A Note on Some Identities of Frobenius-Euler Numbers and Polynomials

نویسندگان

  • Jongsoung Choi
  • Dae San Kim
  • Taekyun Kim
  • Y. H. Kim
چکیده

Let p be a fixed odd prime number. Throughout this paper, Zp, Qp, and Cp will denote the ring of p-adic rational integers, the field of p-adic rational numbers, and the completion of algebraic closure of Qp, respectively. Let N be the set of natural numbers and Z N ∪ {0}. The p-adic absolute value on Cp is normalized so that |p|p 1/p. Assume that q ∈ Cp with |1 − q|p < 1. Let f be a continuous function on Zp. Then the fermionic p-adic q-integral on Zp for f is defined by Kim as follows:

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012