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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=11/4





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









  


  








Input Form





Hypergeometric2F1[5/4, 11/4, -(11/2), -z] == (Sqrt[z] (-2622 z^8 + z^6 (542510 - 243358 Sqrt[1 + z]) + 1311 z^7 (-58 + Sqrt[1 + z]) + 224 (1 + Sqrt[1 + z]) + 11054 z^4 (5 + 4 Sqrt[1 + z]) + 112 z (20 + 19 Sqrt[1 + z]) + 14 z^2 (731 + 657 Sqrt[1 + z]) + 14 z^5 (6082 + 4683 Sqrt[1 + z]) + 3 z^3 (9502 + 8053 Sqrt[1 + z])))/(448 Sqrt[2] (1 + z)^(19/2) Sqrt[-1 + Sqrt[1 + z]])








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