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variants of this functions
Hypergeometric1F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/07.20.16.0003.01









  


  










Input Form





Hypergeometric1F1[a, b, c z] Hypergeometric1F1[\[Alpha], \[Beta], d z] == Sum[Subscript[c, k] z^k, {k, 0, Infinity}] /; Subscript[c, k] == ((d^k Pochhammer[\[Alpha], k])/ (k! Pochhammer[\[Beta], k])) HypergeometricPFQ[{-k, 1 - \[Beta] - k, a}, {1 - \[Alpha] - k, b}, -(c/d)] || Subscript[c, k] == ((c^k Pochhammer[a, k])/(k! Pochhammer[b, k])) HypergeometricPFQ[{-k, 1 - b - k, \[Alpha]}, {1 - a - k, \[Beta]}, -(d/c)]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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