Browsing by Author "Yang Z-H."

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Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications

Yang Z-H.; Zheng, S. (2017-07-18)

Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ...
Sharp bounds for the ratio of modified Bessel functions

Zheng, S.; Yang Z-H. (2017-06-21)

Let $I_{\nu }\left( x\right) $ be the modified Bessel functions of the first kind of order $\nu $, and $S_{p,\nu }\left( x\right) =W_{\nu }\left( x\right) ^{2}-2pW_{\nu }\left( x\right) -x^{2}$ with $W_{\nu }\left( x\right) ...