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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=21/4, b>=a > For fixed z and a=21/4, b=23/4





http://functions.wolfram.com/07.23.03.ann7.01









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, -(7/2), -z] == (1/(16 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^14) (2 (4 + 90 z + 1127 z^2 + 12168 z^3 - 1748747 z^4 + 5535010 z^5 - 4408607 z^6 + 971932 z^7 - 42657 z^8)) + (1/(1 + z)^(29/2)) (8 + 184 z + 2343 z^2 + 25441 z^3 + 4403971 z^4 - 18653739 z^5 + 20376853 z^6 - 6847261 z^7 + 607353 z^8 - 6417 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