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Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation

임석훈|정주희|박진우|김태균
경북대학교 자연과학대학 수학과|2013.12|Kyungpook Mathematical Journal|제53권 제4호|pp. 553-563|DOI http://dx.doi.org/10.5666/KMJ.2013.53.4.553

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참고문헌

키워드

Euler polynomialsdifferential equation
주제분류수학

초록

We derive a family of non-linear differential equations from the generating functions of the Euler polynomials and study the solutions of these differential equations. Then we give some new and interesting identities and formulas for the Euler polynomials of higher order by using our non-linear differential equations.

Abstract

We derive a family of non-linear differential equations from the generating functions of the Euler polynomials and study the solutions of these differential equations. Then we give some new and interesting identities and formulas for the Euler polynomials of higher order by using our non-linear differential equations.

참고문헌 (17)

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관련 논문AI추천

SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION김대산, 김태균대한수학회 · 대한수학회보2015 · 제52권 제6호Some identities of the type 2 degenerate Bernoulli and Euler numbers권종겸, 김대산, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호Revisit nonlinear differential equations associated with Eulerian polynomials김대산, 김태균대한수학회 · 대한수학회보2017 · 제54권 제4호DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS권혁인, 김대산, 김태균, 서종진, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호A note on the Bernoulli polynomials arising from a non-linear differential equation강동진, 유천성, 이선정, 임석훈, 정주희장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호

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