Research
A CLASS OF CONVOLUTION INTEGRAL EQUATIONS AND SPECIAL FUNCTIONS
In the present paper a convolution integral equation of Fredholm type whose kernel involves a product of generalized polynomial set, general multivariable polynomials, Fox’s Hfunction and H -function, has been solved by using the theory of Mellin transforms. Our main result is believed to be general and unified in nature. A number of (known and new) results follow as special cases by specializing the coefficients and parameters involved in the kernel.
UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS
The aim of this paper is to establish sufficient conditions for the function z {pψq (z)} to be in the classes of uniformly starlike and uniformly convex functions associated with the parabolic region Re {ω} > | − 1 ω | . Further, convolution of the functions which are analytic in the open unit disk with negative coefficients have been investigated. Finally, similar results using an integral operator have also been obtained.
