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Uniform Asymptotic Approximations For Whittakers Functions
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Book Synopsis Asymptotic Approximations of Integrals by : R. Wong
Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by Academic Press. This book was released on 2014-05-10 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
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 Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun.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 Asymptotics and Special Functions by : F. W. J. Olver
Download or read book Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Asymptotic Forms of Whittaker's Confluent Hypergeometric Functions by : Arthur Erdélyi
Download or read book Asymptotic Forms of Whittaker's Confluent Hypergeometric Functions written by Arthur Erdélyi and published by American Mathematical Soc.. This book was released on 1957 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotics and Special Functions by : Frank Olver
Download or read book Asymptotics and Special Functions written by Frank Olver and published by CRC Press. This book was released on 1997-01-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Book Synopsis Selected Papers of F.W.J. Olver by : Frank W. J. Olver
Download or read book Selected Papers of F.W.J. Olver written by Frank W. J. Olver and published by World Scientific. This book was released on 2000 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic and Computational Analysis by : R. Wong
Download or read book Asymptotic and Computational Analysis written by R. Wong and published by CRC Press. This book was released on 2020-12-17 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.
Book Synopsis Asymptotic Methods For Integrals by : Nico M Temme
Download or read book Asymptotic Methods For Integrals written by Nico M Temme and published by World Scientific. This book was released on 2014-10-31 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Download or read book Report AM-R written by and published by . This book was released on 1989 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Springer Handbook of Atomic, Molecular, and Optical Physics by : Gordon W. F. Drake
Download or read book Springer Handbook of Atomic, Molecular, and Optical Physics written by Gordon W. F. Drake and published by Springer Nature. This book was released on 2023-02-09 with total page 1436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises a comprehensive reference source that unifies the entire fields of atomic molecular and optical (AMO) physics, assembling the principal ideas, techniques and results of the field. 92 chapters written by about 120 authors present the principal ideas, techniques and results of the field, together with a guide to the primary research literature (carefully edited to ensure a uniform coverage and style, with extensive cross-references). Along with a summary of key ideas, techniques, and results, many chapters offer diagrams of apparatus, graphs, and tables of data. From atomic spectroscopy to applications in comets, one finds contributions from over 100 authors, all leaders in their respective disciplines. Substantially updated and expanded since the original 1996 edition, it now contains several entirely new chapters covering current areas of great research interest that barely existed in 1996, such as Bose-Einstein condensation, quantum information, and cosmological variations of the fundamental constants. A fully-searchable CD- ROM version of the contents accompanies the handbook.
Book Synopsis Radiation and Scattering of Waves by : Leopold B. Felsen
Download or read book Radiation and Scattering of Waves written by Leopold B. Felsen and published by John Wiley & Sons. This book was released on 1994-01-15 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: As relevant today as it was when it was first published 20 years ago, this book is a classic in the field. Nowhere else can you find more complete coverage of radiation and scattering of waves. The chapter: Asympotic Evaluation of Integrals is considered the definitive source for asympotic techniques. This book is essential reading for engineers, physicists and others involved in the fields of electromagnetics and acoustics. It is also an indispensable reference for advanced engineering courses.
Book Synopsis Theory and Application of Special Functions by : Richard Askey
Download or read book Theory and Application of Special Functions written by Richard Askey and published by Academic Press. This book was released on 2014-05-10 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.
Book Synopsis Particle Physics At The Year Of 150th Anniversary Of The Mendeleev's Periodic Table Of Chemical Elements - Proceedings Of The Nineteenth Lomonosov Conference On Elementary Particle Physics by : Alexander I Studenikin
Download or read book Particle Physics At The Year Of 150th Anniversary Of The Mendeleev's Periodic Table Of Chemical Elements - Proceedings Of The Nineteenth Lomonosov Conference On Elementary Particle Physics written by Alexander I Studenikin and published by World Scientific. This book was released on 2021-06-03 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume of these proceedings is devoted to a wide variety of items, both in theory and experiment, of particle physics such as electroweak theory, fundamental symmetries, tests of standard model and beyond, neutrino and astroparticle physics, hadron physics, gravitation and cosmology, physics at the present and future accelerators.
Book Synopsis Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions by : Helge Skovgaard
Download or read book Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions written by Helge Skovgaard and published by . This book was released on 1966 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Research of the National Bureau of Standards by :
Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1975 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1978 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Publications by : United States. National Bureau of Standards
Download or read book Publications written by United States. National Bureau of Standards and published by . This book was released on 1977 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
