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variants of this functions
Hypergeometric0F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/07.17.16.0002.01









  


  








Input Form





Hypergeometric0F1[b, c z] Hypergeometric0F1[\[Beta], d z] == Sum[Subscript[c, k] z^k, {k, 0, Infinity}] /; Subscript[c, k] == (d^k/(k! Pochhammer[\[Beta], k])) HypergeometricPFQ[{-k, 1 - \[Beta] - k}, {b}, c/d] || Subscript[c, k] == (c^k/(k! Pochhammer[b, k])) HypergeometricPFQ[{-k, 1 - b - 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