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
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The book consists of state-of-the-art chapters on Nevanlinna theory, Fatou--Julia theory, entire and meromorphic functions, several complex variables, computer applications to complex analysis, line bundles, and collocation methods. Audience: Researchers working in the field as well as scientists interested in the applications.
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.