Special Functions of Mathematical Physics : A Unified Introduction with Applications

Nikiforov

ISBN 10: 1475715978 / ISBN 13: 9781475715972

Published by Birkhäuser, Birkhäuser, 2013

About this Item

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.

Seller Inventory # 9781475715972

Bibliographic Details

• Title: Special Functions of Mathematical Physics : A Unified Introduction with Applications
• Publisher: Birkhäuser, Birkhäuser
• Publication Date: 2013
• Language: English
• ISBN 10: 1475715978
• ISBN 13: 9781475715972
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 216W x 140H x 25D millimeters 216 millimeters width by 140 millimeters height by 25 millimeters depth
• Weight: 560 grams

About this title

Synopsis

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.

Language Notes

Text: English, Russian (translation)