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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=7/2





http://functions.wolfram.com/07.22.03.8981.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, 3/4}, -z] == (1/(648903467520 z^(5/2))) (Sqrt[Pi] z^(11/4) (1145835402075 + 1222224428880 z + 228720360960 z^2 + 12239216640 z^3 + 213319680 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 (4 Sqrt[z] (-789434100 - 1804420800 z + 61585090560 z^2 + 73990650825 z^3 + 14156896320 z^4 + 762478080 z^5 + 13320192 z^6 + 65536 z^7) Cos[2 Sqrt[z]] + (1578868200 + 1503684000 z + 33682521600 z^2 + 65405783205 z^3 + 13624934400 z^4 + 752693760 z^5 + 13271040 z^6 + 65536 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