Download Full eBooks in PDF
Calculation Of Special Functions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Calculation Of Special Functions book. This book definitely worth reading, it is an incredibly well-written.
Author : C. G. van der Laan,N. M. Temme
Publisher : Unknown
Page : 250 pages
File Size : 52,6 Mb
Release : 1984
Category : Error functions
ISBN : UOM:39015015698627
Author : Z. X. Wang,D. R. Guo
Publisher : World Scientific
Page : 720 pages
File Size : 47,9 Mb
Release : 1989
Category : Mathematics
ISBN : 997150667X
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 : Nico M. Temme
Publisher : John Wiley & Sons
Page : 398 pages
File Size : 50,6 Mb
Release : 1996-02-22
Category : Mathematics
ISBN : 0471113131
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 : Clifford Truesdell
Publisher : Princeton University Press
Page : 182 pages
File Size : 48,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882373
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,Wolfgang Lay
Publisher : Oxford University Press, USA
Page : 318 pages
File Size : 43,7 Mb
Release : 2000
Category : Mathematics
ISBN : 0198505736
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 : Valeriya Akhmedova,Emil T. Akhmedov
Publisher : Springer Nature
Page : 116 pages
File Size : 47,5 Mb
Release : 2019-11-14
Category : Science
ISBN : 9783030350895
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 : Refaat El Attar
Publisher : Lulu.com
Page : 311 pages
File Size : 49,9 Mb
Release : 2005-12-06
Category : Technology & Engineering
ISBN : 9780557037636
(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.
Author : Carlo Viola
Publisher : Springer
Page : 168 pages
File Size : 49,8 Mb
Release : 2016-10-31
Category : Mathematics
ISBN : 9783319413457
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 : Yudell L. Luke
Publisher : Academic Press
Page : 348 pages
File Size : 54,5 Mb
Release : 1969
Category : Mathematics
ISBN : 9780080955605
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.
Author : A. Chakrabarti
Publisher : New Age International
Page : 172 pages
File Size : 47,5 Mb
Release : 2006
Category : Electronic
ISBN : 812240880X
Ordinary Differential Equations And Special Functions Form A Central Part In Many Branches Of Physics And Engineering. A Large Number Of Books Already Exist In These Areas And Informations Are Therefore Available In A Scattered Form. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associated With Linear Ordinary Differential Equations And The Special Functions Of Frequent Occurrence, In A Rather Elementary Form.The Methods Of Obtaining Series Solution Of Second Order Linear Ordinary Differential Equations Near An Ordinary Point As Well As Near A Regular Singular Point Have Been Explained In An Elegant Manner And, As Applications Of These Methods, The Special Functions Of Hermite And Bessel Have Been Dealt With.The Special Functions Of Legendre And Laguerre Have Also Been Discussed Briefly. An Appendix Is Prepared To Deal With Other Special Functions Such As The Beta Function, The Gamma Function, The Hypergeometric Functions And The Chebyshev Polynomials In A Short Form.The Topics Involving The Existence Theory And The Eigenvalue Problems Have Also Been Discussed In The Book To Create Motivation For Further Studies In The Subject.Each Chapter Is Supplemented With A Number Of Worked Out Examples As Well As A Number Of Problems To Be Handled For Better Understanding Of The Subject. R Contains A List Of Sixteen Important Books Forming The Bibliography.In This Second Edition The Text Has Been Thoroughly Revised.
Author : George E. Andrews,Richard Askey,Ranjan Roy
Publisher : Cambridge University Press
Page : 684 pages
File Size : 52,5 Mb
Release : 1999
Category : Mathematics
ISBN : 0521789885
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author : Nico M. Temme
Publisher : John Wiley & Sons
Page : 392 pages
File Size : 42,9 Mb
Release : 2011-03-01
Category : Mathematics
ISBN : 9781118030813
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 : NIKIFOROV,UVAROV
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 53,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475715958
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 : E. T. Whittaker,George Neville Watson,G. N. Watson
Publisher : Cambridge University Press
Page : 620 pages
File Size : 49,9 Mb
Release : 1927
Category : Mathematics
ISBN : 0521588073
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
Page : 312 pages
File Size : 41,5 Mb
Release : 2006
Category : Mathematics
ISBN : 9781411666900
(308 Pages). 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.