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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Identities > Recurrence identities > Distant neighbors > Decreasing





http://functions.wolfram.com/07.17.17.0004.01









  


  










Input Form





Hypergeometric0F1[b, z] == ((-1)^(n - 1) Pochhammer[1 - b, n] Pochhammer[2 - b, n] (Sum[(((n - k - 1)! (-z)^k)/(k! (n - 2 k - 1)! Pochhammer[2 - b, k] Pochhammer[b - n, k])) Hypergeometric0F1[b - n - 1, z], {k, 0, n - 1}] - Sum[(((n - k)! (-z)^k)/(k! (n - 2 k)! Pochhammer[2 - b, k] Pochhammer[b - 1 - n, k])) Hypergeometric0F1[b - n, z], {k, 0, n - 1}]))/z^n /; Element[n, Integers] && n > 0










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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