We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided
AbstractA number of new transformation formulas for double hypergeometric series are presented. The ...
AbstractThe existing list of reducible cases of double hypergeometric functions is supplemented by t...
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluen...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
In an earlier paper the author has established two theorems on generalized hypergeometric functions....
AbstractFor a generalized hypergeometric function pFq[z] with positive integral differences between ...
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
AbstractSummations over the positive integers n of the generalized hypergeometric expressions (±1)np...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
AbstractThe double hypergeometric Kampé de Fériet seriesF0:31:1(1,1) depends upon 9 complex paramete...
AbstractA large number of summation and transformation formulas for a certain class of double hyperg...
AbstractA transformation formula is given for the generalized hypergeometric function in series of s...
AbstractA Kummer-type transformation formula for the generalized hypergeometric function 2F2 deduced...
AbstractA number of new transformation formulas for double hypergeometric series are presented. The ...
AbstractThe existing list of reducible cases of double hypergeometric functions is supplemented by t...
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluen...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
In an earlier paper the author has established two theorems on generalized hypergeometric functions....
AbstractFor a generalized hypergeometric function pFq[z] with positive integral differences between ...
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
AbstractSummations over the positive integers n of the generalized hypergeometric expressions (±1)np...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
AbstractThe double hypergeometric Kampé de Fériet seriesF0:31:1(1,1) depends upon 9 complex paramete...
AbstractA large number of summation and transformation formulas for a certain class of double hyperg...
AbstractA transformation formula is given for the generalized hypergeometric function in series of s...
AbstractA Kummer-type transformation formula for the generalized hypergeometric function 2F2 deduced...
AbstractA number of new transformation formulas for double hypergeometric series are presented. The ...
AbstractThe existing list of reducible cases of double hypergeometric functions is supplemented by t...
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluen...