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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a8pt.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {7/2, 15/4}, -z] == (1/(329923952640 z^(11/4))) (Sqrt[Pi] (18602008425 - 85037752800 z + 161976672000 z^2 + 314136576000 z^3 + 50261852160 z^4 + 1881145344 z^5 + 16777216 z^6) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-4150741725 + 7464759120 z + 19090091520 z^2 + 3119751168 z^3 + 117374976 z^4 + 1048576 z^5) Cos[2 Sqrt[z]] + (2100813975 - 14405040 z + 17087915520 z^2 + 3035013120 z^3 + 116588544 z^4 + 1048576 z^5) 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