Results 1 to 10 of about 293,918 (162)
Symmetry, 2023 Bernoulli and Euler numbers and polynomials are well known and find applications in various areas of mathematics, such as number theory, combinatorial mathematics, series expansions, and the theory of special functions. Using fractional exponential functions, we extend the classical Bernoulli and Euler numbers and polynomials to introduce their ...
Diego Caratelli +2 more
openaire +4 more sources
Dirichlet polynomials: some old and recent results, and their interplay in number theory [PDF]
, 2009 In the first part of this expository paper, we present and discuss the interplay of Dirichlet polynomials in some classical problems of number theory, notably the Lindel f Hypothesis. We review some typical properties of their means and continue with some investigations concerning their supremum properties.
Weber, Michel
openaire +5 more sources
Approximating the Moments of Generalized Gaussian Distributions via Bell’s Polynomials
Axioms, 2023 Bell’s polynomials are used in many different fields of mathematics, ranging from number theory to operator theory. This paper shows a relevant application in probability theory aimed at computing the moments of generalized Gaussian distributions.
Diego Caratelli +2 more
doaj +1 more source
Проблемы анализа, 2023 The starting point in the theory of differential inequalities for polynomials is the book "Investigation of aqueous solutions by specific gravity" by D. I. Mendeleev. In this work, he dealt not only with chemical, but also mathematical problems.
E. G. Kompaneets, L. G. Zybina
doaj +1 more source
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Applied Mathematics in Science and Engineering, 2023 Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Lingling Luo +3 more
doaj +1 more source
Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus
Journal of Mathematics, 2022 Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers ...
Nabiullah Khan +3 more
doaj +1 more source
Generalized Tepper’s Identity and Its Application
Mathematics, 2020 The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the ...
Dmitry Kruchinin +2 more
doaj +1 more source
Journal of Function Spaces, 2021 Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan +3 more
doaj +1 more source
Complexities of finite families of polynomials, Weyl systems, and constructions in combinatorial number theory [PDF]
Journal d'Analyse Mathématique, 2007 After introducing two notions of complexity of a system of polynomials \(p_1,\dots,p_r\in\mathbb{Z}[n]\), the authors characterize the limits of the expressions of the form \(\mu(A_0\cap T^{-p_1(n)}A_1\cap\dots\cap T^{-p_r(n)}A_r)\), where \(T\) is a skew-product transformation of a torus \(\mathbb{T}^d\) and \(A_i\subseteq\mathbb{T}^d\) are measurable
Bergelson, Vitaly +2 more
openaire +3 more sources
Nahm sums, quiver A-polynomials and topological recursion
Journal of High Energy Physics, 2020 We consider a large class of q-series that have the structure of Nahm sums, or equivalently motivic generating series for quivers. First, we initiate a systematic analysis and classification of classical and quantum A-polynomials associated to such q ...
Hélder Larraguível +3 more
doaj +1 more source