A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).
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 Rolf Nevanlinna theory of distribution of values of meromorphic functions including the inverse problem, the theory of completely regular growth, the concept of limit sets for entire and subharmonic functions. The authors describe the applications to the interpolation by entire functions, to entire and meromorphic solutions of ordinary differential equations, to the Riemann boundary problem with an infinite index and to the arithmetic of the convolution semigroup of probability distributions. Polyanalytic functions form one of the most natural generalizations of analytic functions and are described in Part II. They emerged for the first time in plane elasticity theory where they found important applications (due to Kolossof, Mushelishvili etc.). This contribution contains a detailed review of recent investigations concerning the function-theoretical peculiarities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc.). Polyanalytic functions have many points of contact with such fields of analysis as polyharmonic functions, Nevanlinna Theory, meromorphic curves, cluster set theory, functions of several complex variables etc.
First published in 1939, this resource sets forth cornerstone concepts of recovery from alcoholism and tells the stories of men and women who have overcome the disease.
The EZ Big Book of Alcoholics Anonymous is a page-by-page translation of the original Alcoholics Anonymous published by AA founder Bill Wilson in the 1930s. It is intended to carry the AA message to modern readers who find the original Big Book hard to digest for any reason. The language is gender-neutral, and references to spirituality are more inclusive. The book shows you how to: Quit drinking Find a personal Higher Power Livei n the now Face problems fearlessly Discover the real you Make great friends in AA Advance Reviews The anonymous author of this work has taken a bold step by updating the language of the original Big Book, which has barely changed since its introduction in 1939. John Elm, PhD, AA member Finally, a version of the Big Book has arrived that's as inclusive as the program itself. The language does not assume the reader is male or Christian. Jules Cardello, LMSW, Social Worker The simple, direct writing makes the message of the Big Book much easier to understand without any loss of meaning. Anonymous AA Member
This is a book of reflections by A.A. members for A.A. members. It was first published in 1990 to fulfill a long-felt need within the Fellowship for a collection of reflections that moves through the calendar year--one day at a time. Each page contains a reflection on a quotation from A.A. Conference-approved literature, such as Alcoholics Anonymous, Twelve Steps and Twelve Traditions, As Bill Sees It and other books. These reflections were submitted by members of the A.A. Fellowship who were not professional writers, nor did they speak for A.A. but only for themselves, from their own experiences in sobriety. Thus the book offers sharing, day by day, from a broad cross section of members, which focuses on the Three Legacies of Alcoholics Anonymous: Recovery, Unity and Service. Daily Reflections has proved to be a popular book that aids individuals in their practice of daily meditation and provides inspiration to group discussions even as it presents an introduction for some to A.A. literature as a whole.
Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents include: results dealing with q-hypergeometric functions, differencehypergeometric functions and basic hypergeometric series with Schur function argument; the theory of orthogonal polynomials and expansions, including generalizations of Szegö type asymptotics and connections with Jacobi matrices; the convergence theory for Padé and Hermite-Padé approximants, with emphasis on techniques from potential theory; material on wavelets and fractals and their relationship to invariant measures and nonlinear approximation; generalizations of de Brange's in equality for univalent functions in a quasi-orthogonal Hilbert space setting; applications of results concerning approximation by entire functions and the problem of analytic continuation; and other topics.
This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.
The results of theoretical and experimental investigations of seismic waves depending on natural and technological factors are discussed, with methods for engineering calculations of industrial blast parameters.
Blurb & Contents" This current and comprehensive treatment of the physics of small- amplitude waves in hot magnetized plasmas provides a thorough update of the author's classic Theory of Plasma Waves. New topics include quasi-linear theory, inhomogeneous plasmas, collisions, absolute and convective instability, and mode conversion. Valuable for graduates and advanced undergraduates and an indispensable reference work for researchers in plasmas, controlled fusion, and space science.
Front Cover; Soil Liquid Phase Composition; Copyright Page; CONTENTS; INTRODUCTION; ACKNOWLEDGMENTS; CHAPTER 1. SOIL LIQUID PHASE AS A STRUCTURAL ELEMENT OF AN ECOSYSTEM; CHAPTER 2. SOIL LIQUID PHASE INVESTIGATION; CHAPTER 3. STUDY AREAS; CHAPTER 4. ENVIRONMENTAL IMPACT ON THE SOIL LIQUID PHASE; CHAPTER 5. SPATIAL AND TEMPORAL PROPERTIES OF SOIL LIQUID PHASE; CHAPTER 6. MATERIAL AND ENERGY EXCHANGE IN ECOSYSTEMS; CHAPTER 7. ENVIRONMENTAL PROCESSES AND SOIL LIQUID PHASE; SUMMARY; GLOSSARY; REFERENCES; CORRELATION BETWEEN SOIL NAMES; SUBJECT INDEX; AUTHOR INDEX.
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