A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.
We introduce a new family of meromorphic functions defined by the second order differential subordination involving generalized Mittag-Leffler function. Certain convolution properties of the family are discussed.Mathematics subject classification (2010): 33E12, 30C45.
The purpose of the present paper is to derive the radius of starlikeness for certain p-valent functions with missing coefficients. The results obtained here are sharp.
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