Construction of partially degenerate Bell-Bernoulli polynomials of the first kind and their certain properties

DOI10.1515/anly-2021-1028zbMath1506.11036OpenAlexW4283701005MaRDI QIDQ2162435

Daud, M. Kamarujjama, Waseem A. Khan

Publication date: 5 August 2022

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2021-1028

zbMATH Keywords

generating functionsummation formulaesymmetric identitiesdegenerate Bernoulli polynomialsBell polynomials, degenerate exponential functionBell-Bernoulli polynomialspartially degenerate Bernoulli polynomials of the first kind

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Applications and properties for bivariate Bell-based Frobenius-type Eulerian polynomials

Cites Work

• Unnamed Item
• Umbral calculus associated with Bernoulli polynomials
• Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
• Some identities of Bell polynomials
• Exponential polynomials
• Analysis of Bell based Euler polynomials and their application
• Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• Some identities for umbral calculus associated with partially degenerate Bell numbers and polynomials
• Degenerate ordered Bell numbers and polynomials associated with umbral calculus

This page was built for publication: Construction of partially degenerate Bell-Bernoulli polynomials of the first kind and their certain properties