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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=7/4, b>=a > For fixed z and a=7/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 21/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(25/2)) (1056 + 14832 z + 99506 z^2 + 431389 z^3 + 1409692 z^4 + 4109339 z^5 + 87238638 z^6 - 54136557 z^7 - 553320 z^8 - 52635 z^9 - 2900 z^10) + (1/(1 + z)^12) (2 (528 + 7152 z + 46243 z^2 + 193434 z^3 + 613483 z^4 + 1769482 z^5 - 26487347 z^6 + 7151110 z^7 + 540705 z^8 + 51910 z^9 + 2900 z^10))))








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