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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 > Functional identities > Relations between contiguous functions





http://functions.wolfram.com/07.28.17.0013.01









  


  








Input Form





Product[Subscript[b, k], {k, 1, 3}] (HypergeometricPFQ[{a, b + 1, Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] - HypergeometricPFQ[{a + 1, b, Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z]) + z (b - a) Subscript[a, 3] Subscript[a, 4] HypergeometricPFQ[ {a + 1, b + 1, Subscript[a, 3] + 1, Subscript[a, 4] + 1}, {Subscript[b, 1] + 1, Subscript[b, 2] + 1, Subscript[b, 3] + 1}, z] == 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