Legendre polynomials: Lie methods and monomiality

DOI10.1016/J.MCM.2007.04.020zbMath1144.33300OpenAlexW2040205928MaRDI QIDQ947861

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

Publication date: 8 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.04.020

zbMATH Keywords

Lie algebraLegendre polynomialsmonomiality principle

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

The Mittag-Leffler-Legendre polynomials and their Lie-algebraic relations ⋮ Families of Legendre-Sheffer polynomials

Cites Work

• Bilateral generating functions and operational methods
• Lie theory and special functions
• Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials
• A Note on Legendre Polynomials
• Operational methods, special polynomial and functions and solution of partial differential equations
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