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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/07.18.17.0010.01









  


  










Input Form





Hypergeometric0F1Regularized[b, z] == ((2 Pi)^(n - 1) Sum[(z^k HypergeometricPFQRegularized[{1}, {(k + 1)/n, \[Ellipsis], (k + n)/n, (b + k)/n, \[Ellipsis], (b + k + n - 1)/n}, z^n/n^(2 n)])/n^(2 k), {k, 0, n - 1}])/n^b










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