A Kummer-type transformation for a 2 F 2 hypergeometric function
By Richard B. Paris. 2005
46 citations recorded by the source corpus.
We obtain a Kummer-type transformation for the 2 F 2 ( x ) hypergeometric function with general parameters in the form of a sum of 2 F 2 ( - x ) functions. This result is specialised to the case where one pair of parameters differs by unity to generalize a recent result of Miller (J. Comput. Appl. Math. 157 (2003) 507).
Subfields: Applied Mathematics, Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/44c1170368c5a3d6df497bc69b0194724b1a727e
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In Applied Mathematics
In Computational Mechanics
In Numerical Analysis
Citations in the corpus
- Transformation formulas for the generalized hypergeometric function with integral parameter differences (2013, methodology): “When r = 1, the transformation (1.14) reduces to the result due to Rathie and Paris [8] 3F2 ( a, b, c, f + 1 f ∣∣∣∣x) = (1− x)−a 3F2( a, c− b− 1,c, ξ + 1ξ ∣∣∣∣ xx− 1 ) , (1.16) where ξ is given by (1.13).”