On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters

In this paper we study the following hypergeometric polynomials: $$ \mathcal{P}_n(x) = \mathcal{P}_n(x;\alpha,\beta,\delta_1, \dots,\delta_\rho,\kappa_1,\dots,\kappa_\rho) = $$ $$ = {}_{\rho+2} F_{\rho+1} (-n,n+\alpha+\beta+1,\delta_1+1, \dots,\delta_\rho+1;\alpha+1,\kappa_1+\delta_1+1, \dots,\kapp...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Sergey Zagorodnyuk
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: V.N. Karazin Kharkiv National University Publishing 2023-10-01
Sarja:Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
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Linkit:https://periodicals.karazin.ua/mech_math/article/view/22175