Results 101 to 110 of about 18,239 (195)

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
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A generalization of the Bernoulli polynomials

Journal of Applied Mathematics, 2003
A generalization of the Bernoulli polynomials and, consequently, of the Bernoulli numbers, is defined starting from suitable generating functions. Furthermore, the differential equations of these new classes of polynomials are derived by means of the ...
Pierpaolo Natalini, Angela Bernardini
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Velocity field and cavity dynamics in drop impact experiments. [PDF]

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

Fully degenerate poly-Bernoulli numbers and polynomials

, 2015
In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and investigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Kim, Dae San, Kim, Taekyun
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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
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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
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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

Generalizations of Poly-Bernoulli numbers and polynomials

, 2012
10 ...
Jolany, Hassan, Darafsheh, M. R., Alikelaye, R. Eizadi   +2 more
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Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
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ON RECURRENCE RELATIONS FOR BERNOULLI POLYNOMIALS AND NUMBERS

Facta Universitatis, Series: Mathematics and Informatics
In this work we connect Bernoulli numbers and polynomials to Mersenne numbers via recurrence relations. We find two explicit formulas of Bernoulli numbers by means of Mersenne numbers different from those given by F. Qi and X. Y. Chen et al. To end with other interesting relationships, which serve as bridges between the Bernoulli polynomials and ...
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