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Transcendental Dynamics and Complex Analysis /

In honour of Noel Baker, a leading exponent of transcendental complex dynamics, this book describes the state of the art in this subject.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Rippon, Philip J., Stallard, Gwyneth M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Colección:London Mathematical Society lecture note series ; no. 348.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Transcendental Dynamics and Complex Analysis /  |c edited by Philip J. Rippon, Gwyneth M. Stallard. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2008. 
300 |a 1 online resource (472 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a London Mathematical Society Lecture Note Series ;  |v no. 348 
500 |a Title from publishers bibliographic system (viewed 22 Dec 2011). 
520 |a In honour of Noel Baker, a leading exponent of transcendental complex dynamics, this book describes the state of the art in this subject. 
505 0 |a Title; Copyright; Contents; Preface ; Introduction ; 1 Iteration of inner functions and boundaries of components of the Fatou set ; 1. INTRODUCTION; 2. ITERATION OF INNER FUNCTIONS; REFERENCES; 2 Conformal automorphisms of finitely connected regions ; 1. INTRODUCTION; 2. MÖBIUS MAPS; 3. REDUCTION TO GENERALIZED CIRCULAR REGIONS; 4. CONFORMALLY TRIVIAL GENERALIZED CIRCULAR REGIONS. 
505 8 |a 5. THE REDUCTION TO CIRCULAR AND PUNCTURED SPHERES6. MÖBIUS EQUIVALENCE ANDINVERSIVE DISTANCE; 7. CIRCULATR REGIONS WITH CONNECTIVITY THREE; 8. CIRCULATR REGIONS WITH CONNECTIVITY FOUR; 9. THRICE-PUNCTURED SPHERES; 10. THE CROSS-RATIO FUNCTION; 11. CONFORMAL MöBIUS EQUIVALENCE AND CROSS-RATIOS ; 12. FOUR PUNCTURED SPHERES; 13. CONFORMALLY TRIVIAL PUNCTURED SPHERES ; 14. MÖBUS EQUIVALENCE AND ABSOLUTE CROSS-RATIOS; 15. THE INTERNAL DIRECT PRODUCT OF AUTOMORPHISMS; 16. A GEOMETRIC VIEW; REFERENCES. 
505 8 |a 3 Meromorphic functions with two completely invariant domains 1. INTRODUCTION AND MAIN RESULT; 2. PROOF OF THE THEOREM; 3. EXAMPLES; REFERENCES; 4 A family of matings between transcendental entire functions and a Fuchsian group ; 1. THE GROUP T; 2. CORRESPONDENCES AND MATINGS; 3. A FAMILY OF CORRESPONDENCES; 4. TRANSCENDENTAL MATINGS; 5. DYNAMICS OF THE MAP æmR(z); 6. THE FATOU SET OF æmR; 7. CONJUGACIES ON ""TRUNCATED FILLED JULIA SETS"" 
505 8 |a 8. DYNAMICAL RAYS9. REMARKS AND GENERALISATIONS; REFERENCES; 5 Singular perturbations of zn ; 1. INTRODUCTION; 2. PRELIMINARIES; 3. THE ESCAPE TRICHOTOMY; 4. THE CASE n = d = 2; 5 .THE CASE n = 1; 6. BURIED SIERPINSKI CURVES; 7. SIERPINSKI GASKET-LIKE JULIA SETS; REFERENCES; 6 Residual Julia sets of rational and transcendental functions ; 1. INTRODUCTION; 2. BASIC PROPERTIES OF THE RESIDUAL JULIA SET; 3. THE RESIDUAL JULIA SET FOR RATIONAL FUNCTIONS. 
505 8 |a 4. RESIDUAL JULIA SETS FOR TRANSCENDENTAL ENTIRE FUNCTIONS5. RESIDUAL JULIA SETS FOR TRANSCENDENTAL MEROMORPHIC FUNCTIONS; 6. HAIRS IN THE RESIDUAL JULIA SET; REFERENCES; 7 Bank-Laine functions via quasiconformal surgery ; 1. INTRODUCTION; 2. LEMMAS NEEDED FOR THEOREM 1.1; 3. PROOF OF THEOREM 1.1; 4. A RESULT NEEDED FOR THEOREM 1.2; 5. PROOF OF THEOREM 1.2; REFERENCES; 8 Generalisations of uniformly normal families ; 1. INTRODUCTION; 2. A SPECIAL CASE; 3. PROOF OF THEOREM 1. 
504 |a Includes bibliographical references and index. 
546 |a English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Functions of complex variables. 
650 0 |a Differentiable dynamical systems. 
650 0 |a Mathematical analysis. 
650 6 |a Fonctions d'une variable complexe. 
650 6 |a Dynamique différentiable. 
650 6 |a Analyse mathématique. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Differentiable dynamical systems.  |2 fast  |0 (OCoLC)fst00893426 
650 7 |a Functions of complex variables.  |2 fast  |0 (OCoLC)fst00936116 
650 7 |a Mathematical analysis.  |2 fast  |0 (OCoLC)fst01012068 
700 1 |a Rippon, Philip J. 
700 1 |a Stallard, Gwyneth M. 
776 0 8 |i Print version:  |z 9780521683722 
830 0 |a London Mathematical Society lecture note series ;  |v no. 348. 
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