Subordination Results for Certain Subclasses of Uniformly Starlike and Convex Functions Defined by Convolution
In this paper we derive several subordination results for certain subclasses of uniformly starlike and convex functions defined by convolution.
Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions
The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously known results.
q-Fractional Calculus and Equations
1 Preliminaries.- 2 q-Difference Equations.- 3 q-Sturm Liouville Problems.- 4 Riemann-Liouville q-Fractional Calculi.- 5 Other q-Fractional Calculi.- 6 Fractional q-Leibniz Rule and Applications.- 7 q-Mittag-Leffler Functions.- 8 Fractional q-Difference Equations.- 9 Applications of q-Integral Transforms.