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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Identities > Recurrence identities > Distant neighbors with respect to q





http://functions.wolfram.com/07.31.17.0001.01









  


  










Input Form





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










Standard Form





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MathML Form







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





2001-10-29





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