Results 111 to 120 of about 26,237 (204)

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

General congruences for Bernoulli polynomials

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

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

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

A new construction on the q-Bernoulli polynomials

open access: yesAdvances in Difference Equations, 2011
This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised.
Bayad Abdelmejid   +4 more
doaj  

GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS

open access: yes, 2014
We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
openaire   +4 more sources

q-Bernoulli numbers and q-Bernoulli polynomials revisited

open access: yesAdvances in Difference Equations, 2011
This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
doaj  

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