A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
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First Sentence:
On several occasions we have used the identity principle (C.C.A., Theorem 8.24) to extend the domain of definition of a certain analytic function, originally defined in some region R, to a larger region. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complete analytic function, general entire function, general analytic function, direct analytic continuation, generalized tangent, nonconstant entire function, fundamental period parallelogram, schlicht functions, fundamental parallelogram, nonreal zeros, lacunary series, monodromy theorem, last series converges, univalent functions, doubly periodic function, points congruent, convergence being uniform, quasiconformal mappings, deleted neighborhood, canonical product, maximum modulus theorem, elliptic function, primitive periods, product converges, simple closed contour Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Proof Suppose, Acta Math, Proof Consider, Proof First, Example Let, Cambridge University Press, Englewood Cliffs, London Math, New Jersey, Proof By Theorem, Analytic Function Theory, Clarendon Press, Nine Introductions, Proof Assume, Proof Clearly, Rey Pastor, Annals of Math, Complex Function Theory, Comptes Rendus, Proof According New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
On several occasions we have used the identity principle (C.C.A., Theorem 8.24) to extend the domain of definition of a certain analytic function, originally defined in some region R, to a larger region. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complete analytic function, general entire function, general analytic function, direct analytic continuation, generalized tangent, nonconstant entire function, fundamental period parallelogram, schlicht functions, fundamental parallelogram, nonreal zeros, lacunary series, monodromy theorem, last series converges, univalent functions, doubly periodic function, points congruent, convergence being uniform, quasiconformal mappings, deleted neighborhood, canonical product, maximum modulus theorem, elliptic function, primitive periods, product converges, simple closed contour Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Proof Suppose, Acta Math, Proof Consider, Proof First, Example Let, Cambridge University Press, Englewood Cliffs, London Math, New Jersey, Proof By Theorem, Analytic Function Theory, Clarendon Press, Nine Introductions, Proof Assume, Proof Clearly, Rey Pastor, Annals of Math, Complex Function Theory, Comptes Rendus, Proof According New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 74
books:
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- Analytic Functions by Stanislaw Saks on 4 pages
- Nine Introductions in Complex Analysis (Mathematical Studies) by Sanford L. Segal on 4 pages
- Analytic Function Theory, Volume I (AMS Chelsea Publishing) by Einar Hille on 4 pages
- Complex Analysis by Lars Ahlfors on page 73, page 175, and page 176
- The Theory of Functions by Edward C. Titchmarsh on page 76, page 283, and page 355
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