Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers

We introduce the Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers. After showing their recursive computation, we exploit the Laguerre-type Blissard problem to derive a representaion formula of the relevant numbers in terms of Bell’s polynomials.

Authors

Publication Details

Journal
Open Journal of Mathematical Sciences
Published
2025-08-15
DOI
https://doi.org/10.30538/oms2025.0256
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers

Pierpaolo Natalini, Paolo Emilio Ricci
Open Journal of Mathematical Sciences
Advanced Mathematical Identities
article

Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers

Pierpaolo Natalini, Paolo Emilio Ricci
article en

Abstract

We introduce the Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers. After showing their recursive computation, we exploit the Laguerre-type Blissard problem to derive a representaion formula of the relevant numbers in terms of Bell’s polynomials.

Open Journal of Mathematical SciencesVol. 9
Openalex Percentile: Top 69%
Advanced Mathematical Identities
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Laguerre-type 2nd kind hypergeometric Bernoulli polynomials and numbers — Pierpaolo Natalini, Paolo Emilio Ricci · Open Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS