Results 141 to 150 of about 726,471 (254)

A New Approach to -Bernoulli Numbers and -Bernoulli Polynomials Related to -Bernstein Polynomials

open access: yesAdvances in Difference Equations, 2010
We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet   +2 more
doaj  

General congruences for Bernoulli polynomials

open access: yesDiscrete Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials

open access: yesIntegers, 2017
See the abstract in the attached pdf.
Tian-Xiao He, Jinze Zheng
openaire   +3 more sources

Bernoulli and euler polynomials [PDF]

open access: yes, 2013
Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2013. Supervisor: Assoc. Prof. Dr. Sonuç Zorlu Oğurlu.ABSTRACT: This thesis provides an overview of Bernoulli and Euler
Çatma, Güneş
core  

A new family of q-Bernstein polynomials: probabilistic viewpoint

open access: yesArab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc   +2 more
doaj   +1 more source

On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶

open access: yesAbstract and Applied Analysis, 2011
We present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼.
T. Kim, J. Choi
doaj   +1 more source

An Identity for Generalized Bernoulli Polynomials [PDF]

open access: yes, 2020
Recognizing the great importance of Bernoulli numbers and Bernoulli polynomials in various branches of mathematics, the present paper develops two results dealing with these objects.
Mehbali, M.
core  

A note on q-Bernoulli numbers and polynomials

open access: yes, 2005
Recently, B. A. Kupershmidt have constructed a reflection symmetries of q-Bernoulli polynomials (see [9]). In this paper we give another construction of a q-Bernoulli polynomials, which form Barnes ’ multiple Bernoulli polynomials at q = 1, cf.
Taekyun Kim
core  

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

open access: yesAdvances 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   +5 more
doaj  

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

open access: yesMathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci   +2 more
doaj   +1 more source

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