Fuzzy differential subordination theory represents a generalization of the classical concept which emerged in recent years as result embedding fuzzy set into geometric function theory. The fractional integral Gaussian hypergeometric is defined this paper and using properties chains, new subordinations are obtained. Dominants given particular functions such dominants, interesting interpreted inc...

In this paper, we obtain the extended Wright generalized Hypergeometric function using extended Beta function. We also obtain certain integral representations, Mellin transform and some derivative properties of extended Wright generalized Hypergeometric function. Further, we represent extended Wright generalized Hypergeometric function in the form of Laguerre polynomials and Whittaker function.

Three- and four-term recurrence relations for hypergeometric functions of the second order (such as Appell, Horn, etc.) are starting point constructing branched continued fraction expansions ratios these functions. These essential obtaining simplest structure fractions (elements which simple polynomials) approximating solutions systems partial differential equations, well some analytical two va...

Recommended by Teodor Bulboac˘ a The authors define a new subclass of A of functions involving complex order in the open unit disk U. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.