no. 2
On the mean values of an entire function represented by Dirichlet series
Annales de l'Institut Fourier, Volume 21 (1971) no. 2, pp. 31-34.

For entire functions defined by absolutely convergent Dirichlet series, a theorem on their mean values is established which include the results of Kamthan, Juneja and Awasthi.

Pour des fonctions entières définies par des séries de Dirichlet, on démontre un théorème relatif à leurs valeurs moyennes, qui généralise des résultats de Kamthan, Juneya et Awasthi.

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     title = {On the mean values of an entire function represented by {Dirichlet} series},
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Bajpai, S. K. On the mean values of an entire function represented by Dirichlet series. Annales de l'Institut Fourier, Volume 21 (1971) no. 2, pp. 31-34. doi : 10.5802/aif.371. https://aif.centre-mersenne.org/articles/10.5802/aif.371/

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[2] E. Hille, Analytic function theory volume II ; Blaisdell Pub. Comp., 1962. | MR | Zbl

[3] P. K. Kamthan, On the mean values of entire functions represented by Dirichlet series ; Acta. Math. Acad. Sci. Hung., 15 (1964), 133-136. | MR | Zbl

[4] P. K. Kamthan, On the mean values of entire function represented by Dirichlet series, ibidem, 16 (1965), 89-92. | MR | Zbl

[5] P. K. Kamthan, On entire functions represented by Dirichlet series (IV) ; Ann. Inst. Fourier, Grenoble 16 (1966), 209-223. | Numdam | MR | Zbl

[6] O. P. Juneja, On the mean values of an entire function and its derivatives represented by Dirichlet series, Ann. Polon. Math., 18 (1966), 307-313. | MR | Zbl

[7] O. P. Juneja and K. N. Awasthi, On the mean values of an entire function and its derivatives represented by Dirichlet series II, Ann. Polon. Math., 22 (1969), 89-96. | MR | Zbl

[8] S. Mandelbrojt, Dirichlet series, Rice Inst. Pamph, 31, 4 (1944). | MR | Zbl

[9] K. Sugimura, Ubertragung einiger Satze aus der Theorie der ganzen Functionen auf Dirichletsche Reihen, Math. Z., 29 (1928-1929), 264-277. | JFM

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