A unified Riemann–Hilbert approach to the analytical determination of zeros of sectionally analytic functions
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Date
1988-01
Authors
Ioakimidis, Nikolaos
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press
Abstract
A general method for the analytical determination (through closed-form integral formulae) of the zeros of sectionally analytic functions in the cut complex plane is proposed. This method is based on the application of the theory of the Riemann–Hilbert boundary value problem for sectionally analytic functions and it is a generalization of the existing relevant methods of Burniston and Siewert and of Anastasselou. These methods result here as special cases of the proposed method. As an application a new formula is derived and numerical results are presented for the root of a classical transcendental equation appearing in the theory of ferromagnetism.