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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230420b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780367237677 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.98 |
| Item number |
KYT |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kythe, Prem K |
| 245 ## - TITLE STATEMENT |
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| Title |
Complex analysis : conformal inequalities and the Bieberbach conjecture |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC Press, |
| Date of publication, distribution, etc |
2016 |
| Place of publication, distribution, etc |
Boca Raton : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xx, 343 p. ; |
| Other physical details |
ill. |
| Dimensions |
23 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
1995.00 |
| Price type code |
INR |
| Unit of pricing |
01 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Monographs and Research Notes in Mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis and differential equations, the book is suitable for graduate students engaged in analytical research on the topics and researchers working on related areas of complex analysis in one or more complex variables.
The author first reviews the theory of analytic functions, univalent functions, and conformal mapping before covering various theorems related to the area principle and discussing Löwner theory. He then presents Schiffer’s variation method, the bounds for the fourth and higher-order coefficients, various subclasses of univalent functions, generalized convexity and the class of α-convex functions, and numerical estimates of the coefficient problem. The book goes on to summarize orthogonal polynomials, explore the de Branges theorem, and address current and emerging developments since the de Branges theorem. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional analysis |
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Calculus |
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Askey-Gasper theorem |
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Bazilevich functions |
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Cauchy's argument principle |
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Dirichlet integral |
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| Topical term or geographic name as entry element |
Fitzgerald inequalirty |
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Green's formulas |
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| Topical term or geographic name as entry element |
Harnack's theorem |
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| Topical term or geographic name as entry element |
Koebe function |
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| Topical term or geographic name as entry element |
Lebedev-Milin area theorem |
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Milin's conjecture |
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| Topical term or geographic name as entry element |
Riemann mapping theorem |
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| Topical term or geographic name as entry element |
Schwarz function |
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| Topical term or geographic name as entry element |
Weirstrans theorem |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |