ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIV, 1 (2005)
p. 95 - 106

On an inequality for entire functions
T. Husain


Abstract.  It is shown that the entire function $F(z)=\sum\limits_{n=0}^{\infty }\hbox{e}^{-v(n)}z^{n}$ satisfies an inequality: $|F(z)|\geq MF(|z| )$ for some $M>0$ and for a set of $z$ in the complex plane.

AMS Subject classification:  26D20, 30A10, 39B72.

Download:     Adobe PDF     Compressed Postscript      

Version to read:     Adobe PDF

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

Telephone: + 421-2-60295755 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2005, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE