Symbolic expansion of transcendental functions

作     者：Weinzierl, S 

作者机构：Univ Parma Dipartimento Fis Ist Nazl Fis Nucl Grp Collegato Parma I-43100 Parma Italy 

出 版 物：《COMPUTER PHYSICS COMMUNICATIONS》 (计算机物理学通讯)

年 卷 期：2002年第145卷第3期

页      面：357-370页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：TRANSCENDENTAL functions FEYNMAN integrals QUANTUM field theory 

摘      要：Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic expansion of certain classes of functions. The algorithms are based on the Hopf algebra of nested sums. The program is written in C++ and uses the GiNaC library. (C) 2002 Elsevier Science B.V. All rights reserved.