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Some identities on the Bernstein and q-Genocchi polynomials

김현미
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회보 (Bulletin of the KMS)|제50권 제4호|pp. 1289-1296

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참고문헌

키워드

p-adic integralq-Genocchi numberq-Genocchi polynomialBernstein polyno- mial
주제분류수학

초록

Recently, T. Kim has introduced and analysed the q-Euler polynomials (see [3, 14, 35, 37]). By the same motivation, we will con- sider some interesting properties of the q-Genocchi polynomials. Further, we give some formulae on the Bernstein and q-Genocchi polynomials by using p-adic integral on Zp. From these relationships, we establish some interesting identities.

Abstract

Recently, T. Kim has introduced and analysed the q-Euler polynomials (see [3, 14, 35, 37]). By the same motivation, we will con- sider some interesting properties of the q-Genocchi polynomials. Further, we give some formulae on the Bernstein and q-Genocchi polynomials by using p-adic integral on Zp. From these relationships, we establish some interesting identities.

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관련 논문AI추천

A note on q-genocchi numbers and Bernstein polynomialsT. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호SOME IDENTITIES FOR q-BERNOULLI NUMBERS AND POLYNOMIALS ARISING FROM q-BERNSTEIN POLYNOMIALS권종겸, 김대산, 장관우, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호A note on p-adic integrals associated with Bernstein and q-Bernstein polynomials최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호

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