Synopsis
This book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, and presentation of the Rubel-Taylor Fourier Series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and closes with the Malliavin-Rubel uniqueness theorem. The approach gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis.
"synopsis" may belong to another edition of this title.
From the Back Cover
The book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, starting from scratch. It contains the first book-form presentation of the Rubel-Taylor Fourier series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and the Malliavin-Rubel uniqueness theorem. The book closes with applications to mathematical logic. In particular, the first-order theory of the ring of entire functions is developed and questions concerning identities of exponential functions are studied as in Tarski's "High School Algebra Problems". The approach of the book gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Entire and Meromorphic Functions (Universitext)
Stock Image
Entire and Meromorphic Functions (Universitext)
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. 187 pp., Paperback, minor soiling to bottom edge of pages else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1349109
Stock Image
Entire and Meromorphic Functions
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # GRP82103686
Stock Image
Entire And Meromorphic Functions (Universitext)
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABBB-11105
Stock Image
Entire And Meromorphic Functions (Universitext)
Seller: Basi6 International, Irving, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT25-85616
Stock Image
Entire And Meromorphic Functions (Universitext)
Seller: SMASS Sellers, IRVING, TX, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Seller Inventory # ASNT3-11105
Stock Image
Entire and Meromorphic Functions (Universitext)
Seller: BGV Books LLC, Murray, KY, U.S.A.
Seller rating 4 out of 5 stars
Condition: Good. Exact ISBN match. Immediate shipping. No funny business. Seller Inventory # 9780387945101
Stock Image
Entire And Meromorphic Functions (Universitext)
Seller: SMASS Sellers, IRVING, TX, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Seller Inventory # ASNNN-11105
Seller Image
Entire and Meromorphic Functions
Seller: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Germany
Seller rating 5 out of 5 stars
Broschiert. Condition: Gut. 187 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 310. Seller Inventory # 2188905
Stock Image
Entire and Meromorphic Functions
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. pp. 202 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 7592569
Buy New
£ 27.49
£ 6.50 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 4 available
Stock Image
Entire and Meromorphic Functions - An Introduction to Theoretical Particle Physics
Seller: Basi6 International, Irving, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT25-85617