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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-17/4





http://functions.wolfram.com/07.22.03.7161.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(17/4), 17/4}, -z] == (1/(208896 z^(13/4))) (2 z^(1/4) (91216125 - 40540500 z + 8814960 z^2 - 1285248 z^3 + 152832 z^4 - 4096 z^5) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-91216125 + 64864800 z - 15301440 z^2 + 2280960 z^3 - 287232 z^4 + 8192 z^5) Cos[2 Sqrt[z]] - 33 (-2764125 + 5651100 z - 2101680 z^2 + 362880 z^3 - 52480 z^4 + 4096 z^5) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (33 (-2764125 + 5651100 z - 2101680 z^2 + 362880 z^3 - 52480 z^4 + 4096 z^5) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-91216125 + 64864800 z - 15301440 z^2 + 2280960 z^3 - 287232 z^4 + 8192 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