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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=2, a3>=2 > For fixed z and a1=-5/2, a2=2, a3=2 > For fixed z and a1=-5/2, a2=2, a3=2, b1=-1/2





http://functions.wolfram.com/07.27.03.ac89.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 2, 2}, {-(1/2), 3/2}, -z] == (1296 - 17200 z - 6750 Pi^2 z^(3/2) - 44100 z^2 - 11025 Pi^2 z^(5/2))/1536 + (1/(3072 (1 + z)^(11/2))) ((-3072 + 44224 z + 618544 z^2 + 2694688 z^3 + 5856640 z^4 + 7241715 z^5 + 5197470 z^6 + 2025165 z^7 + 332430 z^8) Log[1 + Sqrt[z] - Sqrt[1 + z]]) + (1/(3072 (1 + z)^(11/2))) ((3072 - 44224 z - 618544 z^2 - 2694688 z^3 - 5856640 z^4 - 7241715 z^5 - 5197470 z^6 - 2025165 z^7 - 332430 z^8) Log[1 - Sqrt[z] + Sqrt[1 + z]]) - (5 (-4 + 52 z + 695 z^2 + 735 z^3) Log[Sqrt[z] + Sqrt[1 + z]])/ (128 Sqrt[z] Sqrt[1 + z]) + (1/(3072 (1 + z)^(11/2))) ((3072 - 44224 z - 618544 z^2 - 2694688 z^3 - 5856640 z^4 - 7241715 z^5 - 5197470 z^6 - 2025165 z^7 - 332430 z^8) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])]) - (75/128) (30 z^(3/2) + 49 z^(5/2)) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])] - (75/128) (30 z^(3/2) + 49 z^(5/2)) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))] + (75/128) (30 z^(3/2) + 49 z^(5/2)) PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + 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