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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Identities > Functional identities > Division on even and odd parts and generalization





http://functions.wolfram.com/07.20.17.0016.01









  


  








Input Form





Hypergeometric1F1[a, b, z] == SuperPlus[A][z] + SuperMinus[A][z] /; SuperPlus[A][z] == HypergeometricPFQ[{a/2, (a + 1)/2}, {1/2, b/2, (b + 1)/2}, z^2/4] && SuperMinus[A][z] == ((a z)/b) HypergeometricPFQ[{(a + 1)/2, (a + 2)/2}, {3/2, (b + 1)/2, (b + 2)/2}, z^2/4]








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