Generalized Growth Orders for Polymonogenic Functions and Related Inequalities
de Almeida, Regina; Kraußhar, R.S.
Complex Analysis and Operator Theory, 10(2) (2016), 233–250
https://link.springer.com/article/10.1007%2Fs11785-014-0433-8
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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