Generalized growth orders for polymonogenic functions and related inequalities
Data
2014
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Springer International Publishing
Resumo
In this paper we introduce generalized growth orders and growth types in the sense of Shah and Seremeta in the context of polymonogenic functions. They provide a refinement of previously introduced growth orders in the study of the asymptotic growth behavior of functions satisfying higher dimensional Cauchy–Riemann type equations. We prove a number of insight giving inequalities and manage to extend some basic results that were recently proved for the context of the usual first order Cauchy–Riemann system in Clifford analysis.
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Palavras-chave
Iterated generalized Cauchy–Riemann equations , Polymonogenic functions , Asymptotic growth behavior of generalized analytic functions , Generalized growth orders , Generalized growth type