Results 41 to 50 of about 502,780 (135)

Some identities related to degenerate Stirling numbers of the second kind

open access: yesDemonstratio 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   +1 more source

The dynamics of vortices on S^2 near the Bradlow limit [PDF]

open access: yes, 2002
The explicit solutions of the Bogomolny equations for N vortices on a sphere of radius R^2 > N are not known. In particular, this has prevented the use of the geodesic approximation to describe the low energy vortex dynamics.
Arthur K.   +7 more
core   +2 more sources

Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems [PDF]

open access: yes, 2009
We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-uniform) upper bound, polynomially growing on the frontier of the class of ...
Binyamini, Gal, Yakovenko, Sergei
core   +2 more sources

Degenerate Derangement Polynomials and Numbers

open access: yesFractal and Fractional, 2021
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.
Minyoung Ma, Dongkyu Lim
doaj   +1 more source

Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I [PDF]

open access: yes, 2010
In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to
Dil, Ayhan, Kurt, Veli
core   +2 more sources

Some results on degenerate Fubini and degenerate Bell polynomials

open access: yesApplicable Analysis and Discrete Mathematics, 2023
The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at ...
Kim, Taekyun, Kim, Dae San
openaire   +3 more sources

The massless higher-loop two-point function

open access: yes, 2008
We introduce a new method for computing massless Feynman integrals analytically in parametric form. An analysis of the method yields a criterion for a primitive Feynman graph $G$ to evaluate to multiple zeta values.
C. Itzykson   +11 more
core   +2 more sources

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

open access: yesMathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani   +5 more
doaj   +1 more source

Symplectic potentials and resolved Ricci-flat ACG metrics

open access: yes, 2007
We pursue the symplectic description of toric Kahler manifolds. There exists a general local classification of metrics on toric Kahler manifolds equipped with Hamiltonian two-forms due to Apostolov, Calderbank and Gauduchon(ACG). We derive the symplectic
Abreu M   +21 more
core   +1 more source

On Degenerate Truncated Special Polynomials

open access: yesMathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

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