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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.17.17.0003.01









  


  










Input Form





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