A simple proof of Koornwinder’s addition formula for the little 𝑞-Legendre polynomials [PDF]
Proceedings of the American Mathematical Society, 1989 Recently Koornwinder found an addition formula for the little q q -Legendre polynomials by using Masuda et al.’s result that they are related to the matrix elements of the irreducible unitary representation of the twisted SU(2) {\text {SU(2)}} quantum group.
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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations. [PDF]
Sci Adv, 2022 Chekroun MD, Koren I, Liu H, Liu H.
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The Virasoro fusion kernel and Ruijsenaars' hypergeometric function. [PDF]
Lett Math Phys, 2021 Roussillon J.
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Addition formulas for q-special functions
, 1995 A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum $SU(2)$ group theoretic interpretation. This formula contains most of the previously known addition formulas for $q$-Legendre polynomials as ...
Koelink, Erik
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Vector valued spherical functions and Macdonald-Koornwinder polynomials [PDF]
, 2003 Alexei Oblomkov, Jasper V. Stokman
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FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020). [PDF]
Fract Calc Appl Anal, 2020 Kiryakova V.
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Koornwinder polynomials and the
, 2014 Jasper V. Stokman, Bart Vlaar
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Zeros of symmetric Laurent polynomials of type (BC)n and Koornwinder–Macdonald polynomials specialized at $t^{k+1}q^{r-1}=1$ [PDF]
, 2005 Masahiro Kasatani
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Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind
, 2015 In this paper an explicit form of generalized Chebyshev Koornwinder's type polynomial of first kind in terms of the Bernstein basis of fixed degree $n$ is provided. Moreover, we investigate generalized Chebyshev Koornwinder's type polynomials of first kind and Bernstein polynomials change of bases.
AlQudah, Mohammad A., AlMheidat, Maalee
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$q$-Selberg Integrals and Koornwinder Polynomials [PDF]
, 2021 Jyoichi Kaneko
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