Results 151 to 160 of about 726,471 (254)

Unified Apostol–Bernoulli, Euler and Genocchi polynomials

open access: yes, 2011
In this paper, we present a unified family of polynomials including not only the Apostol–Bernoulli, Euler and Genocchi polynomials, but also a general family of polynomials suggested by Özden et al. [H. Ozden, Y. Simsek, H.M.
M. Ali Özarslan, Ozarslan, M. Ali
core   +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  

Bernoulli polynomials of the first kind

open access: yes, 1958
Thesis (M.A.)-- University of Wichita, College of Liberal Arts and Sciences, Dept. of MathematicsProperties of the Bernoulli polynomials -- Bernulli Series -- Laplace transformations of the Bernoulli polynomials -- Bernoulli integral transformations ...
Bargen, Ralph K.
core   +1 more source

Bernoulli polynomials for a new subclass of Te-univalent functions. [PDF]

open access: yesHeliyon
Saravanan G   +6 more
europepmc   +1 more source

On the Euler and Bernoulli polynomials.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1969
openaire   +2 more sources

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