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IDENTITIES FOR SPECIAL NUMBERS AND POLYNOMIALS INVOLVING FIBONACCI-TYPE POLYNOMIALS AND CHEBYSHEV POLYNOMIALS

Yilmaz Simsek|Neslihan Kilar
장전수학회 (Jangjeon Mathematical Society)|2020.10|Advanced Studies in Contemporary Mathematics|제30권 제4호|pp. 495-504

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참고문헌

키워드

Bernoulli numbers and polynomialsEuler numbers and polynomialsChebyshev polynomialsGenerating functionFibonacci-type polynomialsCosine-Bernoulli polynomialsCosine-Euler polynomialsSine-Bernoulli polynomialsSine-Euler poly- nomials
주제분류수학

초록

The main motivation of this paper is to give some identities and series rep- resentations for special numbers and polynomials involving the Fibonacci-type polyno- mials, the Chebyshev polynomials, the cosine-Euler polynomials, the sine-Euler poly- nomials, the cosine-Bernoulli polynomials, and the sine-Bernoulli polynomials. More- over, observations and comments on the results of this paper are given.

Abstract

The main motivation of this paper is to give some identities and series rep- resentations for special numbers and polynomials involving the Fibonacci-type polyno- mials, the Chebyshev polynomials, the cosine-Euler polynomials, the sine-Euler poly- nomials, the cosine-Bernoulli polynomials, and the sine-Bernoulli polynomials. More- over, observations and comments on the results of this paper are given.

참고문헌 (25)

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관련 논문AI추천

Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials김대산, D. V. Dolgy, S. H. Rim, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호SOME IDENTITIES FOR DEGENERATE COSINE(SINE)-EULER POLYNOMIALS정원균장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE SECOND KIND AND FIBONACCI POLYNOMIALS IN TERMS OF CHEBYSHEV POLYNOMIALS김대산, 김태균, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Some identities of the type 2 degenerate Bernoulli and Euler numbers권종겸, 김대산, 장관우, 정세교장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호

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