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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.akpf.01









  


  










Input Form





Hypergeometric2F1[7/4, 21/4, -(9/2), -z] == (1/(96 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(23/2)) (48 + 644 z + 4187 z^2 + 18234 z^3 + 66365 z^4 + 1791452 z^5 - 1270459 z^6 - 15510 z^7 - 1645 z^8 - 100 z^9) + (1/(1 + z)^11) (48 + 620 z + 3883 z^2 + 16367 z^3 + 58630 z^4 - 1125358 z^5 + 354375 z^6 + 30235 z^7 + 3240 z^8 + 200 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