Results 11 to 20 of about 172,575 (209)
A note on pseudo Jacobi polynomials [PDF]
Ain Shams Engineering Journal, 2013 The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi ...
Mumtaz Ahmad Khan +2 more
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Jacobi-Trudy formula for generalized Schur polynomials [PDF]
, 2014 Jacobi-Trudy formula for a generalization of Schur polynomials related to any sequence of orthogonal polynomials in one variable is given.
A.N. Sergeev (7160591) +1 more
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Multiple Wilson and Jacobi–Piñeiro polynomials [PDF]
Journal of Approximation Theory, 2005 22 pages, 2 ...
Bernhard Beckermann +2 more
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Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Let $C[-1,1]$ be the space of functions continuous on the segment $[-1,1]$, $C[-1,1]^2$ be the space of functions continuous on the square $[-1,1]^2$. We denote by $P_n^\alpha(x)$ the ultraspherical Jacobi polynomials.
Guseinov, Ibraghim G. +1 more
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On the Direct Limit from Pseudo Jacobi Polynomials to Hermite Polynomials
Mathematics, 2021 In this short communication, we present a new limit relation that reduces pseudo-Jacobi polynomials directly to Hermite polynomials. The proof of this limit relation is based upon 2F1-type hypergeometric transformation formulas, which are applicable to ...
Elchin I. Jafarov +2 more
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On tau functions for orthogonal polynomials and matrix models. [PDF]
, 2011 Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Blower, Gordon
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, 2022 U ovome radu prezentirani su Jacobijevi polinomi, njihova osnovna svojstva i specijalni slučajevi kao što su Legendreovi, Čebiševljevi i Gegenbauerovi polinomi. Osim toga, pokazana je primjena Jacobijevih polinoma pri računanju momenata nekih neprekidnih
Ribičić Penava, Mihaela +1 more
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Jacobi's Generating Function for Jacobi Polynomials [PDF]
Proceedings of the American Mathematical Society, 1978 An idea of Hermite is used to give a simple proof of Jacobi’s generating function for Jacobi polynomials.
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Jacobi Polynomials on the Bernstein Ellipse [PDF]
Journal of Scientific Computing, 2017 In this paper, we are concerned with Jacobi polynomials $P_n^{(α,β)}(x)$ on the Bernstein ellipse with motivation mainly coming from recent studies of convergence rate of spectral interpolation. An explicit representation of $P_n^{(α,β)}(x)$ is derived in the variable of parametrization. This formula further allows us to show that the maximum value of $
Haiyong Wang, Lun Zhang
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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