Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of speci...

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Detalles Bibliográficos
Autores principales: Simsek, Yilmaz, Kim, Daeyeoul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105184/
https://www.ncbi.nlm.nih.gov/pubmed/30839560
http://dx.doi.org/10.1186/s13660-018-1815-7
Descripción
Sumario:The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and polynomials and Bernoulli numbers and polynomials are given. Finally, recurrence relations and derivative formulas, which are related to these numbers and polynomials, are given.

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