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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==infinity for polynomial cases





http://functions.wolfram.com/07.32.06.0026.01









  


  








Input Form





HypergeometricPFQRegularized[{-n, Subscript[a, 2], Subscript[a, 3], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (Product[Pochhammer[Subscript[a, k], n], {k, 2, p}]/ Product[Gamma[Subscript[b, k] + n], {k, 1, q}]) (-z)^n HypergeometricPFQ[{-n, 1 - n - Subscript[b, 1], \[Ellipsis], 1 - n - Subscript[b, q]}, {1 - n - Subscript[a, 2], 1 - n - Subscript[a, 3], \[Ellipsis], 1 - n - Subscript[a, p]}, (-1)^(p + q - 1)/z] /; Element[n, Integers] && n > 0








Standard Form





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MathML Form







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





2001-10-29