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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=7/2





http://functions.wolfram.com/07.22.03.9547.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {7/2, -(7/4)}, -z] == (1/(6783285600 z^(5/2))) (2 Sqrt[z] (-1964187225 - 924323400 z + 323205120 z^2 - 140359680 z^3 + 195624960 z^4 + 17809408 z^5 + 262144 z^6) Cos[2 Sqrt[z]] + 16384 Sqrt[Pi] z^(21/4) (206625 + 17632 z + 256 z^2) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - (-1964187225 + 1694592900 z - 1137628800 z^2 + 392555520 z^3 - 263454720 z^4 + 1666449408 z^5 + 144048128 z^6 + 2097152 z^7) 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