Special Functions and Their Approximations: v. 2
Author: Yudell L. Luke
Publisher: Academic Press
Published: 1969
Total Pages: 509
ISBN-13: 0080955614
DOWNLOAD EBOOKSpecial Functions and Their Approximations: v. 2
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The Special Functions and Their Approximations
Author: Yudell L. Luke
Publisher:
Published:
Total Pages:
ISBN-13:
DOWNLOAD EBOOKThe Special Functions and Their Approximations
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.
Analytic Number Theory, Approximation Theory, and Special Functions
Author: Gradimir V. Milovanović
Publisher: Springer
Published: 2014-07-08
Total Pages: 873
ISBN-13: 149390258X
DOWNLOAD EBOOKThis book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
Numerical Methods for Special Functions
Author: Amparo Gil
Publisher: SIAM
Published: 2007-01-01
Total Pages: 431
ISBN-13: 9780898717822
DOWNLOAD EBOOKSpecial functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
Mathematical Functions and Their Approximations
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.
An Introduction to Special Functions
Author: Carlo Viola
Publisher: Springer
Published: 2016-10-31
Total Pages: 172
ISBN-13: 3319413457
DOWNLOAD EBOOKThe subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.
Handbook of Mathematical Functions
Author: Milton Abramowitz
Publisher: Courier Corporation
Published: 1965-01-01
Total Pages: 1068
ISBN-13: 9780486612720
DOWNLOAD EBOOKAn extensive summary of mathematical functions that occur in physical and engineering problems
Handbook of Special Functions
Author: Yury A. Brychkov
Publisher: CRC Press
Published: 2008-05-28
Total Pages: 702
ISBN-13: 1584889578
DOWNLOAD EBOOKBecause of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in
An Introduction to the Approximation of Functions
Author: Theodore J. Rivlin
Publisher: Courier Corporation
Published: 1981-01-01
Total Pages: 164
ISBN-13: 9780486640693
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
