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612-822-4611
Entire Functions: Classical and Modern Results, Special Functions and Complex Differential Equations

Entire Functions: Classical and Modern Results, Special Functions and Complex Differential Equations

Paperback

Series: de Gruyter Textbook

General Mathematics

Publisher Price: $98.99

ISBN10: 3112249127
ISBN13: 9783112249123
Publisher: de Gruyter
Published: Jul 20 2026
Pages: 478
Weight: 1.67
Height: 0.97 Width: 6.69 Depth: 9.61
Language: English

Entire functions are everywhere in mathematics, and they also occur frequently in other fields such as engineering and physics. They appear so naturally that it is often not even stated that they are entire functions.

Starting with the growth and zeros of entire functions, this book then moves on to further classical topics such as the Phragmén-Lindelöf Principle, Wiman-Valiron theory, and Nevanlinna theory. Detailed discussions are given on special functions, which include entire functions with real zeros, exponential polynomials, and entire functions that have a particular asymptotic growth or certain regular growth conditions. Three chapters are devoted to entire function solutions of complex differential equations, which has been an active area of research for the last forty-five years. Last, there are sections on modern measures of growth, asymptotic values, Bank-Laine functions and other topics.

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General Mathematics