Title :
Method of factorization and its applications
Author :
Krasnopevtsev, E.A.
Abstract :
Summary form only given. The method of factorization, developed by the author, is used for solving homogeneous linear second order differential equations of hypergeometric type. The author obtained the solution in Rodrig´s form, orthonormality condition, operators decreasing and increasing the order of solution, generating function. Results are applied to classical orthogonal polynomials and some quantum systems.
Keywords :
computational geometry; differential equations; quantum theory; Rodrig form; factorization method; homogeneous linear second order differential equation; hypergeometric type; orthonormality condition; Absorption; Biological tissues; Biomedical optical imaging; Catheters; Databases; Discharges; Economic indicators; Medical diagnosis; Optical surface waves; Piezoelectric materials;
Conference_Titel :
Electronic Instrument Engineering, 2008. APEIE 2008. 9th International Conference on Actual Problems of
Conference_Location :
Novosibirsk
Print_ISBN :
978-1-4244-2825-0
DOI :
10.1109/APEIE.2008.4897096
