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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8593.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), -(1/4)}, -z] == (1/5806080) (Sqrt[Pi] z^(5/4) (24434865 - 13366080 z + 2741760 z^2 - 344064 z^3 + 65536 z^4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 (4 (725760 + 1935360 z - 886725 z^2 + 177072 z^3 - 22272 z^4 + 4096 z^5) Cos[2 Sqrt[z]] + Sqrt[z] (5806080 - 1210545 z + 206640 z^2 - 25344 z^3 + 4096 z^4) Sin[2 Sqrt[z]]))










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