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Necessary and sufficient coefficient bounds and convolution condition for certain multivalent harmonic functions whose convolution with generalized hypergeometric functions is starlike of order g are investigated. Results on extreme points, convex combination and distortion bounds using the coefficient condition are also obtained. [ABSTRACT FROM AUTHOR]

New subclasses of analytic functions in the open unit disc are introduced which are defined using generalised multiplier transformations. Inclusion theorems are investigated for functions to be in the classes. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes. [ABSTRACT FROM AUTHOR]

In this paper, we consider a class of uniformly starlike functions defined by certain integral operator. We determine a sufficient condition for a function f to be uniformly starlike function that is also necessary when f has negative coefficients. Similar results for corresponding subclasses of uniformly convex functions are also obtained. [ABSTRACT FROM AUTHOR]

Let f (z) = z + ∑ n = 2 ∞ a n z n and g p , b , c (z) = z + ∑ n = 2 ∞ (− c 4) n − 1 (3 2) n − 1 (k) n − 1 z n with p , b , c ∈ ℂ , k = p + b + 2 2 ≠ 0 , − 1 , − 2 , ... be two analytic functions in the unit disk U = { z : | z | < 1 } . This paper gives conditions so that the function T p , b , c (z) = (f ∗ g) (z) , a function associated with the Struve function, is univalent, starlike, or convex in the unit disk. [ABSTRACT FROM AUTHOR]