no. 2
On entire functions represented by Dirichlet series. IV
Annales de l'Institut Fourier, Tome 16 (1966) no. 2, pp. 209-223.

Dans cet article, on démontre quelques théorèmes nouveaux relatifs aux fonctions entières f(s) sommes de séries de Dirichlet ; ces résultats sont relatifs, en particulier, aux dérivées de f(s) et à une généralisation de la formule de Poisson.

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     title = {On entire functions represented by {Dirichlet} series. {IV}},
     journal = {Annales de l'Institut Fourier},
     pages = {209--223},
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     address = {Grenoble},
     volume = {16},
     number = {2},
     year = {1966},
     doi = {10.5802/aif.241},
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Kamthan, Pawan Kumar. On entire functions represented by Dirichlet series. IV. Annales de l'Institut Fourier, Tome 16 (1966) no. 2, pp. 209-223. doi : 10.5802/aif.241. http://archive.numdam.org/articles/10.5802/aif.241/

[1] A. G. Azpeitia, On the maximum modulus and the maximum term of an entire Dirichlet series; Proc. Amer. Math. Soc., 12, (1962), 717-721. | MR | Zbl

[2] G. Doetsch, Uber die obere Grenze des Absoluten Betrages einer analytischen Funktion auf Geraden; Math. Zeit., 8, (1920), 237-240. | JFM

[3] P. K. Kamthan, A note on the maximum term and the rank of an entire function represented by Dirichlet series; Math. Student, 31, N° 1-2, (1962), 17-33. | Zbl

[4] P. K. Kamthan, On the maximum term and its rank of an entire function represented by Dirichlet series (II), Raj. Uni, Studies Jour., Phy. Sec. (1962), 1-14.

[5] P. K. Kamthan, A theorem on step function; J. Gakugei, Tokushima Uni., 13, (1962), 43-47. | MR | Zbl

[6] P. K. Kamthan, On entire functions represented by Dirichlet series, Monat. für. Math., 68, (1964), 235-239. | MR | Zbl

[7] P. K. Kamthan, On entire functions represented by Dirichlet series (II); Monat. für. Math., 69, (1965), 146-150. | MR | Zbl

[8] P. K. Kamthan, On entire functions represented by Dirichlet series (III); Monat. für. Math., 69, (1965), 225-229. | MR | Zbl

[9] P. K. Kamthan, On the mean values of an entire function represented by Dirichlet series, Acta Math. Aca., Sci. Hung., 15, Fasc. 1-2, (1964), 133-136. | MR | Zbl

[10] S. Mandelbrojt, Dirichlet Series, Rice Instt. Paph., Vol. 31, N° 4, (1944). | MR | Zbl

[11] R. P. Srivastav, On entire functions and their derivatives represented by Dirichlet series; Ganita (Lucknow), 9, (1958), 83-93. | MR | Zbl

[12] G. Valiron, Integral Functions, Chel. Pub., New York, (1949).

[13] Y. C. Yung, Sur les droites de Borel de certaines fonctions entières; Ann. École Normale, 68, (1951), 65-104. | Numdam | MR | Zbl

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