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Expansion of product of spherical Bessel function and spherical harmonic

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#taylor-expansion #bessel-functions #spherical-harmonics
109
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Bessel integration with exponential function

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#bessel-functions
154
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Product of Bessel function of different order

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#bessel-functions
213
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Asymptotic form of Bessel $Y_0(x)$ for small $x$

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#asymptotics #improper-integrals #bessel-functions
144
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Integral of sine multiplied by zeroth-order Bessel function with complicated arguments

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#integration #definite-integrals #special-functions #bessel-functions
332
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Derivation of 0th Order Bessel Function

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#bessel-functions
2.5k
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Anyone know how to take the 2nd derivative of a spherical bessel function?

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#derivatives #bessel-functions #spherical-harmonics
336
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addition theorem for product of THREE Bessel functions: $\sum_n I_{n+m}(a) I_{n-m}(b) I_{p-n}(c)$

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#calculus #multivariable-calculus #special-functions #bessel-functions #hypergeometric-function
2.6k
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Delta-function representations, Bessel function

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#integration #sequences-and-series #dirac-delta #bessel-functions
207
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Sum involving exp of squared zeros of Bessel functions

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#sequences-and-series #complex-analysis #special-functions #bessel-functions #zeta-functions
633
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Prove the limiting case of a modified Bessel Function of the first kind as $x \to 0$

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#calculus #limits #bessel-functions
540
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Proof of an identity of the Bessel function

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#functions #derivatives #bessel-functions
2.4k
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Sum of Bessel functions

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#summation #recurrence-relations #bessel-functions
98
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Laplace Transform of product of modified Bessel and natural logarithm function

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#laplace-transform #bessel-functions
154
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How can we solve this form of the Bessel equation?

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#ordinary-differential-equations #bessel-functions #frobenius-method

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