Solutions of the equation \(ze^z=a(z+b)\)

DOI10.1016/0022-247X(74)90243-1zbMath0283.33001MaRDI QIDQ1844348

E. E. Burniston, C. E. Siewert

Publication date: 1974

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

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) Boundary value problems in the complex plane (30E25) Exponential and trigonometric functions (33B10)

Related Items (5)

The Euler \(T\) and Lambert \(W\) functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells ⋮ Über die Nullstellen von Exponentialsummen längs einer logarithmischen Wechsellinie ⋮ A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions ⋮ A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions

Cites Work

• Exact analytical solutions of \(ze^z=a\)
• Stability Criteria and the Real Roots of a Transcendental Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Solutions of the equation \(ze^z=a(z+b)\)