Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus
Araci, Serkan and Acikgoz, Mehmet and Kilicman, Adem (2013) Extended p-adic q-invariant integrals on ℤp associated with applications of umbral calculus. Advances in Difference Equations, 2013 . art. no. 96. pp. 1-14. ISSN 1687-1839; ESSN: 1687-1847
The fundamental aim of this paper is to consider some applications of umbral calculus by utilizing from the extended p-adic q-invariant integral on ℤp. From those considerations, we derive some new interesting properties on the extended p-adic q-Bernoulli numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of the p-adic q-Bernoulli polynomials are given in the present work.
Repository Staff Only: Edit item detail