On the lower order and type of entire axially monogenic functions. (English) Zbl 1270.30017

Abul-Ez, M. A.; De Almeida, R.

Result. Math. 63, No. 3-4, 1257-1275 (2013).

Summary: For entire axially monogenic functions, which are monogenic in the whole space, the lower order and type are defined, as in the complex case, in terms of the maximum modulus of the functions and the Taylor coefficients. The study carried out in this paper bears certain novelty to the familiar literature concerning Clifford valued functions.

MSC:

30G35	Functions of hypercomplex variables and generalized variables
30D15	Special classes of entire functions of one complex variable and growth estimates

Keywords:

special monogenic functions; Valiron’s inequalities; lower order; lower type

References:

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