Connections between Romanovski and other polynomials

DOI10.2478/s11533-007-0014-4zbMath1155.33008arXiv0706.3153OpenAlexW2042071920WikidataQ60306347 ScholiaQ60306347MaRDI QIDQ2464680

Hans J. Weber

Publication date: 17 December 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3153

zbMATH Keywords

orthogonal polynomialsgenerating functionRodrigues formularecursion relationsaddition theoremsRomanovski polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (7)

High-order approximation of Pearson diffusion processes ⋮ Spectral properties related to generalized complementary Romanovski-Routh polynomials ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Orthogonal polynomials and Möbius transformations ⋮ Statistical Inference for Student Diffusion Process ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions ⋮ Retracted: SCRIM drive system using adaptive backstepping control and mended recurrent Romanovski polynomials neural network with reformed particle swarm optimization

Cites Work

• Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula
• The trigonometric Rosen–Morse potential in the supersymmetric quantum mechanics and its exact solutions
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