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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Specific values > For fixed z > For fixed z and b=m/3





http://functions.wolfram.com/07.17.03.0047.01









  


  










Input Form





Hypergeometric0F1[-(16/3), -z] == (1/(116480 3^(5/6))) ((Sqrt[3] (-58240 + 163800 z - 34020 z^2 + 729 z^3) AiryAi[(-3^(2/3)) z^(1/3)] + 15 (-1)^(1/3) 3^(1/6) (-1 + (-3)^(1/6)) (1 + (-3)^(1/6) + (-3)^(1/3)) z^(1/3) (5824 - 3276 z + 243 z^2) AiryAiPrime[(-3^(2/3)) z^(1/3)] + (-58240 + 163800 z - 34020 z^2 + 729 z^3) AiryBi[(-3^(2/3)) z^(1/3)] + 5 (-1)^(1/3) 3^(1/6) (3 I - Sqrt[3]) z^(1/3) (5824 - 3276 z + 243 z^2) AiryBiPrime[(-3^(2/3)) z^(1/3)]) Gamma[-(1/3)])










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)





2007-05-02