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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=17/4





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









  


  








Input Form





Hypergeometric2F1[7/4, 17/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(23/2)) (2 (528 + 6720 z + 40415 z^2 + 154983 z^3 + 440453 z^4 + 1092377 z^5 + 17643265 z^6 - 8646623 z^7 - 51765 z^8 - 2465 z^9)) + (1/(1 + z)^11) (1056 + 12912 z + 74506 z^2 + 274261 z^3 + 752323 z^4 + 1838694 z^5 - 20339312 z^6 + 4025345 z^7 + 204595 z^8 + 9860 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