Normal Families
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Normal Families
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Author : Joel L. Schiff
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Normal Families written by Joel L. Schiff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
A book on the subject of normal families more than sixty years after the publication of Montel's treatise Ler;ons sur les familles normales de fonc tions analytiques et leurs applications is certainly long overdue. But, in a sense, it is almost premature, as so much contemporary work is still being produced. To misquote Dickens, this is the best of times, this is the worst of times. The intervening years have seen developments on a broad front, many of which are taken up in this volume. A unified treatment of the classical theory is also presented, with some attempt made to preserve its classical flavour. Since its inception early this century the notion of a normal family has played a central role in the development of complex function theory. In fact, it is a concept lying at the very heart of the subject, weaving a line of thought through Picard's theorems, Schottky's theorem, and the Riemann mapping theorem, to many modern results on meromorphic functions via the Bloch principle. It is this latter that has provided considerable impetus over the years to the study of normal families, and continues to serve as a guiding hand to future work. Basically, it asserts that a family of analytic (meromorphic) functions defined by a particular property, P, is likely to be a normal family if an entire (meromorphic in
Normal Families And Normal Functions
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Author : Peter V. Dovbush
language : en
Publisher: CRC Press
Release Date : 2024-02-27
Normal Families And Normal Functions written by Peter V. Dovbush and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-27 with Mathematics categories.
This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space). The theory of normal families is more than 100 years old. It has played a seminal role in the function theory of complex variables. It was used in the first rigorous proof of the Riemann mapping theorem. It is used to study automorphism groups of domains, geometric analysis, and partial differential equations. The theory of normal families led to the idea, in 1957, of normal functions as developed by Lehto and Virtanen. This is the natural class of functions for treating the Lindelof principle. The latter is a key idea in the boundary behavior of holomorphic functions. This book treats normal families, normal functions, the Lindelof principle, and other related ideas. Both the analytic and the geometric approaches to the subject area are offered. The authors include many incisive examples. The book could be used as the text for a graduate research seminar. It would also be useful reading for established researchers and for budding complex analysts.
Normal Families Of Meromorphic Functions
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Author : Qitai Zhuang
language : en
Publisher: World Scientific
Release Date : 1993-04-27
Normal Families Of Meromorphic Functions written by Qitai Zhuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-27 with Mathematics categories.
This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications. Much of this book contains results of the author's research, among them is the notion of Qm-normality which includes the classical notions of normality and quasi-normality introduced by Montel as particular cases. In this book, the notion of closed families of meromorphic functions is also introduced. In addition, applications concerning the existence of the solution of various extremal problems for certain classes of univalent or multivalent functions can also be found.
Normal Families Of Meromorphic Functions
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Author : Chi-Tai Chuang
language : en
Publisher: World Scientific
Release Date : 1993
Normal Families Of Meromorphic Functions written by Chi-Tai Chuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications. Much of this book contains results of the author's research, among them is the notion of m-normality which includes the classical notions of normality and quasi-normality introduced by Montel as particular cases. In this book, the notion of closed families of meromorphic functions is also introduced. In addition, applications concerning the existence of the solution of various extremal problems for certain classes of univalent or multivalent functions can also be found.
Nevanlinna Theory Normal Families And Algebraic Differential Equations
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Author : Norbert Steinmetz
language : en
Publisher: Springer
Release Date : 2017-07-24
Nevanlinna Theory Normal Families And Algebraic Differential Equations written by Norbert Steinmetz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-24 with Mathematics categories.
This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents advances made since Hayman’s work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman–Pang method of re-scaling to algebraic differential equations, and presents the Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions. Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.
Normal Family Processes Fourth Edition
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Author : Froma Walsh
language : en
Publisher: Guilford Publications
Release Date : 2015-10-02
Normal Family Processes Fourth Edition written by Froma Walsh and has been published by Guilford Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-02 with Psychology categories.
Widely adopted, this valued course text and practitioner guide has expanded the understanding of family normality and healthy functioning in our increasingly diverse society. The editor and contributors are at the forefront of research and clinical training. They describe the challenges facing contemporary families and ways in which clinicians can promote resilience. With consideration of sociocultural and developmental influences, chapters identify key family processes that nurture and sustain strong bonds in couples; dual-earner, divorced, single-parent, remarried, adoptive, and kinship care families; gay and lesbian families; culturally diverse families; and those coping with adversity, such as trauma,ÿ poverty, and chronic illness.ÿNew to This Edition*Reflects important research advances and the changing contexts of family life.*Additional chapter topics: kinship care, family rituals, evidence-based assessment, and neurobiology.*All chapters have been fully updated.
Normal Family
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Author : Chrysta Bilton
language : en
Publisher: Hachette UK
Release Date : 2022-07-12
Normal Family written by Chrysta Bilton and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-12 with Family & Relationships categories.
This riveting, nuanced memoir about unforgettable individuals thrown together by chance and DNA tells a story of nature, nurture, and coming to terms with one's true inheritance. What is a “normal family,” and how do you go about making one? Chrysta Bilton’s magnetic, larger-than-life mother, Debra, yearned to have a child, but as a single gay woman in 1980s California, she had few options. Until one day, while getting her hair done in a Beverly Hills salon, she met a man and instantly knew he was the one she’d been looking for. Beautiful, athletic, artistic, and from a well-to-do family, Jeffrey Harrison appeared to be Debra’s ideal sperm donor. A verbal agreement, a couple of thousand in cash, and a few squirts of a turkey baster later, and Chrysta was conceived. Over the years, Jeffrey would make regular appearances at the family home, which grew to include Chrysta’s baby sister. But how much did Debra really know about the man she’d chosen to father her daughters? And as a single mother torn between ferocious independence and abject dependence—on other women, alcohol, drugs, and the adrenaline of get-rich-quick schemes—what secrets of her own was she keeping? It wasn’t until Chrysta was a young adult that she discovered just how much her parents had hidden from their daughters—and each other—including a shocking revelation with far-reaching consequences not only for Debra, Chrysta, and her sister, but for dozens and possibly hundreds of unsuspecting families across the country. After a lifetime of longing for a “normal family,” can Chrysta face the reality of her own, in all its complexity? Bringing us into the fold of a deeply dysfunctional yet fiercely loving clan that is anything but “normal,” this emotional roller coaster of a memoir will make you cry, laugh, and rethink the meaning of family. Named a 'Best Book of the Summer' by LA Times, People, USA Today, Vanity Fair, The Hollywood Reporter, Amazon, Apple, Cup of Jo, Kirkus, Parade, & Today
A Nearly Normal Family
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Author : M. T. Edvardsson
language : en
Publisher: Pan Macmillan
Release Date : 2019-06-25
A Nearly Normal Family written by M. T. Edvardsson and has been published by Pan Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-25 with Fiction categories.
The worldwide bestseller, over half a million copies sold. A Nearly Normal Family is the stunning psychological thriller from M. T. Edvardsson, which asks what would a parent do if their child was suspected of murder, and just how far they’d go to protect them . . . 'A deceptive and riveting novel' – Karin Slaughter One night, eighteen-year-old Stella comes home late. The next morning she is accused of murder. As parents Michael and Ulrika deal with the fallout and try to protect their daughter, they must search out the truth – but how much do they really know about their daughter? Told from three viewpoints – father, mother and daughter – but who is telling the truth? Perfect for fans of A. J. Finn’s The Woman in the Window or J. P. Delaney’s The Girl Before. Praise for A Nearly Normal Family: 'An absolutely fantastic read' – Jo Spain 'An utterly compelling premise . . . a layered, intelligent novel' – Fiona Cummins 'A canny, intensely suspenseful legal thriller' – Scott Turow 'I couldn't go to bed until I finished it. Effortlessly brilliant' – Sandie Jones 'I couldn't put it down' – Michelle Frances 'An unsettling page turner. Highly Recommended' – Adam Hamdy
Who S Got A Normal Family
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Author : Belinda Nowell
language : en
Publisher:
Release Date : 2021-10-29
Who S Got A Normal Family written by Belinda Nowell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with categories.
'Are we normal?' he asked. Mum gave Alex the brightest smile. 'Absolutely NOT ... but why don't we find out who is?' A celebration of unique, thriving and fun families. Realistic characters throughout help readers relate to the different, diverse families and situations.
Ordinary Families
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Author : Eileen Arnot Robertson
language : en
Publisher:
Release Date : 1982
Ordinary Families written by Eileen Arnot Robertson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Fiction categories.