Download e-book for iPad: Computer mathematics : proceedings of the Sixth Asian by Ziming Li; William Y Sit (eds.)

By Ziming Li; William Y Sit (eds.)

ISBN-10: 9812382208

ISBN-13: 9789812382207

Released in honour of Professor Gu Chaohao, this paintings covers matters heavily with regards to differential geometry, partial differential equations and mathematical physics, the foremost components during which Professor Gu has bought outstanding achievements at the department of Generalized Polynomials (N Aris & A Rahman); On One estate of Hurwitz Determinants (L Burlakova); mixing Quadric Surfaces through a Base Curve procedure (J Cheng); An Exploration of Homotopy fixing in Maple (K Hazaveh et al.); a whole Maple package deal for Noncommutative Rational energy sequence (V Houseaux et al.); Implicitization of Polynomial Curves (I S Kotsireas & E S C Lau); Discrete finished Grobner Bases, II (Y Sato et al.); Displacement constitution in Computing Approximate GCD of Univariate Polynomials (L Zhi); and different papers

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Extra resources for Computer mathematics : proceedings of the Sixth Asian Symposium (ASCM 2003), Beijing, China, 17-19 April 2003

Example text

4, Then M is holonomic outside the hypersurface defined by q = 0. This implies that f is holonomic in the same way as in the proof of the preceding proposition. 6. For two polynomials fi(z),fi(z)in C l z ~ ,. ,z,], put f(x) = exp(fl(x)/fZ(z)). The system of differential equations M above is not holonomic in general (consider, for example, exp(l/(zf - zzx,"))). A holonomic system for f(x) can be found by the method in [14]. Let f be a holonomic function. By definition, it is a multi-valued analytic function defined on C n \ S.

Hence, there exists a submodule J such that D$';'/J N M y ; J is a system of equations for u(z',0), (d,u)(x',0), . . , (a$u)(z',0), where x' = (21,. . ,~ ~ - 1 ) . An algorithm of finding generators of J from those of I is given in [12]. By 82. 21, we can find a system of equations for u(z’,O) from J . Take an integer m such that 0 I m < n. Let Z be the algebraic set { ( X I , . . , 2,) I x,+1 = . . = z, = 0) and M a left D,-module DL/I where I is a left submodule of DL. The restriction of M to Z is defined by M/(x,+lM ...

W. Schafer. Discrete-Time Signal Processing. Prentice Hall, 1989. 17. M. Petkovsek, H. S. Wilf, D. Zeilberger. A = B. , 1996. 18. W. Press, S. Teukolsky, W. Vetterling, B. Flannery. Numerical Recipes in C++. Cambridge University Press, 1988. 19. M. Saito, B. Sturmfels, N. Takayama. Grobner Deformations of Hypergeometric Differential Equations. Springer, 2000. 20. N. Takayama. An algorithm of constructing the integral of a module, Proceedings of International Symposium on Symbolic and Algebraic Computation (1990), 206-211.

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Computer mathematics : proceedings of the Sixth Asian Symposium (ASCM 2003), Beijing, China, 17-19 April 2003 by Ziming Li; William Y Sit (eds.)

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