Overview

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.

Full Product Details

Author:   R.P. Gilbert ,  Joji Kajiwara ,  Yongzhi S. Xu
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   4
Dimensions:   Width: 15.60cm , Height: 2.20cm , Length: 23.40cm
Weight:   1.610kg
ISBN:  

9780792359999

ISBN 10:   0792359992
Pages:   384
Publication Date:   31 January 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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