Results 11 to 20 of about 1,536,850 (314)
Some identities related to degenerate Stirling numbers of the second kind
Demonstratio Mathematica, 2022 The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj +2 more sources
A note on degenerate r-Stirling numbers
Journal of Inequalities and Applications, 2020 The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind as those of the r-Stirling numbers ...
Taekyun Kim +3 more
doaj +2 more sources
Some Identities on λ-analogues of r-Stirling Numbers of the Second Kind
European Journal of Pure and Applied Mathematics, 2022 Recently, the λ-analogues of r-Stirling numbers of the first kind were studied by Kim-Kim. The aim of this paper is to introduce the λ-analogues of r-Stirling numbers of the second kind and to investigate some properties, recurrence relations and certain
Dae San Kim, Hye Kyung Kim, Taekyun Kim
openalex +3 more sources
Generalized q-Stirling Numbers and Their Interpolation Functions [PDF]
Axioms, 2013 In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek +2 more
doaj +2 more sources
New conditions for Pascal distribution series to be in a certain class of analytic functions [PDF]
HeliyonStudies of Sălăgean differential operator Dκ in connection with Stirling numbers are relatively new. In this paper, the differential operator Dκ involving Stirling numbers is considered.
Basem Aref Frasin +1 more
doaj +2 more sources
Probabilistic degenerate Stirling numbers of the first kind and their applications [PDF]
European Journal of MathematicsLet Y be a random variable whose moment generating function exists in some neighborhood of the origin. The aim of this paper is to study the probabilistic degenerate Stirling numbers of the first kind associated with Y which are constructed from the ...
Taekyun Kim, Dae San Kim
openalex +2 more sources
Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
doaj +4 more sources
Series involving degenerate harmonic numbers and degenerate Stirling numbers
Applied Mathematics in Science and EngineeringRecently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those properties.
Lingling Luo +3 more
doaj +2 more sources
AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
doaj +2 more sources
Value Sharing and Stirling Numbers
Computational Methods and Function TheoryLet f be an entire function and L(f) a linear differential polynomial in f with constant coefficients. Suppose that f, f′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
A. Hinkkanen, I. Laine
semanticscholar +3 more sources