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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-21/4





http://functions.wolfram.com/07.22.03.7397.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(21/4), -(7/4)}, -z] == (1/13157235) (13157235 - 7160400 z + 6739200 z^2 - 23122800 z^3 - 4360704 z^4 - 1853952 z^5 + 8192 z^6 - 8 Sqrt[Pi] z^(11/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-27 (98325 - 115368 z - 47104 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-2654775 - 424764 z - 238464 z^2 + 1024 z^3) Sin[2 Sqrt[z]]) + 8 Sqrt[Pi] z^(11/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-2654775 - 424764 z - 238464 z^2 + 1024 z^3) Cos[2 Sqrt[z]] + 27 (98325 - 115368 z - 47104 z^2 + 2048 z^3) 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