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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Identities > Recurrence identities > Distant neighbors with respect to q





http://functions.wolfram.com/07.28.17.0005.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] == (Product[Gamma[Subscript[b, j]], {j, 1, 3}]/ (Gamma[Subscript[a, 3]] Gamma[Subscript[a, 4]])) Sum[HypergeometricPFQExpansionCoefficient[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, k] Hypergeometric2F1Regularized[Subscript[a, 1], Subscript[a, 2], Subscript[\[Psi], 3] + Subscript[a, 1] + Subscript[a, 2] + k, z], {k, 0, Infinity}] /; Subscript[\[Psi], 3] == Sum[Subscript[b, j], {j, 1, 3}] - Sum[Subscript[a, j], {j, 1, 4}]








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