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variants of this functions
Hypergeometric0F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1Regularized[b,z] > Identities > Functional identities > Division on even and odd parts and generalization





http://functions.wolfram.com/07.18.17.0009.01









  


  










Input Form





Hypergeometric0F1Regularized[b, z] == SuperPlus[A][z] + SuperMinus[A][z] /; SuperPlus[A][z] == 2^(1 - b) Pi HypergeometricPFQRegularized[{}, {1/2, b/2, (b + 1)/2}, z^2/16] && SuperMinus[A][z] == 2^(-1 - b) Pi z HypergeometricPFQRegularized[{}, {3/2, (b + 1)/2, (b + 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