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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.
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Contenuti
I Foundations of the theory of special functions.- II The classical orthogonal polynomials.- III Bessel functions.- IV Hypergeometric functions.- V Solution of some problems of mathematical physics, quantum mechanics and numerical analysis.- Appendices.- A. The Gamma function.- B. Analytic properties and asymptotic representations of Laplace integrals.- Basic formulas.- List of tables.- References.- Index of notations.- List of figures.
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Special Functions of Mathematical Physics: A Unified Introduction with Applications
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Special Functions of Mathematical Physics
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Birkhäuser Boston Apr 2013, 2013
ISBN 10: 1475715978
ISBN 13: 9781475715972
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 448 pp. Englisch. Codice articolo 9781475715972
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Special Functions of Mathematical Physics
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Birkhäuser Boston, Birkhäuser Boston Apr 2013, 2013
ISBN 10: 1475715978
ISBN 13: 9781475715972
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 448 pp. Englisch. Codice articolo 9781475715972
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Special Functions of Mathematical Physics: A Unified Introduction with Applications
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Special Functions of Mathematical Physics : A Unified Introduction with Applications
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Birkhäuser Boston, Birkhäuser Boston, 2013
ISBN 10: 1475715978
ISBN 13: 9781475715972
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9781475715972
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Special Functions of Mathematical Physics: A Unified Introduction with Applications
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Birkhauser Boston Inc, 2013
ISBN 10: 1475715978
ISBN 13: 9781475715972
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Condizione: New. Print on Demand pp. 448 Figures, 22:B&W 5.5 x 8.5 in or 216 x 140 mm (Demy 8vo) Perfect Bound on White w/Gloss Lam, Codice articolo 94566982
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