Read More
Date: 25-9-2019
1398
Date: 15-5-2018
1040
Date: 25-4-2019
2051
|
The trilogarithm , sometimes also denoted , is special case of the polylogarithm for . Note that the notation for the trilogarithm is unfortunately similar to that for the logarithmic integral .
The trilogarithm is implemented in the Wolfram Language as PolyLog[3, z].
Plots of in the complex plane are illustrated above.
Functional equations for the trilogarithm include
(1) |
Analytic values for include
(2) |
where is Apéry's constant and is the golden ratio.
Bailey et al. showed that
(3) |
REFERENCES:
Bailey, D. H.; Borwein, P. B.; and Plouffe, S. "On the Rapid Computation of Various Polylogarithmic Constants." Math. Comput. 66, 903-913, 1997.
Lewin, L. Polylogarithms and Associated Functions. New York: North-Holland, pp. 154-156, 1981.
|
|
أمراض منتصف العمر.. "أعراض خطيرة" سببها نقص المغنيسيوم
|
|
|
|
|
لماذا تتناقص أعداد النحل عالميا؟
|
|
|
|
|
ممثل المرجعية العليا: العتبة الحسينية تخطط لإنشاء مراكز متخصصة للكشف المبكر عن (سرطان الثدي) بعموم العراق
|
|
|