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:

Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems

Download or read book Lie Algebras and Lie Groups written by and published by American Mathematical Soc.. This book was released on 1955 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Mathematical Society, with the financial support of the National Science Foundation, held its First Summer Mathematical Institute from June 20 to July 31, 1953. The topic chosen was Lie theory, twenty-nine mathematicians active in this area attended. The six-week period provided opportunity both for the interchange of ideas and for the subsequent shaping of ideas into theorems. The five papers present some results achieved by the participants.--Foreword.

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.

Download or read book Theory of Electron Atom Collisions written by Philip G. Burke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors aim to hone the theory of electron-atom and electron-ion collisions by developing mathematical equations and comparing their results to the wealth of recent experimental data. This first of three parts focuses on potential scattering, and will serve as an introduction to many of the concepts covered in Parts II and III. As these processes occur in so many of the physical sciences, researchers in astrophysics, atmospheric physics, plasma physics, and laser physics will all benefit from the monograph.

Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1977 with total page 1046 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Confluent Hypergeometric Functions written by Lucy Joan Slater and published by . This book was released on 1960 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Electroweak and Strong Interactions written by Florian Scheck and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to relativistic quantum mechanics, which lays the foundation for the rest of the text, the author moves on to the phenomenology and physics of fundamental interactions via a detailed discussion of the empirical principles of unified theories of strong, electromagnetic, and weak interactions. There then follows a development of local gauge theories and the minimal standard model of the fundamental interactions together with their characteristic applications. The book concludes with further possibilities and the theory of interactions for elementary particles probing complex nuclei. Numerous exercises with solutions make this an ideal text for graduate courses on quantum mechanics and elementary particle physics.

Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview that advises when to use specific methods depending upon the function and range.

Download or read book Walter Gautschi Volume 3 written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2013-10-24 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1966 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Expansions for Ordinary Differential Equations written by Wolfgang Wasow and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Special Functions written by Z. X. Wang and published by World Scientific. This book was released on 1989 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the various principal special functions in common use and their basic properties and manipulations. Discusses expansions of functions in infinite series and infinite product and the asymptotic expansion of functions. For physicists, engineers, and mathematicians. Acidic paper. Paper edition (unseen), $38. Annotation copyrighted by Book News, Inc., Portland, OR

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.

Download or read book Handbook of Geometry and Topology of Singularities VI Foliations written by Felipe Cano and published by Springer Nature. This book was released on with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Scattering of Light and Other Electromagnetic Radiation written by Milton Kerker and published by Elsevier. This book was released on 2016-06-03 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scattering of Light and other Electromagnetic Radiation covers the theory of electromagnetic scattering and its practical applications to light scattering. This book is divided into 10 chapters that particularly present examples of practical applications to light scattering from colloidal and macromolecular systems. The opening chapters survey the physical concept of electromagnetic waves and optics. The subsequent chapters deal with the theory of scattering by spheres and infinitely long cylinders. These topics are followed by discussions on the application of light scattering to the determination of the size distribution of colloidal particles. The last chapters are devoted to the Rayleigh-Debye scattering and the scattering by liquids, as well as the concept of anisotropy. These chapters also describe the effect upon light scattering of partial orientation of anisotropic particles in electrical and magnetic fields and in viscous flow. This book is of value to physical chemists and physical chemistry researchers, teachers, and students.