Maximum modulus function of derivatives of entire functions defined by Dirichlet series

J. S. Gupta; D. K. Bhola

Commentationes Mathematicae Universitatis Carolinae (1973)

  • Volume: 014, Issue: 3, page 507-518
  • ISSN: 0010-2628

How to cite

top

Gupta, J. S., and Bhola, D. K.. "Maximum modulus function of derivatives of entire functions defined by Dirichlet series." Commentationes Mathematicae Universitatis Carolinae 014.3 (1973): 507-518. <http://eudml.org/doc/16577>.

@article{Gupta1973,
author = {Gupta, J. S., Bhola, D. K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {507-518},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Maximum modulus function of derivatives of entire functions defined by Dirichlet series},
url = {http://eudml.org/doc/16577},
volume = {014},
year = {1973},
}

TY - JOUR
AU - Gupta, J. S.
AU - Bhola, D. K.
TI - Maximum modulus function of derivatives of entire functions defined by Dirichlet series
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1973
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 014
IS - 3
SP - 507
EP - 518
LA - eng
UR - http://eudml.org/doc/16577
ER -

References

top
  1. MANDELBROJT S., The Rice Institute Pamphlet (Dirichlet series), No. 4, Vol. 31, Houston, 1944. (1944) MR0012163
  2. DÖETSCH G., Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden, Math. Z. 18 (1920), 237-240. (1920) MR1544441
  3. SUGIMURA K., Übertragung einiger Sätze aus der Theorie der ganzen Funktionen auf Dirichletsche Reihen, Math. Z. 29 (1929), 264-267. (1929) MR1545003
  4. GUPTA J. S., A note on the maximum term of an entire Dirichlet series, Publ. Math. Debrecen 10 (1963), 53-57. (1963) MR0169996
  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. (1962) MR0151616
  6. Yu C. Y., Sur les droites de Borel de certaines functions entières, Ann. Sci. École Norm. Sup. 68 (1951), 65-104. (1951) MR0041223
  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. (1967) Zbl0179.38601MR0218565
  8. SRIVASTAVA R. S. L., On the order of integral functions defined by Dirichlet series, Proc. Amer. Math. Soc.12 (1961), 702-708. (1961) Zbl0128.07201MR0125210
  9. RAHMAN Q. I., On the maximum modulus and the coefficients of an entire Dirichlet series, Tohoku Math. J. (2), 8 (1956), 108-113. (1956) Zbl0074.29803MR0080153
  10. SRIVASTAV R. P., GHOSH R. K., On the entire functions represented by Dirichlet series, Ann. Polon. Math. 13 (1963), 93-100. (1963) MR0156978
  11. GUPTA J. S., On the ordinary proximate linear order of integral functions defined by Dirichlet series, Monatsh. Math. 70 (1963), 111-117. (1963) MR0193230

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.