Dilogarithms and associated functions.
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Dilogarithms and associated functions.

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Published by Macdonald in London .
Written in English


  • Dilogarithms.

Book details:

Edition Notes

Includes bibliography.

StatementForeword by J.C.P. Miller.
LC ClassificationsQA351 .L5
The Physical Object
Pagination353 p.
Number of Pages353
ID Numbers
Open LibraryOL6266139M
LC Control Number59001206

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opening the book at random to p. , which shows the smallest nonhamiltonian maximal planar graph (Fig. 3). This is an excellent reference book for the researcher in graph theory and its applications. Like the dictionary, it cannot be read straight through from cover to cover, but is clearly and carefully written and contains a wealth of examples. FIG. CHAPTER 8. INTEGRATION OF FUNCTIONS AND SUMMATION OF SERIES Reduction of a Class of Algebraic and Logarithmic Expressions Reduction of Trigonometric Forms Summation of Series Integrals from the Higher-Order Functions Definite Trigonometric Integrals APPENDIX. REFERENCE DATA AND TABLES A Glossary of Notation A The dilogarithm function, defined in the first sentence of Chapter I, is a function which has been known for more than years, but which for a long time was familiar only to a few enthusiasts. Polylogarithms and associated functions. New York: North Holland. MLA Citation. Lewin, Leonard. Polylogarithms and associated functions / Leonard Lewin North Holland New York Australian/Harvard Citation. Lewin, Leonard. , Polylogarithms and associated functions / Leonard Lewin North Holland New York. Wikipedia Citation.

The study of motivic cohomology of a projective plane with two distinguished families of projective lines leads to an analogous problem: to describe a group of linear combinations of pairs of triangles on a plane considered up to the action of PGL(3), with respect to a cutting of any triangle of a by: Since a modular function must have an expansion e c/h+O (1) with c ∈ Qπ 2, this already gives a strong indication of a relation between the modularity of Nahm sums and the vanishing (up to torsion) of the associated elements of Bloch groups. Author: Don Zagier. The dilogarithm function is defined for by which is a special case of the polylogarithm. Dilogarithm. The dilogarithm is a special case of the polylogarithm that the notation is unfortunately similar to that for the logarithmic are also two different commonly encountered normalizations for the function, both denoted, and one of which is known as the Rogers L-function.. The dilogarithm is implemented in the Wolfram Language as PolyLog[2, z].

Additional Physical Format: Online version: Lewin, Leonard, Dilogarithms and associated functions. London, Macdonald [] (OCoLC) The dilogarithm function [], defined by Li 2 (x) = - ∫ x 0 (1/z) ln (1 - z) dz, (1) occurs in several different applications in physics and engineering, ranging from quantum electrodynamics, to network analysis, to the thermodynamics of ideal ferromagnets, to the structure of polymers.A new function subroutine is developed which computes the dilogarithm function of a real argument to an Author: S GinsbergEdward, ZaborowskiDorothy. Book Title Dilogarithms and associated functions: Author(s) Lewin, Leonard: Publication London: MacDonald, - p. Subject code Subject category Mathematical Physics and . The paper is deliberately written in the style of the book Computer Approximations by Hart, Cheney et al. L. Lewin, Dilogarithms and associated functions, Foreword .