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A geometric interpretation of the relative order between entire functions. (English) Zbl 0859.32001
The author extends a very refined notion of relative order and type for pairs of entire functions introduced earlier by C. O. Kiselman [Complex analysis, Banach Cent. Publ. 11, 131-141 (1983; Zbl 0585.32019)].
MSC:
32A15 Entire functions of several complex variables
32A30 Other generalizations of function theory of one complex variable
30D15 Special classes of entire functions of one complex variable and growth estimates
52A41 Convex functions and convex programs in convex geometry
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[1] S. Halvarsson, Extension of entire functions with controlled growth. Math. Scand.74, 73-97 (1994). · Zbl 0813.32001
[2] S.Halvarsson, Growth properties of entire functions depending on a parameter. Ann. Polon. Math., to appear. · Zbl 0917.32001
[3] C. O.Kiselman, The use of conjugate convex functions in complex analysis. In: Complex Analysis, J. ?awrynowicz and J. Siciak, eds., 131-142, Banach Center Publications, vol. 11, 1983. · Zbl 0585.32019
[4] C. O. Kiselman, Order and type as measures of growth for convex or entire functions. Proc. London Math. Soc. (3)66, 152-186 (1993). · Zbl 0798.32001
[5] R. T.Rockafellar, Convex Analysis. Princeton 1970. · Zbl 0193.18401
[6] W.Rudin, Real and Complex Analysis. 1987. · Zbl 0925.00005
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