A novel theory of Legendre polynomials

DOI10.1016/J.MCM.2011.01.037zbMath1225.33009OpenAlexW2051511114MaRDI QIDQ646050

Paolo Emilio Ricci, Giuseppe Dattoli, Maria Renata Martinelli, Bruna Germano

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.037

zbMATH Keywords

integral transformsBell polynomialsLegendre polynomialsHumbert polynomialsmulti-variable Hermite polynomials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Certain properties of Gegenbauer polynomials via Lie algebra ⋮ Generalized and mixed type Gegenbauer polynomials ⋮ Sheffer and non-Sheffer polynomial families ⋮ How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation

Cites Work

• Monomiality, orthogonal and pseudo-orthogonal polynomials
• Appell polynomials and their relatives
• Generating Functions for Bessel and Related Polynomials
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