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IDENTITIES AND RELATIONS RELATED TO COMBINATORIAL NUMBERS AND POLYNOMIALS

Yilmaz Simsek
장전수학회 (Jangjeon Mathematical Society)|2017.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제1호|pp. 127-135|DOI 10.17777/pjms.2017.20.1.014

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참고문헌

키워드

Euler numbers and polynomialsApostol- Euler numbers and polynomialsArray polynomialsStirling numbersnew families of special combinatorial numbersGenerating functionFunctional equation
주제분류수학

초록

This paper presents some new families of special numbers and polynomials including the Euler numbers and polynomials, the Stir- ling numbers of the second kind, the central factorial numbers and the array polynomials. We give some properties of these numbers and poly- nomials with their generating functions. Finally, by using these generat- ing functions with their functional equations, we derive some identities and relations realeted to these special numbers and polynomials.

Abstract

This paper presents some new families of special numbers and polynomials including the Euler numbers and polynomials, the Stir- ling numbers of the second kind, the central factorial numbers and the array polynomials. We give some properties of these numbers and poly- nomials with their generating functions. Finally, by using these generat- ing functions with their functional equations, we derive some identities and relations realeted to these special numbers and polynomials.

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관련 논문AI추천

A NOTE ON CENTRAL FACTORIAL NUMBERS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALSNeslihan Kilar, Yilmaz Simsek대한수학회 · 대한수학회지2017 · 제54권 제5호INTERPOLATION FUNCTIONS OF THE EULERIAN TYPE POLYNOMIALS AND NUMBERSYilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS김태균, D. V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Some identities on degenerate Eulerian polynomials and numbers서종진, Dae San Kim, Taekyun Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제1호

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