Robert E. Gaunt

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20122026

most citedInequalities for modified Bessel functions and their integrals

81 citations · 158 across the 66 of their papers we have counts for

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math.CA2012★ 81 cited

Inequalities for modified Bessel functions and their integrals

Robert E. Gaunt

Simple inequalities for some integrals involving the modified Bessel functions $I_{ν} (x)$ and $K_{ν} (x)$ are established. We also obtain a monotonicity result for $K_{ν} (x)$ and a new lo…

math.CA2012

Derivative formulas for Bessel, Struve and Anger-Weber functions

Robert E. Gaunt

We derive formulas for the derivatives of general order for the functions $z^{- ν} h_{ν} (z)$ and $z^{ν} h_{ν} (z)$ , where $h_{ν} (z)$ is a Bessel, Struve or Anger--Weber function.