Title of article :
Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind
Author/Authors :
Mao ، Zhong-Xuan Department of Mathematics andPhysics - Hebei Key Laboratory of Physics and Energy Technology - North China Electric Power University , Tian ، Jing-Feng Department of Mathematics andPhysics - Hebei Key Laboratory of Physics and Energy Technology - North China Electric Power University
Abstract :
In this paper, we determine the monotonicity of three classes of functions involving modified Bessel functions of the second kind. We also presented some inequalities and bounds for modified Bessel functions of the second kind. In particular, our results derive bounds for the Airy function and its derivative
Keywords :
Modified Bessel functions of the second kind , Monotonicity , Monotonicity rules , Airy function ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society