On Especial Cases of Boas-Buck-Type Polynomial Sequences

DOI10.1007/978-1-4939-0258-3_26zbMath1330.44001OpenAlexW2101907713MaRDI QIDQ3193165

Ana F. Loureiro, Semyon B. Yakubovich

Publication date: 15 October 2015

Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_26

zbMATH Keywords

hypergeometric functionKontorovich-Lebedev transformMeijer G-functiongeneralized Appell polynomialsBoas-Buck-type polynomial

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65)

Related Items (2)

A note on Appell sequences, Mellin transforms and Fourier series ⋮ On a class of polynomial sets generated by F(xt−R(t))

Cites Work

• On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem
• Connection coefficients between Boas--Buck polynomial sets
• The special functions and their approximations. Vol. I, II
• The Kontorovich-Lebedev Transform as a Map betweend-Orthogonal Polynomials
• Polynomials Defined by Generating Relations
• Central factorials under the Kontorovich–Lebedev transform of polynomials
• Generating Functions of Jacobi and Related Polynomials
• AN EXTENSION OF HYPERGEOMETRIC FUNCTIONS (I)
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