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Exact analytical solutions of \(ze^z=a\). (English) Zbl 0271.33003


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)
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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)
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