Results 91 to 100 of about 2,254 (120)

Koornwinder’s polynomials and representations of the conformal group

Journal of Mathematical Physics, 1979
The tensor product of two massive, spinless, positive-energy ray representations of the conformal group of spacetime SO0(4,2)/Z2 is reduced in a momentum basis. The basis vectors for the irreducible subspaces (the ’’Clebsch–Gordan coefficients’’) are found to be intimately connected with Koornwinder’s polynomials in two dimensions.
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Generalized Gegenbauer Koornwinder’s type polynomials change of bases

AIP Conference Proceedings, 2017
In this paper we characterize the generalized Gegenbauer polynomials using Bernstein basis, and derive the matrix of transformation of the generalized Gegenbauer polynomial basis form into the Bernstein polynomial basis and vice versa.
Maalee AlMheidat, Mohammad A. AlQudah
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Cubature formula for bivariate generalized Chebyshev Koornwinder’s type polynomials

AIP Conference Proceedings, 2018
We formulate an explicit form of degree-ordered system of bivariate generalized Chebyshev Koornwinder’s type polynomials Un,r,d(γ,Μ,Ν)(u,v,w), γ > −1 in Bezer form over a triangular domain T. These polynomials form an orthogonal system with respect to the generalized measure 2π1-x2+Μδ−1+Nδ1 where M, N ≥ 0 and δx is a singular Dirac measure.
Mohammad Al Qudah, Maalee Al Mheidat, Khaldoun Ayyal Salman   +2 more
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An algebraic approach to Macdonald–Koornwinder polynomials: Rodrigues-type formula and inner product identity

Journal of Mathematical Physics, 2001
We study Macdonald–Koornwinder polynomials in the context of double affine Hecke algebras. Nonsymmetric Macdonald–Koornwinder polynomials are constructed by use of raising operators provided by a representation theory of the double affine Hecke algebra associated with A2l(2)-type affine root system.
Akinori Nishino, Yasushi Komori
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A new property of a class of Koornwinder Laguerre polynomials

Integral Transforms and Special Functions, 2014
A new property of a class of Koornwinder's Laguerre polynomials is established. In this context, new classes of stable polynomials and polynomial pairs with real negative and interlacing roots are introduced. As a result, the distribution of zeros of a class of Mittag-Leffler functions is proved and new multiplier sequences are introduced.
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Lecture notes on Koornwinder polynomials

, 2004
Jasper V. Stokman
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Neural Network Potential Energy Surfaces for Small Molecules and Reactions

Chemical Reviews, 2021
Sergei Manzhos, Tucker Carrington
exaly  

A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

AIMS Mathematics, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali   +2 more
exaly  

Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula

Mathematical Methods in the Applied Sciences, 2021
Neslihan Kilar, Yilmaz Simsek
exaly  

A Comparative Approach for Time‐Delay Fractional Optimal Control Problems: Discrete Versus Continuous Chebyshev Polynomials

Asian Journal of Control, 2020
Fakhrodin Mohammadi, Leila Moradi
exaly