AbstractA summation formula is given for 3F2(a, b, c; 12(a + b + i + 1), 2c + j; 1) with fixed j and arbitrary i(i,j∈Z). This result generalizes the classical Watson's theorem which deals with the case i = j = 0.Extensions to the cases of 3F2(a, 1 + i + j − a,c;e, 1 + i + 2c − e; 1), and 3F2(a, b, c; 1 + i + a − b, 1 + i + j + a − c; 1) are given. Notice that the case i = j = 0 corresponds to the classical theorems due to Whipple and Dixon, respectively
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
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 ...
. A summation formula is given for 3 F2(a; b; c; (a + b + i + 1)=2; 2c + j; 1) with fixed j and arbi...
We give a new proof of the classical Watson theorem for the summa-tion of a 3F2 hypergeometric serie...
AbstractA summation formula is given for 3F2(a, b, c; 12(a + b + i + 1), 2c + j; 1) with fixed j and...
AbstractExample 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is pr...
Abstract. The aim of this research paper is to provide certain generalizations of two well-known sum...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
AbstractThirty-eight summation closely related to Whipple's theorem, in the theory of the generalize...
AbstractIn this paper, the concept of Riordan array is used to propose three theorems on combinatori...
In this paper we present a generalization of Faulhaber's formula to sums of arbitrary complex powers...
We present generalizations of three classical summation formulas 2F1 due to Kummer, which are able t...
AbstractWe derive summation formulas for a specific kind of multidimensional basic hypergeometric se...
The -analogue of Dixon's identity involves three -binomial coefficients as summands. We find many va...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
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 ...
. A summation formula is given for 3 F2(a; b; c; (a + b + i + 1)=2; 2c + j; 1) with fixed j and arbi...
We give a new proof of the classical Watson theorem for the summa-tion of a 3F2 hypergeometric serie...
AbstractA summation formula is given for 3F2(a, b, c; 12(a + b + i + 1), 2c + j; 1) with fixed j and...
AbstractExample 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is pr...
Abstract. The aim of this research paper is to provide certain generalizations of two well-known sum...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
AbstractThirty-eight summation closely related to Whipple's theorem, in the theory of the generalize...
AbstractIn this paper, the concept of Riordan array is used to propose three theorems on combinatori...
In this paper we present a generalization of Faulhaber's formula to sums of arbitrary complex powers...
We present generalizations of three classical summation formulas 2F1 due to Kummer, which are able t...
AbstractWe derive summation formulas for a specific kind of multidimensional basic hypergeometric se...
The -analogue of Dixon's identity involves three -binomial coefficients as summands. We find many va...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
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 ...
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