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Azpeitia, A. G.

On the maximum modulus and the maximum term of an entire Dirichlet series. (English) Zbl 0126.29003

Proc. Am. Math. Soc. 12, 717-721 (1961).
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Cited in 6 Documents

Keywords:

complex functions
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References:

[1] J. F. Ritt, On Certain Points in the Theory of Dirichlet Series, Amer. J. Math. 50 (1928), no. 1, 73 – 86. · JFM 54.0363.03 · doi:10.2307/2370849
[2] Gustav Doetsch, Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden, Math. Z. 8 (1920), no. 3-4, 237 – 240 (German). · JFM 47.0274.03 · doi:10.1007/BF01206529
[3] S. Mandelbrojt, Séries de Fourier et classes quasi-analytiques de fonctions, Paris, Gauthier-Villars, 1935. · Zbl 0013.11006
[4] S. Mandelbrojt, Dirichlet series, Rice Inst. Pamphlet 31 (1944), 159 – 272. · Zbl 0063.03767
[5] A. G. Azpeitia, El orden precisado en las funciones enteras, Memorias de Matemáticas del Instituto Jorge Juan, no. 15, Consejo Superior de Investigaciones Científicas, Madrid, 1955.
[6] Kinjiro Sugimura, Übertragung einiger Sätze aus der Theorie der ganzen Funktionen auf Dirichletsche Reihen, Math. Z. 29 (1929), no. 1, 264 – 277 (German). · JFM 54.0365.01 · doi:10.1007/BF01180529
[7] Qazi Ibadur Rahman, On the maximum modulus and the coefficients of an entire Dirichlet series, Tôhoku Math. J. (2) 8 (1956), 108 – 113. · Zbl 0074.29803 · doi:10.2748/tmj/1178245013
[8] G. Valiron, Lectures on the general theory of integral functions, New York, Chelsea, 1949.
[9] R. San Juan, Los fundamentos de una teoría general de series divergentes, Rev. Acad. Ci. Madrid vol. 45 (1951) pp. 121-149.
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