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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Identities > Functional identities > Division on even and odd parts and generalization





http://functions.wolfram.com/07.23.17.0052.01









  


  








Input Form





Hypergeometric2F1[a, b, c, z] == SuperPlus[A][z] + SuperMinus[A][z] /; SuperPlus[A][z] == HypergeometricPFQ[{a/2, b/2, (a + 1)/2, (b + 1)/2}, {1/2, c/2, (c + 1)/2}, z^2] && SuperMinus[A][z] == ((a b z)/c) HypergeometricPFQ[{(a + 1)/2, (b + 1)/2, (a + 2)/2, (b + 2)/2}, {3/2, (c + 1)/2, (c + 2)/2}, z^2]








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