Asymptotics of Zeros of the Wright Function

  • Yuri Luchko

    Freie Universität Berlin, Germany

Abstract

The paper deals with the asymptotics of zeros of the Wright function

in the case the parameter is a real number. The exact formulae for the order, the type and the indicator function of the entire function are given for . On the basis of these results and using the obtained distribution of the zeros of the Wright function it is shown to be a function of completely regular growth.

Cite this article

Yuri Luchko, Asymptotics of Zeros of the Wright Function. Z. Anal. Anwend. 19 (2000), no. 2, pp. 583–595

DOI 10.4171/ZAA/970