Entire functions with two radially distributed values

Growth analysis of entire functions of two complex variables

In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

Uniqueness of entire functions sharing two values with their difference operators

Values of Entire Functions Represented by Gap Dirichlet Series

Introduction. In two previous notes [9],1 I stated some results which, in a general way, may be expressed as follows: If the Taylor series which represents an entire function satisfies a certain gap condition (which depends only on the order of F(z)), the zeros of F(z) —f(z) are not exceptional with respect to the proximate order of F(z) by any meromorphic function f(z) ^ w of lower order. On t...

Valiron Exceptional Values of Entire Functions of Completely Regular Growth

6. M. M. Dragilev, "On compatibly regular bases in nonnuc!ear Kothe spaces," Mat. Zametki, 30, No. 6, 819-822 (1981). P. B. Djakov, "A short proof of the Crone and Robinson theorem on quasiequivalence of regular bases," Stud. Math., 53, No. 3, 269-271 (1975). V. P. Zakharyuta and V. P. Konkdakov, "on the weak equivalence of bases of Kothe spaces," Izv. SKNts, VSh, ~, 12-15 (1983). M. M. Dragile...

Normality of numbers generated by the values of entire functions

as N → ∞, where the supremum is taken over all blocks d1 . . . dl ∈ {0, 1, . . . , q − 1} . We want to look at numbers whose digits are generated by the integer part of entire functions. Let f be any function and [f(n)]q denote the base q expansion of the integer part of f(n), then define θq = θq(f) = 0.[f(1)]q[f(2)]q[f(3)]q[f(4)]q[f(5)]q[f(6)]q . . . , τq = τq(f) = 0.[f(2)]q[f(3)]q[f(5)]q[f(7)...