Recent Developments in Complex Analysis and Computer Algebra de R.P. Gilbert

Recent Developments in Complex Analysis and Computer Algebra: This conference was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134: International Society for Analysis, Applications and Computation, cartea 4

R.P. Gilbert

Joji Kajiwara

Yongzhi S. Xu

en Limba Engleză Paperback – 21 sep 2011

This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.

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Cuprins

1. HP and LP Extensions of Holomorphic Functions from Subvarieties to some Convex Domains.- 2. Analysis Alive — an Integrated Learning Environment for higher mathematics.- 3. Learning about Fields by Finite Element Analysis.- 4. Uniqueness Problems for Entire and Meromorphic Functions.- 5. Applications of Explicit Error Terms in Nevanlinna Theory.- 6. The Method of Integral Representation in the Theory of Spaces of Functions of Several Groups of Variable.- 7. Hulls and Kernels of Function Classes.- 8. Extension of Meromorphic Mappings from Domains of the Locally Convex Space.- 9. On Derivatives of Multipliers of Fractional Cauchy Transforms.- 10. Fatou-Julia Theory in Differentiable Dynamics.- 11. Recent Progress in Polyhedral Harmonics.- 12. Parameter analysis.- 13. ???-Lemma on Noncompact and Kähler Manifolds.- 14. Numeric versus Symbolic Computation.- 15. Orthogonal Polynomials and Computer Algebra.- 16. Topics on Partially Ordered Linear Space.- 17. Elimination of Defects of Meromorphic Mappings by Small Deformation.- 18. On the Tensor Product Representation of Polynomials of Weak Type.- 19. Morera Theorems for Spheres through a Point in Cn.- 20. Multi-valued Logics Introducing Propostional Multi-valued Logics with the Help of a CAS.- 21. An Application of Noumi’s Theorem to the Riemann Problem for Apell’s Fy.- 22. Errors in Iteration Points in Oscillatory State for Chebyschev Collocation Points.- 23. Identification of Density Distribution with Time Parameter.- 24. Complex Line Bundles on Toroidal Groups.- 25. Weierstrass Points of the Fermat Curve.- 26. Initial Irregular Oblique Derivative Problems for Nonlinear Parabolic Complex Equations of Second Order with Measurable Coefficients.- 27. The Nevanlinna’s Second Fundamental Theorem in a HilbertSpace.