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REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE SECOND KIND AND FIBONACCI POLYNOMIALS IN TERMS OF CHEBYSHEV POLYNOMIALS

김태균|Dmitry V. Dolgy|김대산
장전수학회 (Jangjeon Mathematical Society)|2018.07|Advanced Studies in Contemporary Mathematics|제28권 제3호|pp. 321-336|DOI http://dx.doi.org/10.17777/ascm2017.28.3.321

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키워드

Chebyshev polynomialssums of finite productsChebyshev polynomials of the second kindFibonacci polynomials
주제분류수학

초록

In this paper, we will consider sums of finite products of Cheby- shev polynomials of the second kind and Fibonacci polynomials. Then we represent each of those sums of nite products in terms of the four kinds of Chebyshev polynomials which involve the Gauss hypergeometric function 2F1 .

Abstract

In this paper, we will consider sums of finite products of Cheby- shev polynomials of the second kind and Fibonacci polynomials. Then we represent each of those sums of nite products in terms of the four kinds of Chebyshev polynomials which involve the Gauss hypergeometric function 2F1 .

참고문헌 (15)

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관련 논문AI추천

SUMS OF FINITE PRODUCTS OF LEGENDRE AND LAGUERRE POLYNOMIALS BY CHEBYSHEV POLYNOMIALS권종겸, 김대산, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호IDENTITIES FOR SPECIAL NUMBERS AND POLYNOMIALS INVOLVING FIBONACCI-TYPE POLYNOMIALS AND CHEBYSHEV POLYNOMIALSNeslihan Kilar, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호NEW CONNECTION FORMULAE BETWEEN CHEBYSHEV AND LUCAS POLYNOMIALS: NEW EXPRESSIONS INVOLVING LUCAS NUMBERS VIA HYPERGEOMETRIC FUNCTIONSW.M. ABD- ELHAMEED, Y.H. YOUSSRI장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호A note on sums of finite products of Lucas-balancing polynomials권종겸, 김대산, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호A DIFFERENCE OF SUMS OF FINITE PRODUCTS OF LUCAS-BALANCING POLYNOMIALS권종겸, 김대산, 김태균, 유천성장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호New connection formulae between ultraspherical polynomials and Chebyshev polynomials of third and fourth kindsE. H. Doha장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호

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