AbstractIn 1797, Pfaff summed a 3F2 hypergeometric series. His result was ignored until Saalschutz rediscovered it in 1890. This paper is devoted to a detailed account of the wide applicability of Pfaff's method
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of ...
The work is devoted to obtaining explicit formulas for analytic continuation of quite general hyperg...
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
AbstractIn this paper we derive a q-analog of Holman′s U(n) generalization of the Pfaff-Saalschutz o...
Transformation formulas for terminating Saalschfitzian hypergeometric series of unit argument p + 1F...
AbstractThe elementary manipulation of series together with summations of Gauss, Saalschutz and Dixo...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractBy applying the triple form of Gould–Hsu inversions to the Pfaff–Saalschütz theorem, a famil...
The generalized hypergeometric functions in one and several variables and their natural generalizati...
We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel ...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
Abstract. The first object of this note is to show that a summation for-mula due to Padmanabham for ...
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of ...
The work is devoted to obtaining explicit formulas for analytic continuation of quite general hyperg...
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
AbstractIn this paper we derive a q-analog of Holman′s U(n) generalization of the Pfaff-Saalschutz o...
Transformation formulas for terminating Saalschfitzian hypergeometric series of unit argument p + 1F...
AbstractThe elementary manipulation of series together with summations of Gauss, Saalschutz and Dixo...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractBy applying the triple form of Gould–Hsu inversions to the Pfaff–Saalschütz theorem, a famil...
The generalized hypergeometric functions in one and several variables and their natural generalizati...
We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel ...
. We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschutzian hype...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
Abstract. The first object of this note is to show that a summation for-mula due to Padmanabham for ...
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of ...
The work is devoted to obtaining explicit formulas for analytic continuation of quite general hyperg...
AbstractA general result involving the generalized hypergeometric function is deduced by the element...