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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-13/8, b>=a > For fixed z and a=-13/8, b=39/8





http://functions.wolfram.com/07.23.03.bqpj.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, -(17/4), z] == (1/(1163616 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-581808 + 2951820 z - 5067291 z^2 + 1851661 z^3 + 2620275 z^4 - 9363261 z^5 + 9218300 z^6 - 4096512 z^7 + 709632 z^8 + (1/Sqrt[1 - z]) (-581808 + 3242724 z - 6470475 z^2 + 4052692 z^3 + 2166094 z^4 + 33784224 z^5 - 61571467 z^6 + 47905760 z^7 - 18337536 z^8 + 2838528 z^9)))








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