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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Series representations > Generalized power series > Expansions at z==0





http://functions.wolfram.com/07.32.06.0001.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (1/Product[Gamma[Subscript[b, j]], {j, 1, q}]) (1 + (Product[Subscript[a, j], {j, 1, p}]/Product[Subscript[b, j], {j, 1, q}]) z + (Product[Subscript[a, j] (1 + Subscript[a, j]), {j, 1, p}]/(2 Product[Subscript[b, j] (1 + Subscript[b, j]), {j, 1, q}])) z^2 + \[Ellipsis]) /; (q == p - 1 && Abs[z] < 1) || q >= p








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