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SOME RESULTS CONCERNING SPIRAL-LIKENESS OF A CLASS OF ANALYTIC FUNCTIONS
1993
Demonstratio Mathematica
Silverman [12] observed that for every 7 real, 7 ^ 0,1, there exists an / 6 5 for which g-y(z) 6 S. Some of the above observations about the operators of the form (1.3), have led us to investigate the spiral-likeness and other properties of these operators. Denote by H x (a) the class of A-spiral-like functions of order a in A. An analytic function / in A is in H x (a) if and only if /(0) = 0, /'(0) = 1, and Re(e iX zf'(z)/f((z)) > a cos A for some a, A(0 < a < 1,-t/2 < A < tt/2) and for all z
doi:10.1515/dema-1993-3-416
fatcat:dyqdk2apozhzdheelkcmzrrisi