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The generalized hypergeometric difference equation

Bohner M., Cuchta T.

Demonstratio Mathematica

2018

Vol. 51, nr 1

62--75

A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.

Classes of functions related to the generalized hypergeometric function

Leś-Bomba Edyta

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2004

z. 27 [212]

29-37

In this paper we Investigate a class of p-valent analytic functions with fixed argument of coefficient, which is defined in terms of generalized hypergeometric function. Using techniques due to Dziok and Srivastava [4] (see also [1]) we investigate coefficient estimates, distortion theorems, the radii of convexity and starlikeness in this class.