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Author: Jerry L. Fields
Publisher:
Published: 1969
Total Pages: 28
ISBN-13:
DOWNLOAD EBOOKClosed form rational approximations are given for the Meijer G-function. In a previous study, the error was formulated by use of differential operators. In the present paper, an error representation based on difference operators is derived. (Author).
Author: Yudell L. Luke
Publisher: Academic Press
Published: 1969
Total Pages: 509
ISBN-13: 0080955614
DOWNLOAD EBOOKSpecial Functions and Their Approximations: v. 2
Author: P. P. Petrushev
Publisher: Cambridge University Press
Published: 2011-03-03
Total Pages: 388
ISBN-13: 9780521177405
DOWNLOAD EBOOKThis 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation.
Author: Yudell L. Luke
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 587
ISBN-13: 1483262456
DOWNLOAD EBOOKMathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
Author: Yudell L. Luke
Publisher: Academic Press
Published: 1969
Total Pages: 373
ISBN-13: 0080955606
DOWNLOAD EBOOKA detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.
Author: Jerry L. Fields
Publisher:
Published: 1969
Total Pages: 32
ISBN-13:
DOWNLOAD EBOOKClosed form rational approximations are given for the Meijer G-function. In a previous study, the error was formulated by use of differential operators. In the present paper, an error representation based on difference operators is derived.
Author: A. Cuyt
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 459
ISBN-13: 9400929013
DOWNLOAD EBOOKApproach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author: Robert S. Cohen
Publisher: Springer Science & Business Media
Published: 1997-06-30
Total Pages: 298
ISBN-13: 9780792344537
DOWNLOAD EBOOKPotentiality, Entanglement and Passion-at-a-Distance is a book for theoretical physicists and philosophers of modern physics. It treats a puzzling and provocative aspect of recent quantum physics: the apparent interaction of certain physical events that cannot share any causal connection. These are said to be `entangled' in some way, but an explanation remains elusive. Abner Shimony - to whom the book is dedicated - and others suggest the need to revive the category of what may be seen as a metaphysical potentiality. Abner has described these events without actions to link them as `passion at a distance': not active, but passive. The discussions gathered here are written by a truly remarkable cast of scientists and philosophers and shed new light on the most profound puzzles of our times.
Author: Carl De Boor
Publisher: American Mathematical Soc.
Published: 1986-12-31
Total Pages: 152
ISBN-13: 9780821867433
DOWNLOAD EBOOKThe papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. Topics highlighted in the other lectures include the following: approximation in the complex domain, $N$-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics. The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.
Author: Arieh Iserles
Publisher: Cambridge University Press
Published: 1998-07-23
Total Pages: 388
ISBN-13: 9780521643160
DOWNLOAD EBOOKAn annual volume presenting substantive survey articles in numerical analysis and scientific computing.
