Further monotonicity and convexity properties of the zeros of cylinder functions

A New Identity for the Infinite Product of Zeros of Bessel Functions of the First Kind or Their Derivatives

“…While these works contain much information about the integrals or series of Bessel functions themselves the amount of material relating to the zeros of the Bessel functions and their properties is much more limited. Recent work, for example, [5][6][7][8][9][10][11][12][13][14][15], demonstrates the continuing interest in locating the zeros of Bessel functions, their derivatives, and of related functions such as αJ ν x + xJ ν x . Lin and Agrawal [16] also proposed a new identity for an infinite sum involving the zeros of Bessel functions which generalizes a result by Rayleigh detailed in [1].…”