Special Functions of Mathematical Physics: A Unified Introduction with Applications (Paperback) (ISBN-13: 9781475715972)

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: Nikiforov, Uvarov
ISBN-10: 1475715978
ISBN-13: 9781475715972
Publisher: Birkhauser
Language: English
Published: 04/27/2013
Pages: 427
Format: Paperback
Weight: 1.13lbs
Size: 8.50h x 5.50w x 0.91d