The Temme's sum rule for confluent hypergeometric functions revisited
- Sesma, Javier
DOIAbstract
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluent hypergeometric functions found by Temme is considered
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluent hypergeometric functions found by Temme is considered
We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the ca...
AbstractA hypergeometric transformation formula is developed that simultaneously simplifies and gene...
AbstractA Kummer-type transformation formula for the generalized hypergeometric function 2F2 deduced...
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluen...
AbstractSummations over the positive integers n of the generalized hypergeometric expressions (±1)np...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
Two theorems on the sums of generalized hypergeometric functions have been established. The theorems...
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
We consider the confluent hypergeometric function M(a, b; z) for z ∈ C and Rb >Ra > 0, and the confl...
We deduce an explicit representation for the coefficients in a finite expansion of a certain class o...
AbstractThe existing list of reducible cases of double hypergeometric functions is supplemented by t...
In an earlier paper the author has established two theorems on generalized hypergeometric functions....
We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the ca...
AbstractA hypergeometric transformation formula is developed that simultaneously simplifies and gene...
AbstractA Kummer-type transformation formula for the generalized hypergeometric function 2F2 deduced...
AbstractThe possibility of extending to generalized hypergeometric functions a sum rule for confluen...
AbstractSummations over the positive integers n of the generalized hypergeometric expressions (±1)np...
AbstractWe derive summation formulas for generalized hypergeometric series of unit argument, one of ...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractA consideration of odd and even terms of hypergeometric series of higher order leads to new ...
Two theorems on the sums of generalized hypergeometric functions have been established. The theorems...
Some of the functions mentioned in a recent paper may be expressed in terms of known functions
AbstractA general result involving the generalized hypergeometric function is deduced by the element...
We consider the confluent hypergeometric function M(a, b; z) for z ∈ C and Rb >Ra > 0, and the confl...
We deduce an explicit representation for the coefficients in a finite expansion of a certain class o...
AbstractThe existing list of reducible cases of double hypergeometric functions is supplemented by t...
In an earlier paper the author has established two theorems on generalized hypergeometric functions....
We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the ca...
AbstractA hypergeometric transformation formula is developed that simultaneously simplifies and gene...
AbstractA Kummer-type transformation formula for the generalized hypergeometric function 2F2 deduced...
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