Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function |
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| Authors: | Allal Ghanmi Youssef Hantout Ahmed Intissar |
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| Institution: | 1. Department of Mathematics, Faculty of Sciences, Mohammed V-Agdal University, P.O. Box 1014, Rabat, Morocco
2. UMR-CNRS 8524, UFR Math., USTL, Cité Scientifique, 59655, Villeneuve d’Ascq Cedex, France
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| Abstract: | We provide two kinds of representations for the Taylor coefficients of the Weierstrass σ-function σ(?;Γ) associated to an arbitrary lattice Γ in the complex plane \(\mathbb{C}=\mathbb{R}^{2}\) , the first one in terms of the so-called Hermite–Gauss series over Γ and the second one in terms of Hermite–Gauss integrals over \(\mathbb{C}\) . |
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