Academic
Publications
Maple package on formal power series

Maple package on formal power series,D. Gruntz,W. Koepf

Maple package on formal power series   (Citations: 8)
BibTex | RIS | RefWorks Download
Published in 1995.
Cumulative Annual
    • ...for F(t) and convert this differential equation into the above holonomic recurrence equation for the corresponding series coefficients by the Maple FPS package (see [12] and [14])...

    Hamza Chaggaraet al. Duplication coefficients via generating functions

    • ...If the result is simple enough, the FPS (formal power series) procedure of the Maple package FPS.mpl ([7], [5], [6]) computes this series, even if it is a Laurent series (including negative powers) or Puiseux series (including rational powers)...

    Wolfram Koepf. Power series, Bieberbach conjecture and the de Branges and Weinstein f...

    • ...> det([[1,2*a,3],[5,6,7],[9,10,11]]); 16 + 16a and the eigenvalues and eigenvectors for a = 1: > eigenvalues([[1,2,3],[5,6,7],[9,10,11]]); 0, 9 + p 105, 9 p 105...
    • ...> det([[1,2*a,3],[5,6,7],[9,10,11]]); 16 + 16a and the eigenvalues and eigenvectors for a = 1: > eigenvalues([[1,2,3],[5,6,7],[9,10,11]]); 0, 9 + p 105, 9 p 105...
    • ...> eigenvectors([[1,2,3],[5,6,7],[9,10,11]]);...
    • ...After loading the FPS package [10] > with(share): with(FPS):...
    • ...The algorithm behind this procedure is the following ([14], [10]):...

    Wolfram Koepf. Software for the Algorithmic Work with Orthogonal Polynomials and Spec...

    • ...This differential equation can be found using a method given in [20]–[21], whereas the sum algorithm generates the second order differential equation...
    • ...This result can also be obtained by the method given in [20]–[21]...

    Wolfram Koepf. The algebra of holonomic equations

    • ...Let us remark that as a general reference we use the book [11], the computer algebra system Maple [16], [4] and the Maple packages FPS [9], [7], gfun [19], hsum [11], infhsum [22], hsols [21], qsum [2] and retode [13]...
    • ...hence ak = 1 k! . If the result is simple enough, the FPS (formal power series) procedure of the Maple package FPS.mpl ([9], [7]) computes this series, even if it is a Laurent series (including negative powers) or Puiseux series (including rational powers)...

    Wolfram Koepf. Computer Algebra Algorithms for Orthogonal Polynomials and Special Fun...

Sort by: