Title:
|
Maximum modulus function of derivatives of entire functions defined by Dirichlet series (English) |
Author:
|
Gupta, J. S. |
Author:
|
Bhola, D. K. |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
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14 |
Issue:
|
3 |
Year:
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1973 |
Pages:
|
507-518 |
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Category:
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math |
. |
MSC:
|
30A62 |
MSC:
|
30A66 |
MSC:
|
30B50 |
MSC:
|
30D10 |
MSC:
|
30D15 |
idZBL:
|
Zbl 0279.30026 |
idMR:
|
MR0328068 |
. |
Date available:
|
2008-06-05T20:42:32Z |
Last updated:
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2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105505 |
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Related article:
|
http://dml.cz/handle/10338.dmlcz/105563 |
. |
Reference:
|
[1] MANDELBROJT S.: The Rice Institute Pamphlet (Dirichlet series).No. 4, Vol. 31, Houston, 1944. MR 0012163 |
Reference:
|
[2] DÖETSCH G.: Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden.Math. Z. 18 (1920), 237-240. MR 1544441 |
Reference:
|
[3] SUGIMURA K.: Übertragung einiger Sätze aus der Theorie der ganzen Funktionen auf Dirichletsche Reihen.Math. Z. 29 (1929), 264-267. MR 1545003 |
Reference:
|
[4] GUPTA J. S.: A note on the maximum term of an entire Dirichlet series.Publ. Math. Debrecen 10 (1963), 53-57. MR 0169996 |
Reference:
|
[5] SRIVASTAVA S. N.: A note on the derivatives of an integral function represented by Dirichlet series.Rev. Mat. Hisp. - Amer. 22 (1962), 246-259. MR 0151616 |
Reference:
|
[6] Yu C. Y.: Sur les droites de Borel de certaines functions entières.Ann. Sci. École Norm. Sup. 68 (1951), 65-104. MR 0041223 |
Reference:
|
[7] SRIVASTAVA R. S. L., GUPTA J. S.: On the maximum term of an integral function defined by Dirichlet series.Math. Ann. 174 (1967), 240-246. Zbl 0179.38601, MR 0218565 |
Reference:
|
[8] SRIVASTAVA R. S. L.: On the order of integral functions defined by Dirichlet series.Proc. Amer. Math. Soc.12 (1961), 702-708. Zbl 0128.07201, MR 0125210 |
Reference:
|
[9] RAHMAN Q. I.: On the maximum modulus and the coefficients of an entire Dirichlet series.Tohoku Math. J. (2), 8 (1956), 108-113. Zbl 0074.29803, MR 0080153 |
Reference:
|
[10] SRIVASTAV R. P., GHOSH R. K.: On the entire functions represented by Dirichlet series.Ann. Polon. Math. 13 (1963), 93-100. MR 0156978 |
Reference:
|
[11] GUPTA J. S.: On the ordinary proximate linear order of integral functions defined by Dirichlet series.Monatsh. Math. 70 (1963), 111-117. MR 0193230 |
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