A study of alternative methods for the symbolic calculation of elliptic integrals

Authors:
Edward W. Ng;Desanka Polajnar
Affiliations:
-;-
Venue:
SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
Year:
1976

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Abstract

This presentation describes the study of several candidate methods for the symbolic integration of a class of irrational expressions R(x,y), where y2 is a polynomial in x and R is a rational function of x and y. Three of these methods came from classical investigations of Legendre, Jacobi, and Weierstrass whereas one came from recent investigations of Carlson. The present paper may be considered a progress report on preliminary algorithmic study and some efforts of implementation on MACSYMA. In this presentation, we describe the study of several candidate methods for the symbolic integration of a class of irrational expressions R(x,y), where y2 is a polynomial in x and R is a rational function of x and y. We shall also summarize some efforts of implementation on MACSYMA.