The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value $b(\infty ,u)$ for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that $b(\infty ,u)\leq \pi $ for subharmonic functions of infinite lower order.
Keywords:
notion strong asymptotic tract subharmonic functions defined eremenkos value infty subharmonic functions introduced provide exact upper estimate number strong tracts subharmonic functions infinite lower order shown infty leq subharmonic functions infinite lower order
Affiliations des auteurs :
I. I. Marchenko
1
;
A. Szkibiel
1
1
Institute of Mathematics University of Szczecin Wielkopolska 15 70-451 Szczecin, Poland
I. I. Marchenko; A. Szkibiel. On strong tracts of subharmonic functions
of infinite lower order. Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 275-284. doi: 10.4064/ap92-3-6
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title = {On strong tracts of subharmonic functions
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