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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-21/4





http://functions.wolfram.com/07.22.03.7689.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(21/4), -(3/4)}, -z] == (1/37592100) (37592100 - 57283200 z + 220137750 z^2 + 41794920 z^3 - 2820000 z^4 + 3111936 z^5 - 8192 z^6 - Sqrt[Pi] z^(7/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-204417675 - 28317600 z + 5663520 z^2 - 3179520 z^3 + 8192 z^4) Cos[2 Sqrt[z]] + 135 (1514205 - 1809180 z - 860016 z^2 - 200192 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] z^(7/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-135 (1514205 - 1809180 z - 860016 z^2 - 200192 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-204417675 - 28317600 z + 5663520 z^2 - 3179520 z^3 + 8192 z^4) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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</math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02