the special functions and their approximations volume 1

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The Special Functions And Their Approximations

Author : Yudell L. Luke
ISBN : 9780080955605
Genre : Mathematics
File Size : 65. 85 MB
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A 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.

The Special Functions And Their Approximations Vol 1 2

Author : Y. L. Luke
ISBN : OCLC:473344784
Genre :
File Size : 24. 71 MB
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The Special Functions And Their Approximations

Author : Yudell L. Luke
ISBN : UOM:39015000491244
Genre : Mathematics
File Size : 39. 69 MB
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Special Functions And Their Approximations

Author : Yudell L. Luke
ISBN : 9780080955612
Genre : Computers
File Size : 78. 76 MB
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Special Functions and Their Approximations: v. 2

Mathematical Functions And Their Approximations

Author : Yudell L. Luke
ISBN : 9781483262451
Genre : Mathematics
File Size : 41. 58 MB
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Mathematical 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.

Asymptotics And Special Functions

Author : F. W. J. Olver
ISBN : 9781483267449
Genre : Mathematics
File Size : 48. 80 MB
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Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.

Constructive Function Theory

Author : Isidor Pavlovich Natanson
ISBN : UOM:39015001338279
Genre : Approximation theory
File Size : 57. 58 MB
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An Introduction To The Approximation Of Functions

Author : Theodore J. Rivlin
ISBN : 0486640698
Genre : Mathematics
File Size : 42. 40 MB
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Mathematics of Computing -- Numerical Analysis.

Essential Mathematical Methods For Physicists

Author : Hans-Jurgen Weber
ISBN : 9780120598779
Genre : Mathematics
File Size : 55. 37 MB
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This adaptation of Arfken and Weber's bestselling 'Mathematical Methods for Physicists' is a comprehensive, accessible reference for using mathematics to solve physics problems. Introductions and review material provide context and extra support for key ideas, with detailed examples.

Walter Gautschi Volume 1

Author : Claude Brezinski
ISBN : 9781461470342
Genre : Mathematics
File Size : 33. 11 MB
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Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi

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