Special polynomials and elliptic integrals
D. Babusci, G. Dattoli
TL;DR
This paper demonstrates how generalized multivariable Hermite polynomials can be effectively used to evaluate elliptic integrals common in electrostatics and electrodynamics.
Contribution
It introduces a novel application of multivariable Hermite polynomials for computing elliptic integrals in physics.
Findings
Enhanced methods for evaluating elliptic integrals
Simplified calculations in electrostatics and electrodynamics
Potential for broader applications in mathematical physics
Abstract
We show that the use of generalized multivariable forms of Hermite polynomials provide an useful tool for the evaluation of families of elliptic type integrals often encountered in electrostatic and electrodynamics
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Taxonomy
TopicsMathematical functions and polynomials · Electromagnetic Scattering and Analysis · Numerical methods in engineering