Results 61 to 70 of about 225 (100)

On (i,q) Bernoulli and Euler numbers

open access: yes, 2008
The p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-analogue of the p-adic log gamma function and related integrals, J. Number Theory 76 (1999) 320–329].
Simsek, Y.   +3 more
core   +1 more source

Note on -Extensions of Euler Numbers and Polynomials of Higher Order

open access: yesJournal of Inequalities and Applications, 2008
In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on .
Jang Lee-Chae   +2 more
doaj  

A note on the modified q-Dedekind sums

open access: yes, 2020
: In the present paper, the fundamental aim is to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Extended Dedekind-type sums related to q-Genocchi polynomials with weight α by using fermionic p ...
Mehmet Acikgoz   +2 more
core  

A note on amplitudes in N=6 superconformal Chern-Simons theory

open access: yes, 2012
This is the accepted version of an article subsequently published in Journal of High Energy Physics July 2012, 2012:160. The original publication is available at www.springerlink.com http://link.springer.com/article/10.1007%2FJHEP07%282012%29160This ...
Brandhuber, A, Wen, C, Travaglini, G
core   +1 more source

On the Identities of Symmetry for the -Euler Polynomials of Higher Order

open access: yesAdvances in Difference Equations, 2009
The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate -adic fermionic integral on . From these symmetries, we can derive some recurrence identities for the -Euler polynomials of higher ...
Park KyoungHo   +2 more
doaj  

Remarks on Sum of Products of -Twisted Euler Polynomials and Numbers

open access: yesJournal of Inequalities and Applications, 2008
The main purpose of this paper is to construct generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on .
Simsek Yilmaz   +2 more
doaj  

A new approach to q-genocchi numbers and their interpolation functions

open access: yes, 2009
The aim of this paper is to define generating functions of higher order q-Genocchi numbers by using a p-adic q-deformed fermionic integral on Z(p). We give Witt's type integral of these numbers.
Şimşek, Yılmaz
core   +1 more source

On the Properties of q-Bernstein-type Polynomials

open access: yes, 2017
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions depend on the several variables. We derive the recurrence formulas related to the second Stirling numbers and generalized Bernoulli polynomials.
Araci, Serkan   +5 more
core   +1 more source

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