Robert E. Gaunt

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20242026

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math.CA2026

Integrals of products of four modified Bessel functions

Robert E. Gaunt

We evaluate definite integrals involving the product of four modified Bessel functions of the first and second kind and a power function. We provide general formulas expressed in t…

math.CA2025

Inequalities for an integral involving the modified Bessel function of the first kind

Robert E. Gaunt

Simple bounds are obtained for the integral $\int_{0}^{x} e^{- I^^{3} t} t^{I^} ½ I_{I^} ½ (t) d t$ , $x > 0$ , $I^½ > - 1/2$ , $0 \leq I^^{3} < 1$ , together with a natural generalisation of this integ…