Rapidly convergent series and closed-form expressions for a class of integrals involving products of spherical Bessel functions

Convergence and divergence of series and sequences of functions (40A30) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Convergence and divergence of integrals (40A10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

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Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
Symbolic integration of a product of two spherical Bessel functions with an additional exponential and polynomial factor
Integrating products of Bessel functions with an additional exponential or rational factor
Accurate evaluation of an integral involving the product of two Bessel functions and a Gaussian
On a Bessel function integral
Double exponential formulas for numerical integration
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A new development of the theory of the hypergeometric functions.
On the evaluation of sunset-type Feynman diagrams
On the numerical evaluation of an oscillating infinite series
On an integral related to biaxially anisotropic media
Evaluating infinite integrals involving products of Bessel functions of arbitrary order
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An integral transform involving the product of Bessel functions and Whittaker function and its application
The numerical algorithms of infinite integrals involving products of Bessel functions of arbitrary order
Mellin-Barnes integrals. A primer to particle physics applications
Numerical study on integrals involving the product of Bessel functions and a trigonometric function arising in hydrodynamic problems
Evaluation of integrals and the Mellin transform
The special functions and their approximations. Vol. I, II
The generalized hypergeometric function as the Meijer \(G\)-function
Elementary exact evaluation of infinite integrals of the product of several spherical Bessel functions, power and exponential
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The Asymptotic Expansion of the Meijer G-Function
The G and H Functions as Symmetrical Fourier Kernels
The tanh transformation for singular integrals
On the evaluation of the integral over the product of two spherical Bessel functions
Motion of a rigid particle in a rotating viscous flow: an integral equation approach
An algorithm for a series expansion of the meijerG-function
The Numerical Evaluation of Very Oscillatory Infinite Integrals by Extrapolation
Development of non-linear transformations for improving convergence of sequences
Integral Evaluation Using the Mellin Transform and Generalized Hypergeometric Functions: Tutorial and Applications to Antenna Problems
The Weighted Averages Method for Semi-Infinite Range Integrals Involving Products of Bessel Functions
Algorithm 935
On the scalar diffraction by a circular aperture in an infinite plane screen
On certain integrals of Lipschitz-Hankel type involving products of bessel functions

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