Polylogarithms and associated functions
WebPolylogarithms And Associated Functions Leonard Lewin, More Missouri Ghosts Joan Gilbert, United States Congressional Serial Set, Issue 6889 Anonymous, Superman: The … WebIt is well known that integrals of products of polylogarithmic functions can be associated with Euler sums, ... the authors explore linear combinations of associated harmonic polylogarithms and nested harmonic numbers. The multiple zeta value data mine, computed by Blumlein et al. , is an invaluable tool for the evaluation of harmonic ...
Polylogarithms and associated functions
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WebLeonard Lewin: Polylogarithms and Associated Functions (2nd Edition) Published $1981$, North-Holland Publishing Co., New York-Amsterdam. BiBTeX @book {MR618278, … In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or a rational function. In quantum statistics, the polylogarithm function appears as the closed form of integrals of the Fermi–Dir…
WebJan 22, 2024 · Description. Compute the polylogarithm function Li_s (z) , initially defined as the power series, Li_ {s+1} (z) = Int [0..z] (Li_s (t) / t) dt. Currently, mainly the case of … WebApr 12, 2024 · In this paper, we introduce and study a new subclass S n β,λ,δ,b (α), involving polylogarithm functions which are associated with differential operator. we also obtain coefficient estimates ...
WebThe dilogarithm Li_2(z) is a special case of the polylogarithm Li_n(z) for n=2. Note that the notation Li_2(x) is unfortunately similar to that for the logarithmic integral Li(x). There are … WebBy clicking download,a status dialog will open to start the export process. The process may takea few minutes but once it finishes a file will be downloadable from your browser. You …
WebPolylogarithms and associated functions, by Leonard Lewin, North-Holland, Amsterdam, 1981, xvii + 359 pp., $54.95. Dilogarithms and associated functions [5] was the first …
WebThe "default" method uses the dilog or complex_dilog function from package gsl , respectively when \(s = 2\). Also compute the Debye_n functions, for \(n=1\) and \(n=2\), … fixed base operations aviationWebGet A Copy. Amazon. Stores . Libraries. Hardcover, 359 pages. Published by North-Holland. More Details... Edit Details. To ask other readers questions about Polylogarithms And … fixed base operators floridaWebApr 12, 2024 · In this paper, we investigate some properties for the class)) ((, z n associated with the operator) (, z f D n and introduced the new subclass of polylogarithms functions … can man front street binghamtonWebThe dilogarithm function (sometimes called Euler’s dilogarithm function) is a special case of the polylogarithm that can be traced back to the works of Leonhard Euler. The function re … fixed base method and chain base methodWebApr 11, 2024 · V arious Series related to the Polylogarithmic Function V uk Stojiljkovi´ c 1,‡ , Nicola Fabiano 2,‡ , Mirjana Pantovi ´ c 3,‡ , Slobodan Radojevi´ c 4,‡ , Stojan Radenovi´ c … can mango be refrigeratedWebThe GSL (GNU Scientific Library) apparently only has the dilogarithm function. However following a hint from @J.M. one finds the Debye function which gives the ulterior integral … can man get tested for hpvWebApr 10, 2024 · arXiv:2304.03349v1 [math.NT] 6 Apr 2024 Relations for the difference of two dilogarithms Jean-Christophe Pain1 ,2∗ 1CEA, DAM, DIF, F-91297 Arpajon, France 2Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France can mange tout be frozen