Closed form expressions for Appell polynomials

Adell, J.A. (Universidad de Zaragoza) ; Lekuona, A. (Universidad de Zaragoza)

Resumen: We show that any Appell sequence can be written in closed form as a forward difference transformation of the identity. Such transformations are actually multipliers in the abelian group of the Appell polynomials endowed with the operation of binomial convolution. As a consequence, we obtain explicit expressions for higher order convolution identities referring to various kinds of Appell polynomials in terms of the Stirling numbers. Applications of the preceding results to generalized Bernoulli and Apostol–Euler polynomials of real order are discussed in detail.

Idioma: Inglés

DOI: 10.1007/s11139-018-0026-7

Año: 2018

Publicado en: RAMANUJAN JOURNAL 49 (2018), 567–583
ISSN: 1382-4090

Factor impacto JCR: 1.01 (2018)

Categ. JCR: MATHEMATICS rank: 89 / 313 = 0.284 (2018) - Q2 - T1

Factor impacto SCIMAGO: 0.977 - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)