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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Series representations > Main terms of asymptotic expansions





http://functions.wolfram.com/07.32.06.0042.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] \[Proportional] c (1 + O[z - 1]) + d (1 - z)^Subscript[\[Psi], q] (1 + O[z - 1]) /; (z -> 1) && Subscript[\[Psi], q] == Sum[Subscript[b, j], {j, 1, q}] - Sum[Subscript[a, j], {j, 1, q + 1}] && c == HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, 1] && d == Gamma[-Subscript[\[Psi], q]]/Product[Gamma[Subscript[a, k]], {k, 1, q + 1}] && !Element[Subscript[\[Psi], q], Integers]








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