Abstract

This study investigates a number of integrals possessing products of different indices of the univariate Lommel function, sμ,ν(a), with various elementary and special functions. As a consequence, connections between the function and Chebyshev polynomials of the first kind are established.

Details

Title
Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations
Author
da Fonseca, Carlos M 1 ; Glasser, M Lawrence 2 ; Kowalenko, Victor 3 

1  Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait; Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Kliment Ohridski Blvd. 8, 1000 Sofia, Bulgaria; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain 
2  Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47011 Valladolid, Spain; Department of Physics, Clarkson University, Potsdam, NY 13699-5820, United States of America 
3  School of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia 
Publication year
2025
Publication date
2025
Publisher
De Gruyter Poland
e-ISSN
23915455
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1515/math-2024-0113
ProQuest document ID
3163585560
Copyright
© 2025. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.