An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 PDF Download
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Author: Clifford Truesdell
Publisher: Princeton University Press
ISBN: 1400882370
Category : Mathematics
Languages : en
Pages : 182
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Book Description
The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming.
Author: Clifford Truesdell
Publisher: Princeton University Press
ISBN: 1400882370
Category : Mathematics
Languages : en
Pages : 182
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Book Description
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: 9780198505730
Category : Mathematics
Languages : en
Pages : 318
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Book Description
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: Clifford A. Truesdell
Publisher:
ISBN: 9780527027346
Category :
Languages : en
Pages :
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Book Description
Author: Clifford Truesdell
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 200
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Book Description
Author: Clifford Ambrose Truesdell
Publisher:
ISBN:
Category :
Languages : en
Pages : 182
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Book Description
Author: C. Truesdell
Publisher:
ISBN:
Category :
Languages : de
Pages : 182
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Book Description
Author:
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 182
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Book Description
Author: Nico M. Temme
Publisher: John Wiley & Sons
ISBN: 9780471113133
Category : Mathematics
Languages : en
Pages : 398
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Book Description
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
Publisher: Springer Science & Business Media
ISBN: 1475715951
Category : Mathematics
Languages : en
Pages : 443
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Book Description
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: Wolfgang Lay
Publisher: Cambridge University Press
ISBN: 1009546589
Category : Mathematics
Languages : en
Pages : 316
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Book Description
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.
