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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Identities > Functional identities > Division on even and odd parts and generalization





http://functions.wolfram.com/07.25.17.0019.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, z] == SuperPlus[A][z] + SuperMinus[A][z] /; SuperPlus[A][z] == (1/2) (HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, z] + HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, -z]) && SuperMinus[A][z] == (1/2) (HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, z] - HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, -z])








Standard Form





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Rule Form





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





2001-10-29