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Evaluation of the integral $I=\int_0^{\infty}[1-J_0(kr)]k^{1-\alpha}dk$

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#definite-integrals #bessel-functions
851
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Fourier series using Bessel function

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#fourier-series #bessel-functions
1.7k
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Generalization of the Jacobi-Anger expansion to higher harmonics

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#complex-analysis #fourier-analysis #bessel-functions
325
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Covariance matrix estimation

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#estimation #covariance #bessel-functions
486
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Why does solving the spherical Bessel equation using Frobenius series produce two quadratic equations for the exponents at the singularity?

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#ordinary-differential-equations #bessel-functions
703
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Determining a constant to a Bessel function solution to an ODE

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#ordinary-differential-equations #boundary-value-problem #bessel-functions
279
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Integral of a Bessel function involving rational functions

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#improper-integrals #bessel-functions
170
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Bounded bessel functions in an s-set projection proof

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#improper-integrals #fractals #geometric-measure-theory #bessel-functions
555
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Definite integral involving modified bessel function of the first kind and its logarithm

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#integration #definite-integrals #special-functions #bessel-functions
309
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Improper integral involving modified bessel functions and and its logarithm

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#integration #bessel-functions
286
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Green's function in a moving frame for a constant heat source

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#ordinary-differential-equations #mathematical-physics #bessel-functions
1.4k
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Spherical Bessel Functions

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#derivatives #bessel-functions
79
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Evaluation of integral $\int_{0}^{\infty} \frac{(k-\frac{1}{2})^{u+j}}{(k+\frac{1}{2})^{u+j+2}} \sqrt{k} J^2_{\ell}(k) \sin{(\tau\sqrt{k})}dk$

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#calculus #analysis #definite-integrals #bessel-functions #laplace-method
341
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double integral equal to modified Bessel function

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#definite-integrals #bessel-functions
82
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Approximation of a series containing Bessel functions

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#sequences-and-series #numerical-methods #special-functions #bessel-functions

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