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Poisson Summation with a Bessel Function

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#fourier-analysis #bessel-functions #poisson-summation-formula
217
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$\int_0^\infty \frac{u}{u^2+\sigma^2} \, J_{4m} (u) \, \mathrm{d} u = K_{4m}(\sigma) + ?$

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#calculus #integration #improper-integrals #indefinite-integrals #bessel-functions
79
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Verification: Eigenfunction expansion using products of bessel and spherical harmonics

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#mathematical-physics #orthogonality #bessel-functions #sturm-liouville #spherical-harmonics
51
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bessel j asymtopic equality

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#calculus #sequences-and-series #asymptotics #bessel-functions
54
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Integral with Product of Exponentials of Cosines (Modified Bessel Function?)

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#integration #trigonometry #exponential-function #bessel-functions
61
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Symmetric coupled second order differential equations

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#ordinary-differential-equations #bessel-functions
56
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Non-homogeneous bessel recurrence relation

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#recurrence-relations #bessel-functions
190
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Is there a closed sum to the following series?

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#sequences-and-series #taylor-expansion #bessel-functions #bernoulli-numbers
172
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What does this particular bessel with a superscript and ordered pair mean?

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#calculus #integration #bessel-functions
61
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Rice distribution

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#probability-distributions #density-function #bessel-functions
120
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Why are Bessel functions of the first kind linearly dependent when the parameter in Bessel's equation is an integer?

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#bessel-functions
86
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Circular symmetry heat equation

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#partial-differential-equations #fourier-transform #mathematical-modeling #bessel-functions #heat-equation
17
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Injectivity of the modified Bessel function of the second kind $K_n(z)$.

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#bessel-functions
222
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Strategies for solving the infinite integral $\int_0^\infty \frac{k}{k^2+\alpha^2} \, J_0(k) J_0(kr) \, \mathrm{d}k $ where $r \ge 0$ and $\alpha > 0$

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#real-analysis #calculus #integration #improper-integrals #bessel-functions
171
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Is it possible to Expand the Dirac Delta function into the summation of a serie of certain Bessel functions?

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#sequences-and-series #partial-differential-equations #fourier-series #dirac-delta #bessel-functions

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