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Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus

Number Theory 2013-09-23 v2

Abstract

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 weighted Euler polynomials are given in the present paper.

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Cite

@article{arxiv.1211.6978,
  title  = {Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus},
  author = {Serkan Araci and Mehmet Acikgoz and Erdoğan Şen},
  journal= {arXiv preprint arXiv:1211.6978},
  year   = {2013}
}

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13 pages