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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Identities > Recurrence identities > Distant neighbors with respect to q





http://functions.wolfram.com/07.27.17.0005.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == ((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]])/Gamma[Subscript[a, 3]]) Sum[HypergeometricPFQExpansionCoefficient[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, k] Hypergeometric2F1Regularized[Subscript[a, 1], Subscript[a, 2], Subscript[b, 1] + Subscript[b, 2] - Subscript[a, 3] + k, z], {k, 0, Infinity}]








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