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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] > Series representations > Generalized power series > Expansions at z==infinity for polynomial cases





http://functions.wolfram.com/07.26.06.0004.01









  


  








Input Form





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








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