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Author : C. G. van der Laan
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.27/5 ( download)
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:
Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 9780471113133
Total Pages : 398 pages
Book Rating : 4.31/5 ( download)
Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 1996-02-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Author : Z. X. Wang
Publisher : World Scientific
ISBN 13 : 9789971506674
Total Pages : 720 pages
Book Rating : 4.7X/5 ( download)
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
Author : NIKIFOROV
Publisher : Springer Science & Business Media
ISBN 13 : 1475715951
Total Pages : 443 pages
Book Rating : 4.58/5 ( download)
Download or read book Special Functions of Mathematical Physics written by NIKIFOROV and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem (§3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type (§§12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics.
Author : Clifford Truesdell
Publisher : Princeton University Press
ISBN 13 : 1400882370
Total Pages : 182 pages
Book Rating : 4.73/5 ( download)
Download or read book An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 written by Clifford Truesdell and published by Princeton University Press. This book was released on 2016-03-02 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming.
Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
Publisher : Oxford University Press, USA
ISBN 13 : 9780198505730
Total Pages : 318 pages
Book Rating : 4.36/5 ( download)
Download or read book Special Functions written by Sergeĭ I︠U︡rʹevich Slavi︠a︡nov and published by Oxford University Press, USA. This book was released on 2000 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Author : Carlo Viola
Publisher : Springer
ISBN 13 : 3319413457
Total Pages : 168 pages
Book Rating : 4.57/5 ( download)
Download or read book An Introduction to Special Functions written by Carlo Viola and published by Springer. This book was released on 2016-10-31 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.
Author : Valeriya Akhmedova
Publisher : Springer Nature
ISBN 13 : 3030350894
Total Pages : 116 pages
Book Rating : 4.95/5 ( download)
Download or read book Selected Special Functions for Fundamental Physics written by Valeriya Akhmedova and published by Springer Nature. This book was released on 2019-11-14 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.
Author : E. T. Whittaker
Publisher : Cambridge University Press
ISBN 13 : 9780521588072
Total Pages : 620 pages
Book Rating : 4.73/5 ( download)
Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1927 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
Author : Refaat El Attar
Publisher : Lulu.com
ISBN 13 : 0557037638
Total Pages : 311 pages
Book Rating : 4.36/5 ( download)
Download or read book Special Functions written by Refaat El Attar and published by Lulu.com. This book was released on 2005-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
