Boundedness of $L$-index for the composition of entire functions of several variables

• Datum: 2018
• Hauptverfasser: Bandura, A. І., Skaskiv, O. B., Бандура, А. І., Скасків, О. Б.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1639
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the following compositions of entire functions $F(z) = f \bigl( \Phi (z)\bigr) $ and $H(z,w) = G(\Phi 1(z),\Phi 2(w))$, where f$f : C \rightarrow C, \Phi : C^n \rightarrow C,\; \Phi_1 : C^n \rightarrow C, \Phi_2 : C^m \rightarrow C$, and establish conditions guaranteeing the equival...