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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.22.17.0015.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1]}, {Subscript[b, 1], Subscript[b, 2]}, z] == SuperPlus[A][z] + SuperMinus[A][z] /; SuperPlus[A][z] == HypergeometricPFQ[{Subscript[a, 1]/2, (Subscript[a, 1] + 1)/2}, {1/2, Subscript[b, 1]/2, Subscript[b, 2]/2, (Subscript[b, 1] + 1)/2, (Subscript[b, 2] + 1)/2}, z^2/16] && SuperMinus[A][z] == ((z Subscript[a, 1])/(Subscript[b, 1] Subscript[b, 2])) HypergeometricPFQ[{(Subscript[a, 1] + 1)/2, (Subscript[a, 1] + 2)/2}, {3/2, (Subscript[b, 1] + 1)/2, (Subscript[b, 2] + 1)/2, (Subscript[b, 1] + 2)/2, (Subscript[b, 2] + 2)/2}, z^2/16]










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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