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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 4 and fixed z > For fixed z and a=-5/4, b>=a > For fixed z and a=-5/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, -(7/2), -z] == (1/(3536 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(15/2)) (2 (884 + 4862 z + 9061 z^2 + 2652 z^3 + 27070 z^4 + 40142 z^5 + 28721 z^6 + 10512 z^7 + 1584 z^8)) - (1/(1 + z)^7) (-1768 - 8840 z - 13923 z^2 + 663 z^3 + 83975 z^4 + 138741 z^5 + 105560 z^6 + 40464 z^7 + 6336 z^8)))








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