Monomiality and partial differential equations

DOI10.1016/j.mcm.2009.06.013zbMath1185.35006OpenAlexW2000036751MaRDI QIDQ970038

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

Publication date: 8 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.06.013

zbMATH Keywords

integro-differential equationsinitial value problemspartial differential equationsSheffer polynomialsAppell polynomialsmonomiality principle

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Unnamed Item ⋮ General Sets of Bell-Sheffer and Log-Sheffer Polynomials ⋮ Bell-Sheffer exponential polynomials of the second kind ⋮ Logarithmic-Sheffer polynomials of the second kind ⋮ Differential equations for classical and non-classical polynomial sets: a survey ⋮ A new set of Sheffer-Bell polynomials and logarithmic numbers

Cites Work

• Operational methods and differential equations with applications to initial-value problems
• Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering
• Monomiality, orthogonal and pseudo-orthogonal polynomials
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