Poly-falling factorial sequences and poly-rising factorial sequences

DOI10.1515/math-2021-0128zbMath1492.11055OpenAlexW4210897036MaRDI QIDQ2135010

Hye Kyung Kim

Publication date: 4 May 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0128

zbMATH Keywords

poly-Bernoulli polynomialsStirling numbers of the first and second kindpoly-Genocchi polynomialsfalling factorialsmodified polyexponential functionsrising factorials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Cites Work

• Unnamed Item
• Unnamed Item
• Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials
• Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
• A note on degenerate Genocchi and poly-Genocchi numbers and polynomials
• Representations of degenerate poly-Bernoulli polynomials
• Some results on degenerate Daehee and Bernoulli numbers and polynomials
• Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications
• Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
• Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
• Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
• Some properties of degenerate complete and partial Bell polynomials
• Some new formulas of complete and incomplete degenerate Bell polynomials
• Degenerate poly-Bell polynomials and numbers
• Multi-Lah numbers and multi-Stirling numbers of the first kind
• A note on a new type of degenerate Bernoulli numbers
• A note on central Bell numbers and polynomials
• Degenerate polyexponential functions and degenerate Bell polynomials
• Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach
• A note on polyexponential and unipoly functions
• POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
• A note on degenerate stirling polynomials of the second kind
• On The Hermite Based-Second Kind Genocchi Polynomials
• Lah-Bell numbers and polynomials
• On fully degenerate Bell numbers and polynomials

This page was built for publication: Poly-falling factorial sequences and poly-rising factorial sequences