A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices - Publication - Bridge of Knowledge

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A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices

Abstract

The orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices is evaluated in a closed form. It is found to be proportional to a sum of two terms, both depending on the second upper indices and containing the Dirac delta distribution.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS no. 25, edition 4, pages 312 - 317,
ISSN: 1065-2469
Language:
English
Publication year:
2014
Bibliographic description:
Szmytkowski R., Bielski S.: A Dirac delta-type orthogonality relation for the on-the-cut generalized associated Legendre functions of the first kind with imaginary second upper indices// INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. -Vol. 25, iss. 4 (2014), s.312-317
DOI:
Digital Object Identifier (open in new tab) 10.1080/10652469.2013.842235
Verified by:
Gdańsk University of Technology

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