New classes of orthogonal polynomials

New classes of orthogonal polynomials

We show that two new classes of orthogonal polynomials can be derived by applying two orthogonalization procedures due to Löwdin to a set of monomials. They are new in that they possess novel properties in terms of their inner products with the monomials. Each class comprises sets of orthogonal poly...

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Veröffentlicht in:International journal of quantum chemistry 2006, Vol.106 (5), p.1258-1266
Hauptverfasser: Srivastava, Vipin, Ramesh Naidu, A.
Format: Artikel
Sprache:eng
Schlagworte:
canonical orthogonalization
Gram-Schmidt orthogonalization
Löwdin's symmetric orthogonalization
orthogonal polynomials
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Zusammenfassung:We show that two new classes of orthogonal polynomials can be derived by applying two orthogonalization procedures due to Löwdin to a set of monomials. They are new in that they possess novel properties in terms of their inner products with the monomials. Each class comprises sets of orthogonal polynomials that satisfy orthogonality conditions with respect to a weight function on a certain interval. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.20890