Перегляд за автором "Cohl, H.S."

Результати 1-6 з 6

Definite Integrals using Orthogonality and Integral Transforms

Cohl, H.S.; Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)

We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Cohl, H.S.; Palmer, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)

For a fundamental solution of Laplace's equation on the R-radius d-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions. We also compute the Gegenbauer polynomial ...
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems

Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)

We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series ...
On Parameter Differentiation for Integral Representations of Associated Legendre Functions

Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, ...
Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hypersphere ...
Report from the Open Problems Session at OPSFA13

Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)

These are the open problems presented at the 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA13), Gaithersburg, Maryland, on June 4, 2015.

Результати 1-6 з 6

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Перегляд за автором "Cohl, H.S."

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