Monomiality Principle and Eigenfunctions of Differential Operators
Author(s) -
Isabel Cação,
Paolo Emilio Ricci
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/856327
Subject(s) - mathematics , eigenfunction , bessel function , differential operator , bessel polynomials , pure mathematics , order (exchange) , set (abstract data type) , operator theory , ordinary differential equation , construct (python library) , algebra over a field , mathematical analysis , differential equation , classical orthogonal polynomials , orthogonal polynomials , wilson polynomials , eigenvalues and eigenvectors , physics , finance , quantum mechanics , computer science , economics , programming language
We apply the so-called monomiality principle in order to constructeigenfunctions for a wide set of ordinary differential operators, relevantto special functions and polynomials, including Bessel functions andgeneralized Gould-Hopper polynomials
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