Results 41 to 50 of about 799 (105)
Novel Identities for q‐Genocchi Numbers and Polynomials
Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012 The essential aim of this paper is to introduce novel identities for q‐Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related to p‐adic analogue of Bernstein polynomials. Also, we derive relations between q‐Genocchi and q‐Bernoulli numbers.
Serkan Araci, Gestur Ólafsson
wiley +1 more source
A Note on Eulerian Polynomials
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Eulerian polynomials in connection with Genocchi and tangent numbers.
D. S. Kim +4 more
wiley +1 more source
Integral Formulae of Bernoulli Polynomials
Discrete Dynamics in Nature and Society, Volume 2012, Issue 1, 2012., 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +5 more
wiley +1 more source
On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions
, 2006 One purpose of this paper is to construct twisted q-Euler numbers by using p-adic invariant integral on Zp in the sense of fermionic. Finally, we consider twisted Euler q-zeta function and q-l-series which interpolate twisted q-Euler numbers and ...
Carlitz +21 more
core +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
Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus
, 2012 The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Zp. From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the ...
Araci, Serkan +2 more
openaire +2 more sources
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
On The Properties Of $q$-Bernstein-Type Polynomials
, 2014 The aim of this paper is to give a new approach to modified $q$-Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and ...
Acikgoz, Mehmet +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