Analytical results for a class of sums involving Bessel functions and square arrays

DOI10.1063/1.531492zbMath0864.33002OpenAlexW2060248549MaRDI QIDQ5284461

Nicolae-Alexandru P. Nicorovici, R. C. McPhedran, Chris Poulton

Publication date: 3 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531492

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Evaluation of phase-modulated lattice sums ⋮ Evaluation and regularization of phase-modulated Eisenstein series and application to double Schlömilch-type sums ⋮ Neumann series and lattice sums

Cites Work

• The Rayleigh multipole method for linear elasticity
• Bounds on the shear modulus of composites by interface integral methods
• The evaluation of lattice sums. III. Phase modulated sums
• A renormalization method for the evaluation of lattice sums
• The evaluation of lattice sums. I. Analytic procedures