Título On Polynomials Orthogonal with Respect to an Inner Product Involving Higher-Order Differences: The Meixner Case
Autores COSTAS SANTOS, ROBERTO SANTIAGO, Soria-Lorente, Anier , Vilaire, Jean-Marie
Publicación externa Si
Medio Mathematics
Alcance Article
Naturaleza Científica
Cuartil JCR 1
Cuartil SJR 2
Impacto JCR 2.40000
Impacto SJR 0.44600
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85134617291&doi=10.3390%2fmath10111952&partnerID=40&md5=9dbe40007946f8d95aafaf2caae79a47
Fecha de publicacion 01/06/2022
ISI 000808863100001
Scopus Id 2-s2.0-85134617291
DOI 10.3390/math10111952
Abstract In this contribution we consider sequences of monic polynomials orthogonal with respect to the Sobolev-type inner product < f, g > = < u(M), fg > + lambda J(i)f (alpha) J(i)g (alpha), where u(M) is the Meixner linear operator, lambda is an element of R+, j is an element of N, alpha <= 0, and J is the forward difference operator Delta or the backward difference operator del. Moreover, we derive an explicit representation for these polynomials. The ladder operators associated with these polynomials are obtained, and the linear difference equation of the second order is also given. In addition, for these polynomials, we derive a (2j + 3)-term recurrence relation. Finally, we find the Mehler-Heine type formula for the particular case alpha = 0.
Palabras clave Meixner polynomials; Meixner-Sobolev orthogonal polynomials; discrete kernel polynomials
Miembros de la Universidad Loyola

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