## EVALUATION OF SOME EXPLICIT SUMMATION FORMULAE FOR TRUNCATED GAUSS FUNCTION AND APPLICATIONS

## EVALUATION OF SOME EXPLICIT SUMMATION FORMULAE FOR TRUNCATED GAUSS FUNCTION AND APPLICATIONS

*A. J. Hussein, H. A. Kashkool*

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## Abstract

In this paper, some explicit expressions for truncated Gauss' hypergeomet- ric series 2F1 with argument 2, when one numerator and one denominator parameters are negative integers such as 2F1 -m; a; -2m + j; 2 m ; m > j and 2F1 -m; a; -2m - j; 2 m ; m; j 2 N are obtained with the help of Whipple and Vidunas identities respectively. Further, we derive some results as applications of these summation theorems.

## Keywords

Gauss' hypergeometric function, generalized hypergeometric function, trun- cated series.