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Author : Arthur Erdélyi,Charles Andrew Swanson
Publisher : American Mathematical Soc.
Page : 50 pages
File Size : 54,6 Mb
Release : 1957
Category : Mathematics
ISBN : 9780821812259
Author : Helge Skovgaard
Publisher : Unknown
Page : 104 pages
File Size : 49,6 Mb
Release : 1966
Category : Asymptotic expansions
ISBN : UCAL:B2672301
Author : Lucy Joan Slater
Publisher : Unknown
Page : 272 pages
File Size : 44,7 Mb
Release : 1960
Category : Mathematics
ISBN : STANFORD:36105030096007
Author : Frank Olver
Publisher : CRC Press
Page : 592 pages
File Size : 49,6 Mb
Release : 1997-01-24
Category : Mathematics
ISBN : 9781439864548
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.
Author : F. W. J. Olver
Publisher : Academic Press
Page : 589 pages
File Size : 50,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267449
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.
Author : Frank W. J. Olver
Publisher : World Scientific
Page : 548 pages
File Size : 42,5 Mb
Release : 2000
Category : Asymptotic expansions
ISBN : 9810249942
Author : Allen D. Ziebur
Publisher : Unknown
Page : 142 pages
File Size : 46,6 Mb
Release : 1950
Category : Electronic
ISBN : WISC:89011011574
Author : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 54,8 Mb
Release : 1965-01-01
Category : Mathematics
ISBN : 0486612724
An extensive summary of mathematical functions that occur in physical and engineering problems
Author : Wolfgang Wasow
Publisher : Courier Dover Publications
Page : 385 pages
File Size : 50,6 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9780486824581
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
Author : A. M. Mathai,R. K. Saxena
Publisher : Unknown
Page : 340 pages
File Size : 51,9 Mb
Release : 1973
Category : Mathematics
ISBN : CORNELL:31924000210421
Author : Milton Abramowitz,Irene A. Stegun
Publisher : Unknown
Page : 1060 pages
File Size : 45,9 Mb
Release : 1968
Category : Mathematics
ISBN : UCBK:C036344959
Author : Richard Askey
Publisher : Academic Press
Page : 573 pages
File Size : 49,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483216164
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.
Author : Nicholas D. Kazarinoff
Publisher : Unknown
Page : 100 pages
File Size : 48,5 Mb
Release : 1953
Category : Electronic
ISBN : WISC:89011205408
Author : K. G. Budden
Publisher : Cambridge University Press
Page : 694 pages
File Size : 50,5 Mb
Release : 1988-08-04
Category : Science
ISBN : 0521369525
This book is concerned with the ionosphere and the magnetosphere, and the theory of their effect on radio waves. It includes accounts of some mathematical topics now widely used in this study, particularly W. K. B. approximations, Airy integral functions and integration by steepest descents. The subject is divided into ray theory and full wave theory. Ray theory is useful for high frequencies when the ionosphere is treated as a horizonally stratified medium. The discussion of the magnetosphere, whose structure is more complicated, includes an account of whistlers and ion cyclotron whistlers. The book has been planned both for final year undergraduates and as a reference book for research. It is suitable as a course book on radio propagation for students of physics or electrical engineering or mathematics. Some of the topics are presented from an elementary viewpoint so as to help undergraduates new to the subject. The later parts are more advanced. Because the subject is so large and has seen many important recent advances, some topics have had to be treated briefly, but there is a full bibliography with about 600 references.
Author : Gary C. Cohen
Publisher : SIAM
Page : 830 pages
File Size : 47,5 Mb
Release : 1995-01-01
Category : Science
ISBN : 0898713501
This volume contains the papers presented at the title conference. Speakers from 13 different countries were represented at the meeting. A broad range of topics in theoretical and applied wave propagation is covered.
