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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.

Unified elliptic-type integrals and asymptotic formulas

Chaurasia V., Pandey S.

Demonstratio Mathematica

2008

Vol. 41, nr 3

531-541

The object of the present paper is to consider a unified and extended form of certain families of elliptic-type integrals, which have been discussed in number of earlier works on the subject due to their importance and applications in problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors. We obtain asymptotic formulas for the unified elliptic-type integrals.

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.

On the subclassesof functions connected with some linear operators

Patel J., Sahoo P., Stankiewicz J.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2001

z. 25 [190]

151-165

The object of the present paper is to introduce two subclasses Bk,p (a, c) and Ck,p (a, c) of analytic functions in the open unit disc involving a linear operator [...] (a, c) and derive some properties of these classes.