Wiman–Valiron theory for the Dirac–Hodge equation on upper half-space of

In this paper we study the asymptotic growth behavior of solutions to the Dirac–Hodge equation on upper half-space of R n + 1 . By means of the Fourier transform we introduce lower and upper growth orders and generalizations of the maximum term and central index for this function class. Together with a Cauchy estimate we obtain an explicit lower and upper bound estimate of the maximum modulus M ( x n , f ) in terms of these notions.