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
[PDF]
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.