On a bessel function integral
Copyright policy )On a bessel function integral
The authors present a linear combination of two integrals for calculating the integral \[ \int^ \infty_ 0xe^{-\eta x^ 2}J_ b(Kx)Y_ b(kx)dx \] where \(\eta\), \(K\), \(k\) and \(b\) are all positive real numbers. Bessel functions and Shkarofsky functions are used for this transformation.
- Harvard University United States
- University of Sydney Australia
- Harvard-Smithsonian Center for Astrophysics United States
Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), MAPLE, Symbolic computation and algebraic computation, Numerical quadrature and cubature formulas, symbolic computation, exponential integral, Computation of special functions and constants, construction of tables, Meijer \(G\) function, Bessel function integral, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel function, Shkarofsky functions
Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), MAPLE, Symbolic computation and algebraic computation, Numerical quadrature and cubature formulas, symbolic computation, exponential integral, Computation of special functions and constants, construction of tables, Meijer \(G\) function, Bessel function integral, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel function, Shkarofsky functions
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