Special polynomials and elliptic integrals
The authors show that the use of generalized multivariable forms of Hermite polynomials provide a useful tool for the evaluation of families of integrals often encountered in electrostatics and electrodynamics. The definite integral in (1) can be rewritten as \[ F=\frac{1}{\sqrt{a}}\int_1^{\infty}\frac{dt} {t^{\nu}\sqrt{t-1}}, \] which is not an elliptic integral. The formula in (2) does not use the conventional notation for Laplace transforms. Formula (2) is also false, since it is only valid for integers \(\nu\).
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