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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=-9/4





http://functions.wolfram.com/07.22.03.7525.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(9/4), 21/4}, -z] == (1/(6291456 z^(17/4))) (221 (2 z^(1/4) (-79053975 + 34428240 z - 7176960 z^2 + 860160 z^3 - 96768 z^4 + 8192 z^5) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-79053975 + 55509300 z - 12610080 z^2 + 1542720 z^3 - 174080 z^4 + 16384 z^5) Cos[2 Sqrt[z]] + (79053975 - 160914600 z + 58514400 z^2 - 9327360 z^3 + 983040 z^4 - 131072 z^5) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-79053975 + 160914600 z - 58514400 z^2 + 9327360 z^3 - 983040 z^4 + 131072 z^5) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-79053975 + 55509300 z - 12610080 z^2 + 1542720 z^3 - 174080 z^4 + 16384 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