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• W2790290470 abstract "We obtain a simple two-sided inequality for the ratio $mathbf{L}_nu(x)/mathbf{L}_{nu-1}(x)$ in terms of the ratio $I_nu(x)/I_{nu-1}(x)$, where $mathbf{L}_nu(x)$ is the modified Struve function of the first kind and $I_nu(x)$ is the modified Bessel function of the first kind. This result allows one to use the extensive literature on bounds for $I_nu(x)/I_{nu-1}(x)$ to immediately deduce bounds for $mathbf{L}_nu(x)/mathbf{L}_{nu-1}(x)$. We note some consequences and obtain further bounds for $mathbf{L}_nu(x)/mathbf{L}_{nu-1}(x)$ by adapting techniques used to bound the ratio $I_nu(x)/I_{nu-1}(x)$. We apply these results to obtain new bounds for the condition numbers $xmathbf{L}_nu'(x)/mathbf{L}_nu(x)$, the ratio $mathbf{L}_nu(x)/mathbf{L}_nu(y)$ and the modified Struve function $mathbf{L}_nu(x)$ itself. Amongst other results, we obtain two-sided inequalities for $xmathbf{L}_nu'(x)/mathbf{L}_nu(x)$ and $mathbf{L}_nu(x)/mathbf{L}_nu(y)$ that are given in terms of $xI_nu'(x)/I_nu(x)$ and $I_nu(x)/I_nu(y)$, respectively, which again allows one to exploit the substantial literature on bounds for these quantities. The results obtained in this paper complement and improve existing bounds in the literature." @default.
• W2790290470 created "2018-03-29" @default.
• W2790290470 creator A5077276149 @default.
• W2790290470 date "2018-03-20" @default.
• W2790290470 modified "2023-09-27" @default.
• W2790290470 title "Bounds for modified Struve functions of the first kind and their ratios" @default.
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