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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Identities > Functional identities > Relations between contiguous functions





http://functions.wolfram.com/07.27.17.0018.01









  


  










Input Form





(a + z (Subscript[a, 2] + Subscript[a, 3] - d - e)) HypergeometricPFQ[{a, Subscript[a, 2], Subscript[a, 3]}, {d, e}, z] + (((d - a) (d - Subscript[a, 2]) (d - Subscript[a, 3]) z)/(d (d - e))) HypergeometricPFQ[{a, Subscript[a, 2], Subscript[a, 3]}, {d + 1, e}, z] + (((e - a) (e - Subscript[a, 2]) (e - Subscript[a, 3]) z)/(e (e - d))) HypergeometricPFQ[{a, Subscript[a, 2], Subscript[a, 3]}, {d, e + 1}, z] == a (1 - z) HypergeometricPFQ[{a + 1, Subscript[a, 2], Subscript[a, 3]}, {d, e}, z]










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





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