×

The generalized type of entire functions with index-pair (p,q). (English) Zbl 0724.30024

Let f be an entire function with power series representation \(\sum^{\infty}_{m=0}a_ mz^ m=f(z)\). A generalized (p,q)-type is defined for f and a characterization of this type shown in terms of the coefficients \(\{a_ m\}\). In addition a condition is given whereby an entire function g obtained as a Hadamard composition with f will have the same (p,q) order and (p,q)-type as f.
Reviewer: L.R.Sons (DeKalb)

MSC:

30D15 Special classes of entire functions of one complex variable and growth estimates
PDFBibTeX XMLCite