Eigenfunctions of Laguerre-type operators and generalized evolution problems

DOI10.1016/J.MCM.2005.01.034zbMath1097.34551OpenAlexW2079675402MaRDI QIDQ815493

Matthew X. He, Giuseppe Dattoli, Paolo Emilio Ricci

Publication date: 16 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.01.034

zbMATH Keywords

eigenfunctionsLaguerre derivativeLaguerre-type evolution problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05)

Related Items (18)

Bell polynomials and generalized Laplace transforms ⋮ An introduction to operational techniques and special polynomials ⋮ Generalized higher order Stirling numbers ⋮ A Newton interpolation approach to generalized Stirling numbers ⋮ Functions induced by iterated deformed Laguerre derivative: analytical and operational approach ⋮ Explicit formulas and combinatorial identities for generalized Stirling numbers ⋮ Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods ⋮ Analytic solutions of fractional differential equations by operational methods ⋮ Modelling population growth via Laguerre-type exponentials ⋮ Laguerre derivative and monogenic Laguerre polynomials: an operational approach ⋮ Some applications of Wright functions in fractional differential equations ⋮ Operator ordering and solution of pseudo-evolutionary equations ⋮ On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function ⋮ EXACT RESULTS ON SOME NONLINEAR LAGUERRE-TYPE DIFFUSION EQUATIONS ⋮ On some operators involving Hadamard derivatives ⋮ Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients ⋮ On certain operator method for solving differential equations ⋮ On a generalized function-to-sequence transform

Cites Work

• Laguerrian eigenvalue problems and Wright functions
• Operational formulas connected with two generalizations of Hermite polynomials
• Comments on the theory of Bessel functions with more than one index.
• Laguerre-type exponentials and generalized Appell polynomials
• Laguerre-type bessel functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eigenfunctions of Laguerre-type operators and generalized evolution problems