Results 121 to 130 of about 26,055 (202)

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  

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  

Iterated Residues and Multiple Bernoulli Polynomials

open access: yes, 1997
We describe an effective method for calculating certain infinite sums, generalizations of the classical Bernoulli polynomials. As shown by Edward Witten in his papers on two-dimensional gauge theories, the correlation functions of two-dimensional topological Yang-Mills theory (or intersection numbers on moduli spaces of flat connections) can be given ...
openaire   +3 more sources

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

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

Multivariate Bernoulli polynomials

open access: yesMultivariate Bernoulli polynomials
We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties : difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental ...
openaire  

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