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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제5호
- 발행연도
- 2017.1
- 수록면
- 587 - 597 (11page)
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In this paper we define the (p, q)-analogue of Bernoulli numbers and polynomials by generalizing the Bernoulli numbers and polynomials, Carlitz's type q-Bernoulli numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Bernoulli numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Bernoulli polynomials by using computer.
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참고문헌 (15)
참고문헌 신청
G.E. Andrews / 1999 / Special Functions, 71 / Combridge Press
R. Ayoub / 1974 / Euler and zeta function / Amer. Math. Monthly 81:1067~1086
L. Carlitz / 1948 / q-Bernoulli numbers and polynomials / Duke Math. J 15:987~1000
N. Koblitz / 1984 / p-adic Number, p-adic Analysis, and Zeta-Functions / Springer-Verlag :14
이희영 / 2014 / A NOTE ON RECURRENCE FORMULA FOR VALUES OF THE EULER ZETA FUNCTIONS E(2n) AT POSITIVE INTEGERS / 대한수학회보 51(5):1425~1432
R. Ayoub / 1974 / Euler and zeta function / Amer. Math. Monthly 81:1067~1086
L. Carlitz / 1948 / q-Bernoulli numbers and polynomials / Duke Math. J 15:987~1000
N. Koblitz / 1984 / p-adic Number, p-adic Analysis, and Zeta-Functions / Springer-Verlag :14
이희영 / 2014 / A NOTE ON RECURRENCE FORMULA FOR VALUES OF THE EULER ZETA FUNCTIONS E(2n) AT POSITIVE INTEGERS / 대한수학회보 51(5):1425~1432
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