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Apostol type Daehee numbers and polynomials

Yilmaz Simsek
장전수학회 (Jangjeon Mathematical Society)|2016.07|Advanced Studies in Contemporary Mathematics|제26권 제3호|pp. 555-566

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참고문헌

키워드

Bernoulli numbers and polynomialsArray polynomialsGenerating functionFunctional equationDaehee numbers and polynomialsApostol Bernoulli numbers and polynomials
주제분류수학

초록

The aim of this paper is to modify the generating functions for the Daehee numbers and polynomials and also for the Bernoulli numbers and polynomials of the second kind. By using these functions, we give relations between the λ-Bernoulli numbers and polynomials, Apostol type Daehee numbers and polynomials, the λ-Stirling numbers of the second kind and λ-Bernoulli numbers and polynomials of the second kind. Moreover, by using the p-adic Volkenborn integral, we derive combinatorial sums associated with the Apostol type Daehee numbers and polynomials.

Abstract

The aim of this paper is to modify the generating functions for the Daehee numbers and polynomials and also for the Bernoulli numbers and polynomials of the second kind. By using these functions, we give relations between the λ-Bernoulli numbers and polynomials, Apostol type Daehee numbers and polynomials, the λ-Stirling numbers of the second kind and λ-Bernoulli numbers and polynomials of the second kind. Moreover, by using the p-adic Volkenborn integral, we derive combinatorial sums associated with the Apostol type Daehee numbers and polynomials.

참고문헌 (33)

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관련 논문AI추천

IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALSYILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호A NOTE ON POLY-DAEHEE NUMBERS AND POLYNOMIALS권종겸, 임동규장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호On the some identities of the type 2 Daehee and Changhee polynomials arising from p-adic integrals on Z_p권종겸, 김원주, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호Remarks on q-Bernoulli numbers associated with Daehee numbersH. Ozden, I. N. Cangul, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALSNeslihan Kilar, Yilmaz Simsek대한수학회 · 대한수학회지2017 · 제54권 제5호

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