A new method for obtaining exact analytical formulae for the roots of transcendental functions

DOI10.1007/BF00406396zbMath0566.30005OpenAlexW1975302377MaRDI QIDQ1059169

E. G. Anastasselou, Nikolaos I. Ioakimidis

Publication date: 1984

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00406396

zbMATH Keywords

Riemann boundary value problemSiewert-Burniston method

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)

Related Items (6)

A new, simple approach to the derivation of exact analytical formulae for the zeros of analytic functions ⋮ A unified Riemann-Hilbert approach to the analytical determination of zeros of sectionally analytic functions ⋮ Analytical solution of polynomial equations with an application to the quintic equation ⋮ A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions ⋮ Bernstein, Pick, Poisson and related integral expressions for LambertW ⋮ A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions

Cites Work

• On double zeros of x-tanh(ax+b)
• Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $
• On computing eigenvalues in radiative transfer
• Discrete spectrum basic to kinetic theory

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