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variants of this functions
HypergeometricPFQRegularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Identities > Functional identities > Relations between contiguous functions





http://functions.wolfram.com/07.32.17.0013.01









  


  










Input Form





HypergeometricPFQRegularized[{a, b, c, Subscript[a, 4], \[Ellipsis], Subscript[a, p]}, {d, e, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z] - ((a b (d - c) (e - c))/((a - c) (b - c))) HypergeometricPFQRegularized[{a + 1, b + 1, c, Subscript[a, 4], \[Ellipsis], Subscript[a, p]}, {d + 1, e + 1, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z] - ((a c (d - b) (e - b))/((a - b) (c - b))) HypergeometricPFQRegularized[ {a + 1, b, c + 1, Subscript[a, 4], \[Ellipsis], Subscript[a, p]}, {d + 1, e + 1, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z] - ((b c (d - a) (e - a))/((b - a) (c - a))) HypergeometricPFQRegularized[ {a, b + 1, c + 1, Subscript[a, 4], \[Ellipsis], Subscript[a, p]}, {d + 1, e + 1, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, 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





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