions
75
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How to solve an integral with a fractional order.

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#improper-integrals #laplace-transform #complex-integration #bessel-functions #fractional-calculus
1k
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Expansion coefficients of the constant function for bessel series.

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#special-functions #fourier-series #bessel-functions
183
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Definite integral involving modified Bessel function

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#definite-integrals #bessel-functions

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