On the Asymptotic Growth of Entire Monogenic Functions | Zendy

Rolf Sören Kraußhar | Zendy; R. De Almeida | Zendy

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On the Asymptotic Growth of Entire Monogenic Functions

Author(s) -

Rolf Sören Kraußhar,

R. De Almeida

Publication year - 2005

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1268

Subject(s) - mathematics , iterated function , euclidean geometry , transcendental number , pure mathematics , transcendental function , entire function , function (biology) , term (time) , mathematical analysis , geometry , physics , biology , quantum mechanics , evolutionary biology

In this paper we analyze the behavior of growth of entire monogenic functions in higher dimensional Euclidean spaces. Generalizations of growth orders, the maximum term and of the central index to Clifford analysis provide the basic tools for our analysis. We obtain generalizations of some Valiron's inequalities for transcendental entire monogenic functions. Further to this an asymptotic relation between the growth of a monogenic function and their iterated radial derivatives is established.

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