On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
- Author
- COFFEY, Mark W1
[1] Department of Physics, Colorado School of Mines, 16th and Illinois Sts, Golden, CO 80401, United States - Source
Journal of computational and applied mathematics. 2005, Vol 183, Num 1, pp 84-100, 17 p ; ref : 29 ref
- CODEN
- JCAMDI
- ISSN
- 0377-0427
- Scientific domain
- Computer science; Mathematics
- Publisher
- Elsevier, Amsterdam
- Publication country
- Netherlands
- Document type
- Article
- Language
- English
- Author keyword
- 11M Gamma function 33B 33E Clausen function Digamma function Dilogarithm function Euler sums Harmonic numbers Hurwitz zeta function Hypergeometric function Polygamma function Polylogarithm function Riemann zeta function Trilogarithm function
- Keyword (fr)
- Fonction Riemann Fonction gamma Fonction hypergéométrique Fonction zêta Mathématiques appliquées Nombre entier Polynôme Hurwitz Représentation intégrale Sommation Théorie quantique champ Théorie quantique Fonction Clausen Fonction digamma Fonction dilogarithme Fonction polygamma Fonction polylogarithme Nombre harmonique Somme Euler
- Keyword (en)
- Riemann function Gamma function Hypergeometric function Zeta function Applied mathematics Integer Hurwitz polynomial Integral representation Summation Quantum field theory Quantum theory Clausen function Dilogarithme function Polylogarithm function Euler sum
- Keyword (es)
- Función Riemann Función gama Función hipergeométrica Función zeta Matemáticas aplicadas Entero Polinomio Hurwitz Representación integral Sumación Teoría cuántica campo Teoría cuántica
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02C Algebra / 001A02C02 Number theory
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E06 Special functions
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 16958314
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
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DOI
10.1016/j.cam.2005.01.003 
https://dx.doi.org/10.1016/j.cam.2005.01.003
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