Results 31 to 40 of about 225 (100)
Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials [PDF]
, 2015 In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler polynomials) which is derived
Özen Özer +3 more
core +2 more sources
Explicit Formulas Involving q‐Euler Numbers and Polynomials
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We deal with q‐Euler numbers and q‐Bernoulli numbers. We derive some interesting relations for q‐Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the q‐Euler numbers and q‐Bernoulli numbers via the p‐adic q‐integral in the p‐adic integer ring.
Serkan Araci +3 more
wiley +1 more source
On the Higher-Order q-Euler Numbers and Polynomials with Weight α
Discrete Dynamics in Nature and Society, 2011 The main purpose of this paper is to present a systemic study of some families of higher-order q-Euler numbers and polynomials with weight α. In particular, by using the fermionic p-adic q-integral on ℤp, we give a new concept of q-Euler numbers and ...
K.-W. Hwang +3 more
doaj +1 more source
Feynman path integral representations for the Fermionic Oscillator on anti-de Sitter space
, 2022 Feynman path integral representations for the Fermionic Oscillator on anti-de Sitter ...
ASMA MERAD (12991622)
core +1 more source
Integral Formulae of Bernoulli and Genocchi Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 Recently, some interesting and new identities are introduced in the work of Kim et al. (2012). From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +3 more
wiley +1 more source
A note on the p-adic gamma function and q-Changhee polynomials
, 2017 In the present work, we consider the fermionic p-adic q-integral of p-adic gamma function and the derivative of p-adic gamma function by using their Mahler expansions. The relationship between the p-adic gamma function and q-Changhee numbers is obtained.
Menken, Hamza +3 more
core +1 more source
Derivation of Identities Involving Bernoulli and Euler Numbers
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We derive some new and interesting identities involving Bernoulli and Euler numbers by using some polynomial identities and p‐adic integrals on ℤp.
Imju Lee, Dae San Kim, Cheon Ryoo
wiley +1 more source
New Construction Weighted (h,q)-Genocchi Numbers and Polynomials Related to Zeta Type Functions
Discrete Dynamics in Nature and Society, 2011 The fundamental aim of this paper is to construct (h,q)-Genocchi numbers and polynomials with weight α. We shall obtain some interesting relations by using p-adic q-integral on Zp in the sense of fermionic.
Serkan Araci, Jong Jin Seo, Dilek Erdal
doaj +1 more source
Identities Involving q‐Bernoulli and q‐Euler Numbers
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We give some identities on the q‐Bernoulli and q‐Euler numbers by using p‐adic integral equations on ℤp.
D. S. Kim +4 more
wiley +1 more source
On the Barnes′ Type Related to Multiple Genocchi Polynomials on ℤp
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 Using fermionic p‐adic invariant integral on ℤp, we construct the Barnes′ type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes′ type multiple Genocchi numbers and polynomials. Moreover, we will find the Barnes′ type multiple Genocchi zeta function.
J. Y. Kang +4 more
wiley +1 more source