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L. Carlitz introduced higher order degenerate Euler polynomials in \cite{A4,A5} and studied a degenerate Staudt-Clausen theorem in \cite{A4}. D. S. Kim and T. Kim gave some formulas and identities of degenerate Euler polynomials which are derived from the fermionic $p$-adic integrals on $\mathbb{Z}_p$ (\mbox{see~~\cite{A11}}). In this paper, we introduce higher order degenerate Genocchi polynomials. And we give some formulas and identities of degenerate Genocchi polynomials which are derived from the fermionic $p$-adic integrals on $\mathbb{Z}_p$.
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참고문헌 (30)
참고문헌 신청
Serkan Araci / 2012 / A unified generating function of the q-genocchi polynomials with their interpolation functions / Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 15(2):227~233
Bayad / 2010 / IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS / Advanced Studies in Contemporary Mathematics 20(2):247~253
I. N.. Cangul / 2009 / ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS / Advanced Studies in Contemporary Mathematics 19(1):39~57
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
Bayad / 2010 / IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS / Advanced Studies in Contemporary Mathematics 20(2):247~253
I. N.. Cangul / 2009 / ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS / Advanced Studies in Contemporary Mathematics 19(1):39~57
L. Carlitz / 1956 / A degenerate Staudt-Clausen theorem / Arch. Math. (Basel) 7:28~33
L. Carlitz / 1979 / Degenerate Stirling, Bernoulli and Eulerian numbers / Utilitas Math 15:51~88
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