New analytic results for the incomplete Toronto function and incomplete Lipschitz-Hankel Integrals

Abstract

This paper provides novel analytic expressions for the incomplete Toronto function, TB(m, n, r), and the incomplete Lipschitz-Hankel Integrals of the modified Bessel function of the first kind, Ieμ, n(a, z). These expressions are expressed in closed-form and are valid for the case that m ≥ n and n being an odd multiple of 1/2, i.e. n ± 0.5 Є N Capitalizing… (More)

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