Orthogonality relations for the associated Legendre functions of imaginary order

Sebastian Bielski

doi:10.1080/10652469.2012.690097

Orthogonality relations for the associated Legendre functions of imaginary order

Abstract

Orthogonality relations for the associated Legendre functions of imaginary order are derived. They are expressed in terms of the Dirac delta function. The method is based on some known properties of the associated Legendre functions and the Dirac delta distribution. A special case of one of the relations has appeared in some recent applications.

Citations

1 2

CrossRef
0

Web of Science
1 5

Scopus

Author (1)

Sebastian Bielski dr inż.

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS no. 24, edition 4, pages 331 - 337,
ISSN: 1065-2469
Language:: English
Publication year:: 2013
Bibliographic description:: Bielski S.: Orthogonality relations for the associated Legendre functions of imaginary order// INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. -Vol. 24, iss. 4 (2013), s.331-337
DOI:: Digital Object Identifier (open in new tab) 10.1080/10652469.2012.690097
Verified by:: Gdańsk University of Technology