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Abstrakty
We investigate zeta regularized products of rational functions. As an application, we obtain the asymptotic expansion of the Euler Gamma function associated with a rational function.
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Rocznik
Tom
Strony
189--195
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- ICMC, Universidade de Sao Paulo Sao Carlos, Brazil, mauros@icmc.usp.br
Bibliografia
- [1] J. Brüning and R. Seeley, The resolvent expansion for second order regular singular operators, J. Funct. Anal. 73 (1988), 369-415.
- [2] E. T. Copson, Theory of Functions of a Complex Variable, Oxford Univ. Press, 1935.
- [3] A. Dąbrowski, On zeta functions associated with polynomials, Bull. Austral. Math. Soc. 61 (2000), 455-458.
- [4] M. Eie, On Dirichlet series associated with a polynomial, Proc. Amer. Math. Soc. 110 (1990), 583-590.
- [5] M. Eie and K.-W. Chen, A theorem on zeta functions associated with polynomials, Trans. Amer. Math. Soc. 351 (1999), 3217-3228.
- [6] M. Spreafico, Zeta invariants for sequences of spectral type, special functions and the Lerch formula, Proc. Roy. Soc. Edinburgh 281 (2006), 865-889.
- [7] M. Spreafico, Zeta invariants for double sequences of spectral type, arXiv:math/0607816.
- [8] E. T. Whittaker and G. N. Watson, Modern Analysis, Cambridge Univ. Press, 1963.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0058-0016