𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Entire and Meromorphic Functions

✍ Scribed by Lee A. Rubel, J.E. Colliander

Publisher
Springer
Year
1996
Tongue
English
Leaves
196
Series
Universitext
Edition
Softcover reprint of the original 1st ed. 1996
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ 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.

πŸ“œ SIMILAR VOLUMES

Entire and Meromorphic Functions
πŸ“ Entire and Meromorphic Functions
✍ Lee A. Rubel πŸ“‚ Library πŸ“… 1996 πŸ› Springer 🌐 English

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

Entire and Meromorphic Functions
πŸ“ Entire and Meromorphic Functions
✍ Lee A. Rubel, James E. Colliander πŸ“‚ Library πŸ“… 1996 πŸ› Springer 🌐 English

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

Entire and Meromorphic Functions
πŸ“ Entire and Meromorphic Functions
✍ Lee A. Rubel πŸ“‚ Library πŸ“… 1996 πŸ› Springer 🌐 English

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

Entire and meromorphic functions
πŸ“ Entire and meromorphic functions
✍ Lee A Rubel; James E Colliander πŸ“‚ Library πŸ“… 1996 πŸ› Springer 🌐 English

This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form

Complex Analysis I: Entire and Meromorph
πŸ“ Complex Analysis I: Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations
✍ A. A. Gol’dberg, B. Ya. Levin, I. V. Ostrovskii (auth.), A. A. Gonchar, V. P. Ha πŸ“‚ Library πŸ“… 1997 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rol