Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series
type: Item
instance of: scholarly article
title: Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series
zbMATH Open document ID: 1499.05050
author: Yilmaz Simsek
author: Ji Suk So
published in: Journal of Inequalities and Applications
publication date: 2022-01-19T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 26D05
zbMATH DE Number: 7459090
zbMATH Keywords: generating function
zbMATH Keywords: functional equation
zbMATH Keywords: binomial coefficient
zbMATH Keywords: Euler numbers and polynomials
zbMATH Keywords: Stirling numbers
zbMATH Keywords: Peters polynomials
zbMATH Keywords: Boole polynomials
zbMATH Keywords: Changhee numbers
zbMATH Keywords: special numbers and polynomials
zbMATH Keywords: Bonferroni inequalities
MaRDI profile type: Publication
full work available at URL: s13660-019-2006-x
OpenAlex ID: W2938403394
cites work: On the Lerch zeta function
cites work: Q5725805
cites work: Q5800952
cites work: Q5740316
cites work: Barnes-type Peters polynomial with umbral calculus viewpoint
cites work: Application of a composition of generating functions for obtaining explicit formulas of polynomials
cites work: On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers
cites work: Applications of an explicit formula for the generalized Euler numbers
cites work: Q3320678
cites work: Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
cites work: Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications
cites work: Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
cites work: On Boole-type combinatorial numbers and polynomials
cites work: Q3021451
cites work: Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
cites work: Sum of the reciprocals of the binomial coefficients
cites work: Stirling numbers of the second kind and Bonferroni's inequalities
Wikidata QID: Q128273598
DOI: 10.1186/S13660-019-2006-X
description: scientific article; zbMATH DE number 7459090