Results 101 to 110 of about 27,421 (244)

An orthogonality relation for multivariable Bessel polynomials [PDF]

Integral Transforms and Special Functions, 2010
In a recent paper we introduced a multivariable generalisation of the Bessel polynomials, depending on one extra parameter, and related to the so-called hyperbolic Sutherland model with external Morse potential. In this paper we obtain a corresponding multivariable generalisation of a well-known orthogonality relation for the (one-variable) Bessel ...
openaire   +3 more sources

On constructing distribution functions: With applications to Lommel polynomials and Bessel functions [PDF]

, 1968
Daniel P. Mäki
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On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices

Bulletin of Mathematical Sciences
Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation.
Misael E. Marriaga, Guillermo Vera de Salas, Marta Latorre, Rubén Muñoz Alcázar   +3 more
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The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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A set of generating functions for Bessel polynomials [PDF]

Proceedings of the American Mathematical Society, 1953
Received by the editors June 23, 1952. 1 H. L. Krall and Orrin Frink, A new class of orthogonal polynomials; the Bessel polynomials, Trans. Amer. Math. Soc. vol. 65 (1949) pp. 100-115. 2 See J. L. Burchnall, The Bessel polynomials, Canadian Journal of Mathematics vol. 3 (1951) pp. 62-68, and E. D.
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Expansion of Spherical Bessel Functions in a Series of Chebyshev Polynomials [PDF]

, 1961
A. M. Arthurs, R. McCarroll
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On the coefficients of integrated expansions of Bessel polynomials

Journal of Computational and Applied Mathematics, 2006
AbstractA new formula expressing explicitly the integrals of Bessel polynomials of any degree and for any order in terms of the Bessel polynomials themselves is proved. Another new explicit formula relating the Bessel coefficients of an expansion for infinitely differentiable function that has been integrated an arbitrary number of times in terms of ...
Eid H. Doha, Hany Mohamed Aly Ahmed
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Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials [PDF]

, 2022
Nicholas M. Ercolani, Patrick Waters
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Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments

Advances in High Energy Physics, 2017
We find that the solution of the polar angular differential equation can be written as the universal associated Legendre polynomials. Its generating function is applied to obtain an analytical result for a class of interesting integrals involving ...
Wei Li, Chang-Yuan Chen, Shi-Hai Dong
doaj   +1 more source

Double and Square Bessel-Gaussian Beams. [PDF]

Micromachines (Basel), 2023
Abramochkin EG, Kotlyar VV, Kovalev AA.
europepmc   +1 more source