Results 71 to 80 of about 51,456 (294)
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
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
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]
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
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
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
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
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
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p -Adic Stirling Numbers of the Second Kind
13 ...
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Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind
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
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