Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable

• Autorzy: Paweł Woźny
• Języki publikacji: EN

Abstrakty

EN

A method is given to find a recurrence relation for the coefficients of the series expansion of a function f with respect to classical orthogonal polynomials of a discrete variable, which follows from a linear difference equation satisfied by f.

Kategorie tematyczne

• 39A70: Difference operators
• 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
• 42A16: Fourier coefficients, Fourier series of functions with special properties, special Fourier series
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2003
• Tom: 30
• Numer: 1
• Strony: 89-107

Daty

wydano

2003

Twórcy

autor

Paweł Woźny

• Institute of Computer Science, University of Wrocław, Przesmyckiego 20, 51-151 Wrocław, Poland

Identyfikatory

DOI

10.4064/am30-1-6