Transformation formulas for terminating Saalschfitzian hypergeometric series of unit argument p + 1Fp(1) are presented. They generalize the Saalschfitzian summation formula for 3F2(1). Formulas for p 3,4, 5 are obtained explicitly, and a recurrence relation is proved by means of which the corresponding formulas can also be derived for larger p. The Gaussian summation formula can be deriv-ed from the Saalschiitzian formula by a limiting process, and the same is true for the corresponding generalized formulas. By comparison with generalized Gaus-sian summation formulas obtained earlier in a different way, two identities for fi-nite sums involving terminating aF2(1) series are found. They depend on four or six independent parameters, respectiv...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractThe elementary manipulation of series together with summations of Gauss, Saalschutz and Dixo...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
AbstractWe show that several terminating summation and transformation formulas for basic hypergeomet...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
In this paper, by introducing two sequences of new numbers and their derivatives, which are closely ...
The aim of this research paper is to establish a quite general transformation involving the generali...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel ...
In this paper, we construct four summation formulas for terminating Gauss’ hypergeometric series hav...
By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wan...
AbstractThe double hypergeometric Kampé de Fériet seriesF0:31:1(1,1) depends upon 9 complex paramete...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractThe elementary manipulation of series together with summations of Gauss, Saalschutz and Dixo...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
AbstractWe show that several terminating summation and transformation formulas for basic hypergeomet...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
In this paper, by introducing two sequences of new numbers and their derivatives, which are closely ...
The aim of this research paper is to establish a quite general transformation involving the generali...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel ...
In this paper, we construct four summation formulas for terminating Gauss’ hypergeometric series hav...
By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wan...
AbstractThe double hypergeometric Kampé de Fériet seriesF0:31:1(1,1) depends upon 9 complex paramete...
AbstractA multiple generalization of the Euler transformation formula for basic hypergeometric serie...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractThe elementary manipulation of series together with summations of Gauss, Saalschutz and Dixo...