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ASYMPTOTIC ESTIMATES FOR APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS.
- Source :
-
Mathematics of Computation . Dec2011, Vol. 81 Issue 279, p1707-1722. 16p. - Publication Year :
- 2011
-
Abstract
- We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(χ; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane. This is used to determine explicit estimates on the constants in the approximation, and also to analyze oscillatory phenomena which arise in certain cases. These results are transferred to the Apostol-Euler polynomials En(χ; λ) via a simple relation linking them to the Apostol-Bernoulli polynomials. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255718
- Volume :
- 81
- Issue :
- 279
- Database :
- Academic Search Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Academic Journal
- Accession number :
- 74209240