Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
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KünyeAraci, S. (2014). Novel identities involving genocchi numbers and polynomials arising from applications of umbral calculus. Applied Mathematics and Computation, 233, 599-607. doi:10.1016/j.amc.2014.01.013
The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral onZp. From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic study of the class of Sheffer sequences on the generating function of Genocchi polynomials are given.