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In this paper, the authors introduced certain subclasses - uniformly - starlike and - uniformly - convex functions of order involving the - derivative operator defined in the open unit disc. Coefficient bounds were also investigated.

journal of function spaces

Certain Subclasses of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>β</mml:mi></mml:math>-Uniformly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>q</mml:mi></mml:math>-Starlike and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>β</mml:mi></mml:math>-Uniformly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi>q</mml:mi></mml:math>-Convex Functions

Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions