A unified Riemann-Hilbert approach to the analytical determination of zeros of sectionally analytic functions

DOI10.1016/0022-247X(88)90238-7zbMath0639.30005MaRDI QIDQ1100303

Nikolaos I. Ioakimidis

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert boundary value problemsectionally analytic functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Boundary value problems in the complex plane (30E25)

Related Items (2)

A new class of quite elementary closed-form integral formulae for roots of nonlinear equations ⋮ Bounds for zeros of entire functions

Cites Work

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• A new method for obtaining exact analytical formulae for the roots of transcendental functions
• A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions
• Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $
• A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions
• Extension of numerical quadrature formulae to cater for end point singular behaviours over finite intervals

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