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math.CA2015★ 2 cited
Some dual definite integrals for Bessel functions
Howard S. Cohl, Sean J. Nair, Rebekah M. Palmer
Based on known definite integrals of Bessel functions of the first kind, we obtain exact solutions to unknown definite integrals using the method of integral transforms from Hankel…
math.CA2014★ 7 cited
Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl, Rebekah M. Palmer
For a fundamental solution of Laplace's equation on the -radius -dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimens…