On the mean values of an entire function represented by Dirichlet series

S. K. Bajpai

Annales de l'institut Fourier (1971)

  • Volume: 21, Issue: 2, page 31-34
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Bajpai, S. K.. "On the mean values of an entire function represented by Dirichlet series." Annales de l'institut Fourier 21.2 (1971): 31-34. <http://eudml.org/doc/74036>.

@article{Bajpai1971,
abstract = {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.},
author = {Bajpai, S. K.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {31-34},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the mean values of an entire function represented by Dirichlet series},
url = {http://eudml.org/doc/74036},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Bajpai, S. K.
TI - On the mean values of an entire function represented by Dirichlet series
JO - Annales de l'institut Fourier
PY - 1971
PB - Association des Annales de l'Institut Fourier
VL - 21
IS - 2
SP - 31
EP - 34
AB - 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.
LA - eng
UR - http://eudml.org/doc/74036
ER -

References

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  1. [1] A. G. AZPEITIA, On the maximum modulus and the maximum term of an entire Dirichlet series, Proc Amer. Math. Soc., 12 (1961), 717-721. Zbl0126.29003MR23 #A3829
  2. [2] E. HILLE, Analytic function theory volume II ; Blaisdell Pub. Comp., 1962. Zbl0102.29401MR34 #1490
  3. [3] P. K. KAMTHAN, On the mean values of entire functions represented by Dirichlet series ; Acta. Math. Acad. Sci. Hung., 15 (1964), 133-136. Zbl0171.04301MR29 #2371
  4. [4] P. K. KAMTHAN, On the mean values of entire function represented by Dirichlet series, ibidem, 16 (1965), 89-92. Zbl0171.04302MR31 #1377
  5. [5] P. K. KAMTHAN, On entire functions represented by Dirichlet series (IV) ; Ann. Inst. Fourier, Grenoble 16 (1966), 209-223. Zbl0145.08103MR37 #1606
  6. [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. Zbl0173.31702MR34 #1524
  7. [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. Zbl0179.38701MR39 #5799
  8. [8] S. MANDELBROJT, Dirichlet series, Rice Inst. Pamph, 31, 4 (1944). Zbl0063.03767MR6,267e
  9. [9] K. SUGIMURA, Ubertragung einiger Satze aus der Theorie der ganzen Functionen auf Dirichletsche Reihen, Math. Z., 29 (1928-1929), 264-277. Zbl54.0365.01JFM54.0365.01

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