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Generating function for rotation matrix elements
Author(s) -
Akdemir S. Ö.,
Öztekin E.
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.23024
Subject(s) - hypergeometric function , rotation (mathematics) , jacobi polynomials , legendre polynomials , rotation matrix , matrix (chemical analysis) , mathematics , pure mathematics , generating function , function (biology) , matrix function , associated legendre polynomials , mathematical analysis , physics , classical orthogonal polynomials , gegenbauer polynomials , symmetric matrix , orthogonal polynomials , chemistry , geometry , quantum mechanics , eigenvalues and eigenvectors , chromatography , evolutionary biology , biology
The rotation matrix elements are expressed in terms of the Jacobi, Hypergeometric, and Legendre polynomials in the literature. In this study, the generating function is presented for rotation matrix elements by using properties of Jacobi polynomials. In addition, some special values and Rodrigues' formula of rotation matrix elements are obtained by using the generating function. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012