Results 91 to 100 of about 1,211 (149)

A Note on (h,q)-Genocchi Polynomials and Numbers of Higher Order

open access: yesAdvances in Difference Equations, 2010
We investigate several arithmetic properties of (h,q)-Genocchi polynomials and numbers of higher order.
Young-Hee Kim   +2 more
doaj   +1 more source

Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

open access: yes, 2015
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet   +3 more
core  

GENERALIZED DEGENERATE CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS

open access: yesSouth East Asian J. of Mathematics and Mathematical Sciences
The degenerate Changhee-Genocchi numbers (and also Changhee - Genocchi), which appear in analysis and combinatorial mathematics and play a significant role in the applications and theory of mathematics, are associated with the Daehee, Cauchy, and Stirling numbers with several extensions and have proven to be powerful tools in varied subjects in ...
MD Jawed Miandad   +2 more
openaire   +1 more source

Some Identities on the Twisted (ℎ,𝑞)-Genocchi Numbers and Polynomials Associated with 𝑞-Bernstein Polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We give some interesting identities on the twisted (ℎ,𝑞)-Genocchi numbers and polynomials associated with 𝑞-Bernstein polynomials.
Seog-Hoon Rim, Sun-Jung Lee
doaj   +1 more source

Neuronal and Astrocytic Regulations in Schizophrenia: A Computational Modelling Study. [PDF]

open access: yesFront Cell Neurosci, 2021
Fritschi L   +3 more
europepmc   +1 more source

Compromised Astrocyte Swelling/Volume Regulation in the Hippocampus of the Triple Transgenic Mouse Model of Alzheimer's Disease. [PDF]

open access: yesFront Aging Neurosci, 2021
Tureckova J   +13 more
europepmc   +1 more source

On the q-extension of Euler and Genocchi numbers

open access: yesJournal of Mathematical Analysis and Applications, 2007
The author considers a new \(q\)-extension of ordinary Euler numbers and polynomials, and also a new \(q\)-extension of Genocchi numbers and polynomials. They are defined by using the generating functions as follows: \[ \begin{aligned} \sum^\infty_{n=0} E_{n,q}{t^n\over n!} &= [2]_q e^{{t\over 1-q}} \sum^\infty_{j=0} {(-1)^j\over 1+ q^{j+1}}\Biggl({1 ...
openaire   +1 more source

A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers

open access: yesJournal 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
doaj   +1 more source

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