Some Identities on the -Genocchi Polynomials of Higher-Order and -Stirling Numbers by the Fermionic -Adic Integral on
Open Access
- 29 December 2010
- journal article
- research article
- Published by Hindawi Limited in International Journal of Mathematics and Mathematical Sciences
- Vol. 2010, 1-14
- https://doi.org/10.1155/2010/860280
Abstract
A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling numbers.Keywords
This publication has 14 references indexed in Scilit:
- Some results for the q-Bernoulli and q-Euler polynomialsJournal of Mathematical Analysis and Applications, 2010
- A Note on the Modified q‐Bernstein PolynomialsDiscrete Dynamics in Nature and Society, 2010
- Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤ pRussian Journal of Mathematical Physics, 2009
- A new approach to q-Genocchi numbers and their interpolation functionsNonlinear Analysis, 2009
- Note on the Euler q-zeta functionsJournal of Number Theory, 2008
- Euler Numbers and Polynomials Associated with Zeta FunctionsAbstract and Applied Analysis, 2008
- Some q-extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials of order n, and the multiple Hurwitz zeta functionApplied Mathematics and Computation, 2007
- q-Euler numbers and polynomials associated with p-adic q-integralsJournal of Non-linear Mathematical Physics, 2007
- Stirling's Series and Bernoulli NumbersThe American Mathematical Monthly, 1991
- ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVESMemoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1985