Siewert, C. E.; Burniston, E. E. Exact analytical solutions of \(ze^z=a\). (English) Zbl 0271.33003 J. Math. Anal. Appl. 43, 626-632 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 13 Documents MSC: 33B10 Exponential and trigonometric functions 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) 30E25 Boundary value problems in the complex plane 30D30 Meromorphic functions of one complex variable (general theory) PDFBibTeX XMLCite \textit{C. E. Siewert} and \textit{E. E. Burniston}, J. Math. Anal. Appl. 43, 626--632 (1973; Zbl 0271.33003) Full Text: DOI Digital Library of Mathematical Functions: §4.13 Lambert 𝑊-Function ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions References: [1] Wright, E. M., Bull. Amer. Math. Soc., 65, 89 (1959) [2] Bellman, R.; Cooke, K. L., Differential-Difference Equations (1963), Academic Press: Academic Press New York · Zbl 0118.08201 [3] Goel, N. S.; Maitra, S. C.; Montroll, E. W., Rev. Mod. Phys., 43, 231 (1971) [4] Burniston, E. E.; Siewert, C. E., (Proc. Camb. Phil. Soc., 73 (1973)), 111 [5] Ahlfors, L. V., Complex Analysis (1953), McGraw-Hill: McGraw-Hill New York [6] Muskhelishvili, N. I., Singular Integral Equations (1953), Noordhoff: Noordhoff Groningen · Zbl 0051.33203 [7] Simonenko, I. B., Dokl. Akad. Nauk. SSSR, 124, 278 (1959) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.