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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=11/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, 19/4}, -z] == (1/(3665821696 z^(9/2))) (63 (Sqrt[Pi] z^(3/4) (-582968925 + 605682000 z - 251712000 z^2 + 89497600 z^3 + 37683200 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 (4 Sqrt[z] (-32256000 + 39149025 z - 15981120 z^2 + 5178880 z^3 + 2342912 z^4 + 65536 z^5) Cos[2 Sqrt[z]] + (64512000 + 30008925 z - 14444160 z^2 + 3627520 z^3 + 2293760 z^4 + 65536 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