Results 71 to 80 of about 543 (145)

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

Generalizations of the Bernoulli and Appell polynomials

Abstract and Applied Analysis, 2004
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti, Pierpaolo Natalini, Paolo E. Ricci   +2 more
doaj   +1 more source

A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers

Journal of Applied Mathematics, 2013
Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
doaj   +1 more source

Velocity field and cavity dynamics in drop impact experiments. [PDF]

J Fluid Mech, 2023
Lherm V, Deguen R.
europepmc   +1 more source

A Note on Symmetric Properties of the Twisted -Bernoulli Polynomials and the Twisted Generalized -Bernoulli Polynomials

Advances in Difference Equations, 2010
We define the twisted -Bernoulli polynomials and the twisted generalized -Bernoulli polynomials attached to of higher order and investigate some symmetric properties of them.
Lee B, Yi H, Kim T, Kim YH, Shivashankara K, Jang L-C   +5 more
doaj  

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

Axioms
In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj   +1 more source

Some identities of polyexponential and unipoly derangement polynomials

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we introduce the poly-derangement polynomials and unipoly-derangement polynomials, and investigate their fundamental properties. In addition, we explore the relationships between these polynomials and numbers and the Stirling numbers of ...
Jongkyum Kwon, Sangbeom Park, Sang Jo Yun, Jin-Woo Park   +3 more
doaj   +1 more source

Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]

Entropy (Basel), 2022
Vitanov NK.
europepmc   +1 more source

Asymptotics of Symmetric Polynomials: A Dynamical Point of View. [PDF]

Commun Math Phys
Guionnet A, Huang J.
europepmc   +1 more source

Generalizing Matrix Representations to Fully Heterochronous Ranked Tree Shapes. [PDF]

Bull Math Biol
Jennings-Shaffer C, Chen ZC, Palacios JA, Matsen FA.   +3 more
europepmc   +1 more source