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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The authors are thankful to the anonymous referee and to the editor for their valuable suggestions for improving the presentation of the paper.
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Ghanmi, A., Hantout, Y. & Intissar, A. Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function. Ramanujan J 34, 429–442 (2014). https://doi.org/10.1007/s11139-013-9539-2
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DOI: https://doi.org/10.1007/s11139-013-9539-2