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Rational Approximations For The Incomplete Gamma Function
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Book Synopsis Rational Approximations for the Incomplete Gamma Function by : Midwest Research Institute (Kansas City, Mo.)
Download or read book Rational Approximations for the Incomplete Gamma Function written by Midwest Research Institute (Kansas City, Mo.) and published by . This book was released on 1962 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Further Rational Approximations for the Incomplete Gamma Functions by : Midwest Research Institute (Kansas City, Mo.)
Download or read book Further Rational Approximations for the Incomplete Gamma Functions written by Midwest Research Institute (Kansas City, Mo.) and published by . This book was released on 1963 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Further Rational Approximations for the Incomplete Gamma Function by : Yudell L. Luke
Download or read book Further Rational Approximations for the Incomplete Gamma Function written by Yudell L. Luke and published by . This book was released on 1963 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a previous report we studied rational approximations to the incomplete gamma function. These were based on the asymptotic expansion of the latter function. In the present study, a similar analysis is done for the same function based on one of its ascending series representations. The work is related to other developments, but there are numerous improvements and some new features.
Book Synopsis Special Functions and Their Approximations: v. 2 by : Yudell L. Luke
Download or read book Special Functions and Their Approximations: v. 2 written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Functions and Their Approximations: v. 2
Book Synopsis Mathematical Functions and Their Approximations by : Yudell L. Luke
Download or read book Mathematical Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 2014-05-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Calculation of Special Functions by : C. G. van der Laan
Download or read book Calculation of Special Functions written by C. G. van der Laan and published by . This book was released on 1984 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of the Incomplete Gamma Function, [subscript] X↑2-tests by : Triumf
Download or read book Approximation of the Incomplete Gamma Function, [subscript] X↑2-tests written by Triumf and published by . This book was released on 1992 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Special Functions and Their Approximations by : Yudell L. Luke
Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algorithms for Rational Approximations for a Confluent Hypergeometric Function by : Yudell L. Lake
Download or read book Algorithms for Rational Approximations for a Confluent Hypergeometric Function written by Yudell L. Lake and published by . This book was released on 1976 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the authors' volumes on the special functions, rational approximations for the confluent hypergeometric function (z sup a)U(a;c;z) were examined in some detail. This confluent function is very important in the applications since it includes as special cases the incomplete gamma function (special cases of which are exponential, sine and cosine integrals, Fresnel integrals and the error function), Bessel functions, parabolic cylinder functions and Coulomb wave functions. In the special case where a is unity, the confluent function becomes an incomplete gamma function. In this event, complete a priori error analyses for the main diagonal Pade approximations and much more were presented. For general parameters, the rational approximations treated were not of the Pade class. It was shown that the rational approximations converge, but a complete a priori analysis was not available. One of the purposes of this report is to correct this deficiency. FORTRAN programs are provided to evaluate the Pade and non-Pade rational approximations by using the appropriate recursion formulas to generate the numerator and denominator polynomials as a number, and to also evaluate the coefficients which define these polynomials.
Book Synopsis On a Class of Incomplete Gamma Functions with Applications by : M. Aslam Chaudhry
Download or read book On a Class of Incomplete Gamma Functions with Applications written by M. Aslam Chaudhry and published by CRC Press. This book was released on 2001-08-21 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations
Book Synopsis Algorithms for Rational Approximations for a Confluent Hypergeometric Function II. by : Yudell L. Luke
Download or read book Algorithms for Rational Approximations for a Confluent Hypergeometric Function II. written by Yudell L. Luke and published by . This book was released on 1976 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a sequel to a previous paper where rational approximations for the confluent hypergeometric function were treated. Here we take up rational approximations for (1)F(1)(a;c;-z). The confluent functions are very important in the applications since they include as special cases the incomplete gamma function Bessel functions, parabolic cylinder functions and Coulomb wave functions. In the special case where a is unity, the confluent function becomes an incomplete gamma function. In this event, complete a priori error analyses for the main diagonal Pade approximations and much more were presented. For general parameters, the rational approximations treated were not of the Pade class. It was shown that the rational approximations converge, but a complete a priori analysis was not available. One of the purposes of this report is to correct this deficiency.
Book Synopsis Pade and Rational Approximation by : E.B. Safe
Download or read book Pade and Rational Approximation written by E.B. Safe and published by Elsevier. This book was released on 2013-05-09 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padé and Rational Approximation: Theory and Applications presents the proceedings of the Conference on Rational Approximation with Emphasis on Applications of Padé Approximants, held in Tampa, Florida on December 15-17, 1976. The contributors focus on the interplay of theory, computation, and physical applications. This book is composed of six parts encompassing 44 chapters. The introductory part discusses the general theory of orthogonal polynomials that is the mathematical basis of Padé approximants and related matters evaluation. This text also examines the connection between approximants on a stepline in the ordinary Padé table and certain continued fractions and the convergence of diagonal Padé approximants to a class of functions with an even number of branch points. The following parts deal with the special functions and continued fractions of Padé approximation and the theory of rational approximations. These parts also investigate the geometric convergence of Chebyshev rational approximation on the half line, the optimal approximation by “Almost Classical interpolation, and the incomplete polynomials approximation. The discussion then shifts to the physical applications and computations of the Padé approximants. The concluding part presents the applications of rational approximation to gun fire control and to the White Sands Missile Range Computer Facility. This part also provides a list of some open problems and conjectures concerning polynomials and rational functions. This book is of great benefit to mathematicians, physicists, and laboratory workers.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Without Boundaries by : Themistocles M. Rassias
Download or read book Mathematics Without Boundaries written by Themistocles M. Rassias and published by Springer. This book was released on 2014-09-17 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.
Book Synopsis Rational Approximations to a Class of G-functions by : Jerry L. Fields
Download or read book Rational Approximations to a Class of G-functions written by Jerry L. Fields and published by . This book was released on 1969 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed 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).
Book Synopsis NIST Handbook of Mathematical Functions Hardback and CD-ROM by : Frank W. J. Olver
Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Book Synopsis Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables by : Milton Abramowitz
Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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