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010 a| 2023040379;

020 a| 9781032666365q| (hardback);

020 a| 9781032669878q| (paperback);

020 z| 9781032669861q| (ebook);

035 a| (WaSeSS)ssj0002968217;

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050 00 a| QA331b| .D695 2024;

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100 1 a| Dovbush, Peter V.?| UNAUTHORIZED;

245 10 a| Normal families and normal functionsh| [electronic resource] /c| Peter V. Dovbush and Steven G Krantz.;

250 a| First edition.;

260 a| Boca Raton :b| CRC Press,c| 2024.;

263 a| 2402;

300 a| pages cm;

504 a| Includes bibliographical references and index.;

505 0 a| Introduction -- A glimpse of normal families -- Normal families in C[superscript n] -- Normal functions in C[superscript n] -- A geometric approach to the theory of normal families -- Some classical theorems -- Normal families of holomorphic functions -- Spaces that omit the values 0 and 1 -- Concluding remarks.;

506 a| Available only to authorized users.;

520 a| "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"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Holomorphic functions.=| ^A58602;

650 0 a| Functions, Meromorphic=| ^A27186;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Krantz, Steven G.q| (Steven George),d| 1951-=| ^A217946;

856 40 z| Full text available from eBooks on EBSCOhostu| https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3784635&scope=site&custid=s5822723&authtype=ip,shib;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6774120-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 7/19/2026x| EBOOKz| JERESOURCE;

Normal families and normal functions / Peter V. Dovbush and Steven G Krantz.

Author/creator	Dovbush, Peter V.
Other author	Krantz, Steven G. (Steven George), 1951-
Format	Electronic
Edition	First edition.
Publication Info	Boca Raton : CRC Press, 2024.
Description	pages cm
Supplemental Content	Full text available from eBooks on EBSCOhost
Subjects	Holomorphic functions. Functions, Meromorphic

Contents	Introduction -- A glimpse of normal families -- Normal families in C[superscript n] -- Normal functions in C[superscript n] -- A geometric approach to the theory of normal families -- Some classical theorems -- Normal families of holomorphic functions -- Spaces that omit the values 0 and 1 -- Concluding remarks.
Abstract	"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"-- Provided by publisher.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2023040379
ISBN	9781032666365 (hardback)
ISBN	9781032669878 (paperback)
ISBN	(ebook)

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Normal families and normal functions / Peter V. Dovbush and Steven G Krantz.

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