17.—A New Class of Bessel Function Inequality useful for investigating the Roots of a Class of Transcendental Equation involving Bessel Functions

Abstract

SynopsisThe paper derives some new Bessel function inequalities These are used to determine conditions for the absence of roots of the transcendental equation F(z)Zv(z)+Zv′(z) = 0, where Zv(z) is a Bessel function, in certain regions of the v and z-plane