ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 68, 1 (1999)
pp. 179-193
A NEW CLASS OF ANALYTIC FUNCTIONS INVOLVING CERTAIN FRACTIONAL DERIVATIVE OPERATORS
S. BHATT and R. K. RAINA
Abstract.
The present paper systematically investigates a new class of functions involving certain fractional derivative operators. Characterization and distortion theorems, and other interesting properties of this class of functions are studied. Further, the modified Hadamard product of several functions belonging to this class are also investigated.
AMS subject classification.
30C45, 26A33
Keywords.
Analytic functions, starlike functions, univalent functions, Hadamard product, fractional derivative operators, distortion property
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