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Schwarz-Pick Type Inequalities
Avkhadiev, Farit G.; Wirths, Karl-Joachim
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Description for Schwarz-Pick Type Inequalities
paperback. This book gives a unified representation of generalizations of the Schwarz Lemma. It examines key coefficient theorems of the last century and explains the connection between coefficient estimates and characteristics of the hyperbolic geometry in a domain. Series: Frontiers in Mathematics. Num Pages: 164 pages, biography. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 20. Weight in Grams: 334.
The aim of the present book is a uni?ed representation of some recent results in geometric function theory together with a consideration of their historical sources. These results are concerned with functions f, holomorphic or meromorphic in a domain ? in the extended complex planeC. The only additional condition we impose on these functions is the condition that the range f(?) is contained in a given domain ??C.Thisfactwillbedenotedby f? A(?,?). We shall describe (n) how one may get estimates for the derivatives|f (z )|,n?N,f ? A(?,?), 0 dependent on the position of z in ? and f(z)in?. 0 0 1.1 ... Read more
The aim of the present book is a uni?ed representation of some recent results in geometric function theory together with a consideration of their historical sources. These results are concerned with functions f, holomorphic or meromorphic in a domain ? in the extended complex planeC. The only additional condition we impose on these functions is the condition that the range f(?) is contained in a given domain ??C.Thisfactwillbedenotedby f? A(?,?). We shall describe (n) how one may get estimates for the derivatives|f (z )|,n?N,f ? A(?,?), 0 dependent on the position of z in ? and f(z)in?. 0 0 1.1 ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Springer/Sci-Tech/Trade Switzerland
Number of pages
164
Condition
New
Series
Frontiers in Mathematics
Number of Pages
156
Place of Publication
Basel, Switzerland
ISBN
9783764399993
SKU
V9783764399993
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Schwarz-Pick Type Inequalities
From the reviews: “The aim of this book is to give a unified presentation of some recent results in geometric function theory together with a consideration of their historical sources. The extensive historical references are … interesting, thorough and informative. … this book is filled with many challenging conjectures and suggested problems for exploring new research. In summary this ... Read more