Results 71 to 80 of about 51,456 (294)

p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

open access: yesAdvances in Difference Equations, 2020
In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang   +3 more
doaj   +1 more source

A note on infinite series whose terms involve truncated degenerate exponentials

open access: yesApplied Mathematics in Science and Engineering, 2023
The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
doaj   +1 more source

Three Representations for Set Partitions

open access: yesIEEE Access, 2021
The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez   +4 more
doaj   +1 more source

Lagrange inversion and Stirling number convolutions [PDF]

open access: yes, 2014
Recently Agoh and Dilcher proved a convolution identity involving Stirling numbers S(n, r) of the second kind. We prove an identity where S(n, r) is replaced by a more general doubly-indexed family A(n, r).
Chapman, Robin
core  

A note on stirling numbers of the second kind

open access: yesJournal of Combinatorial Theory, 1968
AbstractFor fixed n, Stirling numbers of the second kind, S(n,r) have a single maximum.
openaire   +2 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Derivation of computational formulas for Changhee polynomials and their functional and differential equations

open access: yesJournal of Inequalities and Applications, 2020
The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
doaj   +1 more source

A Family of the r-Associated Stirling Numbers of the Second Kind and Generalized Bernoulli Polynomials

open access: yesAxioms, 2021
In this article, we derive representation formulas for a class of r-associated Stirling numbers of the second kind and examine their connections with a class of generalized Bernoulli polynomials.
Paolo Emilio Ricci   +2 more
doaj   +1 more source

p -Adic Stirling Numbers of the Second Kind

open access: yesThe Fibonacci Quarterly, 2014
13 ...
openaire   +2 more sources

Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind

open access: yes, 2013
For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirling numbers, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the classical Stirling numbers of the second kind. Thereby a supplement of the asymptotic analysis for these numbers is established.
Gawronski, Wolfgang   +2 more
openaire   +2 more sources

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