q-STARLIKE FUNCTIONS OF ORDER ALPHA

q-STARLIKE FUNCTIONS OF ORDER ALPHA

For all q [member of] (0,1) and 0 [less than or equal to] [alpha] < 1 we define a class of analytic functions, so-called q-starlike functions of order [alpha] on the open unit disc D = {z : |z| < 1}. We will study this class of functions and explore some inclusion properties with the well-know...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2018-01, Vol.8 (1A), p.186-7
Hauptverfasser: Polatoglu, Y, Ucar, F, Yilmaz, B
Format: Artikel
Sprache:eng
Schlagworte:
Equality
Functions (Mathematics)
Mathematical research
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Zusammenfassung:For all q [member of] (0,1) and 0 [less than or equal to] [alpha] < 1 we define a class of analytic functions, so-called q-starlike functions of order [alpha] on the open unit disc D = {z : |z| < 1}. We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order [alpha].Keywords: q-starlike functions, distortion theorem, growth theorem, coefficient inequality.AMS Subject Classification: 30C45
ISSN:2146-1147
2146-1147
DOI:10.26837/jaem.428337