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- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.20 No.3
- 발행연도
- 2010.1
- 수록면
- 389 - 401 (13page)
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Bernoulli and Euler numbers play an important and quite mysterious role in mathematics and in various places like analysis, number theory, di erential geometry and algebraic topology. In the rst part of this paper, we present old, recent and new results of Bernoulli(resp. Euler) numbers, polynomials and functions. We also discuss the relationship which exists between Bernoulli and Euler objects. In the second part of this paper we introduce their elliptic analogues. This part is completely new. Our method and results are quite similar to the classical one except the use of elliptic functions and Jacobi forms. We introduce elliptic Bernoulli and Euler numbers and functions and we study their properties. In fact we show the Raabe formulae satis ed by these functions.
Our new results are the theorems 1.4.2, 2.3.1, 2.4.1, 2.4.2.
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