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  • Article
  • Open Access
40 Citations
4,516 Views
11 Pages

Degenerate Stirling Polynomials of the Second Kind and Some Applications

  • Taekyun Kim,
  • Dae San Kim,
  • Han Young Kim and
  • Jongkyum Kwon

14 August 2019

Recently, the degenerate λ -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate λ -Stirling polynomials as well as the...

(This article belongs to the Special Issue The 32th Congress of The Jangjeon Mathematical Society (ICJMS2019) will be Held at Far Eastern Federal Universit, Vladivostok Russia)
  • Article
  • Open Access
6 Citations
1,857 Views
14 Pages

A Note on Degenerate Catalan-Daehee Numbers and Polynomials

  • Waseem Ahmad Khan,
  • Maryam Salem Alatawi and
  • Ugur Duran

16 October 2022

In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and numbers by the Volkenborn integrals and obtain diverse explicit expressions and formulas. Moreover, we show the expressions of the degenerate Catalan–Da...

(This article belongs to the Special Issue Symmetries of Difference Equations, Special Functions and Orthogonal Polynomials)
  • Article
  • Open Access
6 Citations
3,203 Views
14 Pages

In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind. These concepts are motivated by Kim et al.’s work on degenerate derang...

(This article belongs to the Special Issue Advanced Trends of Special Functions and Analysis of PDEs)