q-STARLIKE FUNCTIONS OF ORDER ALPHA

Y. POLATOGLU, F. UCAR, B. YILMAZ

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Abstract

For all q 2 (0; 1) and 0   < 1 we dene a class of analytic functions, so-called q-starlike functions of order  on the open unit disc D = fz : jzj < 1g : We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order .

Keywords

q-starlike functions, distortion theorem, growth theorem, coecient inequality.