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.
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.
Download or read book An Essay Toward a Unified Theory of Special Functions written by Clifford Truesdell and published by . This book was released on 1948 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unified Theory of Special Functions written by Clifford A. Truesdell and published by . This book was released on 1948-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Essay Toward a Unified Theory of Special Functions written by Clifford Ambrose Truesdell and published by . This book was released on 1992 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Essay Toward a Unified Theory of Special Functions written by C. Truesdell and published by . This book was released on 1965 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Higher Special Functions written by Wolfgang Lay and published by Cambridge University Press. This book was released on 2024-05-23 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.
Download or read book An Essay Toward a Unified Theory of Special Functions written by and published by . This book was released on 1965 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Notes on a Unified Theory of Special Functions written by T. J. C. Sulch and published by . This book was released on 1952 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book An Essay Toward a Unified Theory of Special Functions Based Upon the Functional Equation F z A written by Clifford Ambrose Truesdell and published by . This book was released on 1948 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Essay towards a Unified Theory of Special Functions based on the functional equation delta written by Clifford Truesdell and published by . This book was released on 1948 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Essay Towards a Unified Theory of Special Functions Based on the Functional Equation z F z written by Clifford Truesdell and published by . This book was released on 1948 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Essay Toward a Unified Theory of Special Functions Based Upon the Functional Equation by C Truesdell written by Clifford Ambrose Truesdell and published by . This book was released on 1948 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Essay Toward a Unified Theory of Special Functions Based Upon the Functional Equation F written by Clifford Truesdell and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
