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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a9ol.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {11/2, 19/4}, -z] == (1/(263939162112 z^(9/2))) (7 (Sqrt[Pi] z^(3/4) (-141661448775 + 176616871200 z - 91749024000 z^2 + 43495833600 z^3 + 27471052800 z^4 + 1528823808 z^5 + 16777216 z^6) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 (4 Sqrt[z] (-6967296000 + 11172093075 z - 5749878960 z^2 + 2433093120 z^3 + 1699454976 z^4 + 95354880 z^5 + 1048576 z^6) Cos[2 Sqrt[z]] + (13934592000 + 6296840775 z - 4546050480 z^2 + 1426982400 z^3 + 1631232000 z^4 + 94568448 z^5 + 1048576 z^6) 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