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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.31.17.0009.01









  


  










Input Form





Product[Subscript[b, k], {k, 1, q}] (HypergeometricPFQ[{a, b + 1, Subscript[a, 3], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] - HypergeometricPFQ[{a + 1, b, Subscript[a, 3], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z]) + z (b - a) Product[Subscript[a, j], {j, 3, p}] HypergeometricPFQ[{a + 1, b + 1, Subscript[a, 3] + 1, \[Ellipsis], Subscript[a, p] + 1}, {Subscript[b, 1] + 1, \[Ellipsis], Subscript[b, q] + 1}, z] == 0










Standard Form





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MathML Form







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





2001-10-29