Non-Existence of Complex and Purely Imaginary Zeros of a Transcendental Equation Involving Bessel Functions

  • C.G. Kokologiannaki

    University of Patras, Greece
  • P.D. Siafarikas

    University of Patras, Greece

Abstract

Some results concerning the non-existence of complex and purely imaginary zeros of the transcendental equation F(z)Jv(z)+G(z)Jv(z)=0F(z)J_v(z)+G(z)J'_v(z) = 0 are given, where Jv(z)J_v(z) is the Bessel function of first kind and order vv (in general complex), Jv(z)J'_v(z) is the derivative of Jv(z)J_v(z), and F(z)F(z), G(z)G(z) are analytic functions. The obtained results improve and generalize previously known ones.

Cite this article

C.G. Kokologiannaki, P.D. Siafarikas, Non-Existence of Complex and Purely Imaginary Zeros of a Transcendental Equation Involving Bessel Functions. Z. Anal. Anwend. 10 (1991), no. 4, pp. 563–567

DOI 10.4171/ZAA/477