The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Experience with truncated power series
ACM SIGSAM Bulletin
A MACSYMA solution to problem 8
ACM SIGSAM Bulletin
The SCRATCHPAD power series package
ACM SIGSAM Bulletin
LISP 1.5 Programmer's Manual
Enlarging the REDUCE domain of computation
SYMSAC '86 Proceedings of the fifth ACM symposium on Symbolic and algebraic computation
Univariate power series expansions in REDUCE
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
Symbolic Computation of Padé Approximants
ACM Transactions on Mathematical Software (TOMS)
A note on the complexity of algebraic differentiation
ACM SIGSAM Bulletin
A symbolic limit evaluation program in REDUCE
ACM SIGSAM Bulletin
Symbolic computation of residues at poles and essential singularities
ACM SIGSAM Bulletin
ACM Communications in Computer Algebra
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In this paper we present a complete algorithm for the determination of univariate power series expansions of meromorphic functions on a Riemann surface. The difficulties involved when expanding at singularities of various forms are discussed. We demonstrate how to use these techniques to calculate limits and as an aid in solving polynomial equations. Finally we discuss several of the implementations of power series manipulation systems with special emphasis on the implementation in MACSYMA.