Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated. 1. Introduction. Let A denote the class of functions of the form f (z) = z+ ∞ n=2 a n z
By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.
A class of univalent functions is defined by making use of the Ruscheweyh derivatives. This class provides an interesting transition from starlike functions to convex functions. In special cases it has close interrelations with uniformly starlike and uniformly convex functions. We study the effects of certain integral transforms and convolutions on the… (More)
We establish the existence and uniqueness of an attractive fractional coupled system. Such a system has applications in biological populations of cells. We confirm that the fractional system under consideration admits a global solution in the Sobolev space. The solution is shown to be unique. The technique is founded on analytic method of the fixed point… (More)
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its… (More)
Dedicated to the memory of Evelyn Marie Silvia (1948–2006) Evelyn was a friend and colleague of Jay for 21 years and Herb for 37 years Recommended by Teodor Bulboaca Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f = h + g, where h and g are analytic in the open unit disk. The… (More)