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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=15/8, b>=a > For fixed z and a=15/8, b=43/8





http://functions.wolfram.com/07.23.03.c5ky.01









  


  








Input Form





Hypergeometric2F1[15/8, 43/8, -(17/4), z] == -((-1209312 (1 + Sqrt[1 - z]) + 35568 (478 + 461 Sqrt[1 - z]) z - 342 (342567 + 319037 Sqrt[1 - z]) z^2 + 57 (9685996 + 8763517 Sqrt[1 - z]) z^3 - 399 (5752114 + 5157881 Sqrt[1 - z]) z^4 + 8778 (2441856 + 2331037 Sqrt[1 - z]) z^5 + 22 (1378740383 + 938844334 Sqrt[1 - z]) z^6 + 268345 (11740 + 673 Sqrt[1 - z]) z^7 - 268345 (978 + 71 Sqrt[1 - z]) z^8 + 195160 (137 + 6 Sqrt[1 - z]) z^9 - 1561280 z^10)/ (1209312 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(23/2)))








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