The growth of entire functions in the terms of generalized orders
Let $Phi$ be a convex function on $[x_0,+infty)$ such that$frac{Phi(x)}xo+infty$, $xo+infty$, $f(z)=sum_{n=0}^infty a_nz^n$--- a transcendental entire function, let $M(r,f)$ be the maximum modulus of$f$ and let$$ho_Phi(f)=varlimsup_{ro +infty}frac{lnln M(r,f)}{lnPhi(ln r)},quad c_{Phi}=varlimsup_{xo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2012-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/73/62 |