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Some definite integrals of the product of two Bessel functions of the second kind: (order zero)


Author: M. L. Glasser
Journal: Math. Comp. 28 (1974), 613-615
MSC: Primary 33A40
DOI: https://doi.org/10.1090/S0025-5718-1974-0344541-7
MathSciNet review: 0344541
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Abstract: A new integral representation is derived for the expression $ {J_0}(z){J_0}(Z) + {Y_0}(z) \cdot {Y_0}(Z)$ and used to evaluate a number of integrals containing $ {Y_0}(ax){Y_0}(bx)$. A supplementary table of integrals involving the function $ {K_0}(x)$ in the integrand appears in the microfiche section of this issue.


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DOI: https://doi.org/10.1090/S0025-5718-1974-0344541-7
Keywords: Bessel function, definite integrals
Article copyright: © Copyright 1974 American Mathematical Society