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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 473 - 486 (14page)
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We establish some new combinatorial identities involving Euler polynomials and balancing (Lucas-balancing) polynomials. The derivations use elementary techniques and are based on functional equations for the respective generating functions. From these polynomial relations, we deduce interesting identities with Fibonacci and Lucas numbers, and Euler numbers. The results must be regarded as companion results to some Fibonacci-Bernoulli identities, which we derived in our previous paper
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참고문헌 (21)
참고문헌 신청
P. F. Byrd / 1975 / Relations between Euler and Lucas numbers / Fibonacci Quart 13:111~114
D. Castellanos / 1989 / A generalization of Binet’s formula and some of its consequences / Fibonacci Quart 27(5):424~438
K. Dilcher / 2010 / NIST Handbook of Mathematical Functions / Cambridge University Press
R. Frontczak / 2019 / On balancing polynomials / Appl. Math. Sci 13:57~66
R. Frontczak / 2019 / Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials / J. Integer Seq 22
D. Castellanos / 1989 / A generalization of Binet’s formula and some of its consequences / Fibonacci Quart 27(5):424~438
K. Dilcher / 2010 / NIST Handbook of Mathematical Functions / Cambridge University Press
R. Frontczak / 2019 / On balancing polynomials / Appl. Math. Sci 13:57~66
R. Frontczak / 2019 / Relating Fibonacci numbers to Bernoulli numbers via balancing polynomials / J. Integer Seq 22
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