Generalized Eisenstein functions

DOI10.1016/j.jmaa.2016.07.012zbMath1381.33022OpenAlexW2505476653MaRDI QIDQ739528

Piotr Drygaś

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.012

zbMATH Keywords

Eisenstein serieselliptic functionslattice sumsdoubly periodic structureNatanzon seriessquare and hexagonal lattice

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05)

Related Items (12)

Conductivity of two‐dimensional composites with randomly distributed elliptical inclusions ⋮ Lattice sums for double periodic polyanalytic functions ⋮ Cluster method in composites and its convergence ⋮ Analysis of distributions of stadiums on the plane using \(e\)-sums ⋮ Boundary value problems and their applications to 2D composites theory ⋮ Key cell method based on the ARVE. How not to fall into the representative cell ``trap ⋮ Regularization method for stable structural features ⋮ New Approach to Mathematical Model of Elastic in Two-Dimensional Composites ⋮ Effective Properties of Fibrous Composites and Cluster Convergence ⋮ Contrast expansion method for elastic incompressible fibrous composites ⋮ An analytical formula for the effective conductivity of 2D domains with cracks of high density ⋮ Riemann boundary value problem for doubly periodic polyanalytic functions

Cites Work

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• Surveys in number theory
• Transport properties of a rectangular array of highly conducting cylinders
• Optimal Distribution of the Nonoverlapping Conducting Disks
• Green's tensors and lattice sums for electrostatics and elastodynamics
• Effective conductivity of unidirectional cylinders with interfacial resistance
• Representative cell in mechanics of composites and generalized Eisenstein–Rayleigh sums
• ANALYTICAL METHODS FOR HEAT CONDUCTION IN COMPOSITES
• Transport Properties of Double‐Periodic Arrays of Circular Cylinders
• Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell
• Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites
• Lattice Sums Then and Now

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