Factorization Theory of Meromorphic Functions, and Related Topics

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Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Factorization Theory of Meromorphic Functions, and Related Topics by : Chung-Chun Yang

Download or read book Factorization Theory of Meromorphic Functions, and Related Topics written by Chung-Chun Yang and published by . This book was released on 1982 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fix-points And Factorization Of Meromorphic Functions: Topics In Complex Analysis

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Publisher : World Scientific
ISBN 13 : 9814507210
Total Pages : 243 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fix-points And Factorization Of Meromorphic Functions: Topics In Complex Analysis by : Chung-chun Yang

Download or read book Fix-points And Factorization Of Meromorphic Functions: Topics In Complex Analysis written by Chung-chun Yang and published by World Scientific. This book was released on 1990-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.

Fix-points and Factorization of Meromorphic Functions

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Publisher : World Scientific
ISBN 13 : 9789810200084
Total Pages : 250 pages
Book Rating : 4.2/5 ( download)

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Book Synopsis Fix-points and Factorization of Meromorphic Functions by : Qitai Zhuang

Download or read book Fix-points and Factorization of Meromorphic Functions written by Qitai Zhuang and published by World Scientific. This book was released on 1990 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.

Factorization of Meromorphic Functions

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Factorization of Meromorphic Functions by : Fred Gross

Download or read book Factorization of Meromorphic Functions written by Fred Gross and published by . This book was released on 1973 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Review

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Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Review by :

Download or read book Review written by and published by . This book was released on 1982 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NRL Review

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Publisher :
ISBN 13 :
Total Pages : 956 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NRL Review by :

Download or read book NRL Review written by and published by . This book was released on 1980 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Second ISAAC Congress

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Publisher : Springer Science & Business Media
ISBN 13 : 1461302714
Total Pages : 792 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Proceedings of the Second ISAAC Congress by : Heinrich G.W. Begehr

Download or read book Proceedings of the Second ISAAC Congress written by Heinrich G.W. Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let 8 be a Riemann surface of analytically finite type (9, n) with 29 2+n> O. Take two pointsP1, P2 E 8, and set 8,1>2= 8 \ {P1' P2}. Let PI Homeo+(8;P1,P2) be the group of all orientation preserving homeomor phismsw: 8 -+ 8 fixingP1, P2 and isotopic to the identity on 8. Denote byHomeot(8;Pb P2) the set of all elements ofHomeo+(8;P1, P2) iso topic to the identity on 8,P2' ThenHomeot(8;P1,P2) is a normal sub pl group ofHomeo+(8;P1,P2). We setIsot(8;P1,P2) =Homeo+(8;P1,P2)/ Homeot(8;p1, P2). The purpose of this note is to announce a result on the Nielsen Thurston-Bers type classification of an element [w] ofIsot+(8;P1,P2). We give a necessary and sufficient condition for thetypeto be hyperbolic. The condition is described in terms of properties of the pure braid [b] w induced by [w]. Proofs will appear elsewhere. The problem considered in this note and the form ofthe solution are suggested by Kra's beautiful theorem in [6], where he treats self-maps of Riemann surfaces with one specified point. 2 TheclassificationduetoBers Let us recall the classification of elements of the mapping class group due to Bers (see Bers [1]). LetT(R) be the Teichmiiller space of a Riemann surfaceR, andMod(R) be the Teichmtiller modular group of R. Note that an orientation preserving homeomorphism w: R -+ R induces canonically an element (w) EMod(R). Denote by & .r(R)(·, .) the Teichmiiller distance onT(R). For an elementXEMod(R), we define a(x)= inf & .r(R)(r, x(r)).

Nevanlinna Theory and Complex Differential Equations

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Publisher : Walter de Gruyter
ISBN 13 : 3110863146
Total Pages : 353 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Nevanlinna Theory and Complex Differential Equations by : Ilpo Laine

Download or read book Nevanlinna Theory and Complex Differential Equations written by Ilpo Laine and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Proceedings Of The Second Asian Mathematical Conference 1995

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Publisher : World Scientific
ISBN 13 : 9814545783
Total Pages : 632 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Proceedings Of The Second Asian Mathematical Conference 1995 by : Tangmanee S

Download or read book Proceedings Of The Second Asian Mathematical Conference 1995 written by Tangmanee S and published by World Scientific. This book was released on 1998-02-17 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.

Several Complex Variables in China

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851640
Total Pages : 188 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Several Complex Variables in China by : Chung-Chun Yang

Download or read book Several Complex Variables in China written by Chung-Chun Yang and published by American Mathematical Soc.. This book was released on 1993 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, there is increasing interest in complex geometry, geometric function theory, and integral representation theory of several complex variables. The present collection of survey and research articles comprises a current overview of research in several complex variables in China. Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some results are reported in English for the first time.

Uniqueness Theory of Meromorphic Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402014482
Total Pages : 590 pages
Book Rating : 4.0/5 (144 download)

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Book Synopsis Uniqueness Theory of Meromorphic Functions by : Chung-Chun Yang

Download or read book Uniqueness Theory of Meromorphic Functions written by Chung-Chun Yang and published by Springer Science & Business Media. This book was released on 2004-10-04 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.

Entire and Meromorphic Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387945101
Total Pages : 206 pages
Book Rating : 4.9/5 (451 download)

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Book Synopsis Entire and Meromorphic Functions by : Lee A. Rubel

Download or read book Entire and Meromorphic Functions written by Lee A. Rubel and published by Springer Science & Business Media. This book was released on 1996-02-28 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect of mathematics enters into it, from analysis, algebra, and geometry all the way to differential equations and logic. For example, my favorite theorem in all of mathematics is a theorem of R. NevanJinna that two functions, meromorphic in the whole complex plane, that share five values must be identical. For real functions, there is nothing that even remotely corresponds to this. This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory. Things included here that occur in no other book (that we are aware of) are the Fourier series method for entire and mero morphic functions, a study of integer valued entire functions, the Malliavin Rubel extension of Carlson's Theorem (the "sampling theorem"), and the first-order theory of the ring of all entire functions, and a final chapter on Tarski's "High School Algebra Problem," a topic from mathematical logic that connects with entire functions. This book grew out of a set of classroom notes for a course given at the University of Illinois in 1963, but they have been much changed, corrected, expanded, and updated, partially for a similar course at the same place in 1993. My thanks to the many students who prepared notes and have given corrections and comments.

New Technical Books

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Technical Books by : New York Public Library

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1983 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Factorization of Meromorphic Functions

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Factorization of Meromorphic Functions by : Fred Gross

Download or read book Factorization of Meromorphic Functions written by Fred Gross and published by . This book was released on 1973 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Differential Operators And Related Problems

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Publisher : CRC Press
ISBN 13 : 9780203911143
Total Pages : 390 pages
Book Rating : 4.9/5 (111 download)

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Book Synopsis Hyperbolic Differential Operators And Related Problems by : Vincenzo Ancona

Download or read book Hyperbolic Differential Operators And Related Problems written by Vincenzo Ancona and published by CRC Press. This book was released on 2003-03-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.

Asian Mathematical Conference, 1990 - Proceedings Of The Conference

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Publisher : #N/A
ISBN 13 : 9814555827
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Asian Mathematical Conference, 1990 - Proceedings Of The Conference by : Li Zhong

Download or read book Asian Mathematical Conference, 1990 - Proceedings Of The Conference written by Li Zhong and published by #N/A. This book was released on 1992-03-31 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hypercomplex Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3764398930
Total Pages : 289 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Hypercomplex Analysis by : Irene Sabadini

Download or read book Hypercomplex Analysis written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis.