Results 11 to 20 of about 561,686 (251)
Constructing Krall-Hahn orthogonal polynomials [PDF]
Journal of Mathematical Analysis and Applications, 2014 Given a sequence of polynomials $(p_n)_n$, an algebra of operators $\mathcal A$ acting in the linear space of polynomials and an operator $D_p\in \mathcal A$ with $D_p(p_n)=\theta_np_n$, where $\theta_n$ is any arbitrary eigenvalue, we construct a new ...
Antonio J. Durán +3 more
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Doubling (Dual) Hahn Polynomials: Classification and Applications [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles.
Oste, Roy, Van der Jeugt, Joris
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Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]
Proceedings of the American Mathematical Society, 2011 We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi +2 more
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On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
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Laguerre-Freud equations for Generalized Hahn polynomials of type I [PDF]
, 2018 We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal polynomials.
Diego Dominici
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پژوهشهای ریاضی, 2020 Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi +2 more
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Indeterminate moment problem associated with continuous dual q-Hahn polynomials [PDF]
Journal of difference equations and applications (Print), 2020 We study a limiting case of the Askey–Wilson polynomials when one of the parameters goes to infinity, namely continuous dual q-Hahn polynomials when q>1.
Kerstin Jordaan, Maurice Kenfack Nangho
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A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials [PDF]
, 2009 A high order linear $q$-difference equation with polynomial coefficients having $q$-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials ...
Abramowitz M. +10 more
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The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2) [PDF]
, 2013 The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials of a discrete argument obtained from a q-> -1 limit of the dual q-Hahn ...
Alexei Zhedanov +6 more
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A unified algebraic underpinning for the Hahn polynomials and rational functions [PDF]
, 2020 Luc Vinet, Alexei Zhedanov
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