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STUDY ON SOME IDENTITIES ARISING FROM HIGHER ORDER CHANGHEE POLYNOMIALS BASES

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장전수학회 (Jangjeon Mathematical Society)|2022.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제2호|pp. 145-158|DOI 10.17777/pjms.2022.25.2.003

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참고문헌

키워드

p-adic fermionic integral on Zpumbral calculus
주제분류수학

초록

In this paper, we study explicit formulas for expressing any polynomials as linear combinations of the higher order Changhee poly- nomials bases of the first and second kind. We use umbral calculus to get them and find interesting identities by applying these formulas to certain special polynomials. In addition, we show that the higher-order Euler polynomials and the higher-order Bernoulli polynomials are expressed as linear combinations of the higher-order Changhee polynomials, of both kinds.

Abstract

In this paper, we study explicit formulas for expressing any polynomials as linear combinations of the higher order Changhee poly- nomials bases of the first and second kind. We use umbral calculus to get them and find interesting identities by applying these formulas to certain special polynomials. In addition, we show that the higher-order Euler polynomials and the higher-order Bernoulli polynomials are expressed as linear combinations of the higher-order Changhee polynomials, of both kinds.

참고문헌 (22)

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관련 논문AI추천

Higher-order Daehee polynomials of the first kind with umbral calculus김대산, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호THE n-TH TWISTED CHANGHEE POLYNOMIALS AND NUMBERS권종겸, 박진우, 임석훈, 표성수대한수학회 · 대한수학회보2015 · 제52권 제3호THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASISErdogan Sen장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호A note on the (h,q)-Changhee numbers and polynomials박진우, 황석윤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호IDENTITIES INVOLVING TOUCHARD POLYNOMIALS DERIVED FROM UMBRAL CALCULUSO. Herscovici, T. Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호Some identities of Bernoulli and Euler polynomials arising form umbral calculus김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호

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