Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations
This study investigates a number of integrals possessing products of different indices of the univariate Lommel function, sμ,ν(a){s}_{\mu ,\nu }\left(a), with various elementary and special functions. As a consequence, connections between the function and Chebyshev polynomials of the first kind are...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2024-0113 |
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| author | da Fonseca Carlos M. Glasser M. Lawrence Kowalenko Victor |
| author_facet | da Fonseca Carlos M. Glasser M. Lawrence Kowalenko Victor |
| author_sort | da Fonseca Carlos M. |
| collection | DOAJ |
| description | This study investigates a number of integrals possessing products of different indices of the univariate Lommel function, sμ,ν(a){s}_{\mu ,\nu }\left(a), with various elementary and special functions. As a consequence, connections between the function and Chebyshev polynomials of the first kind are established. |
| format | Article |
| id | doaj-art-051912bba7184cf587e9e22bc8f7aa65 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-051912bba7184cf587e9e22bc8f7aa652025-02-10T13:24:35ZengDe GruyterOpen Mathematics2391-54552025-02-0123122323310.1515/math-2024-0113Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representationsda Fonseca Carlos M.0Glasser M. Lawrence1Kowalenko Victor2Kuwait College of Science and Technology, Doha District, Safat 13133, KuwaitChair of Computational Mathematics, University of Deusto, 48007 Bilbao, SpainSchool of Mathematics and Statistics, The University of Melbourne, Victoria 3010, AustraliaThis study investigates a number of integrals possessing products of different indices of the univariate Lommel function, sμ,ν(a){s}_{\mu ,\nu }\left(a), with various elementary and special functions. As a consequence, connections between the function and Chebyshev polynomials of the first kind are established.https://doi.org/10.1515/math-2024-0113bessel functionchebyshev polynomial of the first kindfourier transformgeneralized hypergeometric functionindex/order integrallommel functionparameterspecial functions33c4744a1544a20 |
| spellingShingle | da Fonseca Carlos M. Glasser M. Lawrence Kowalenko Victor Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations Open Mathematics bessel function chebyshev polynomial of the first kind fourier transform generalized hypergeometric function index/order integral lommel function parameter special functions 33c47 44a15 44a20 |
| title | Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations |
| title_full | Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations |
| title_fullStr | Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations |
| title_full_unstemmed | Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations |
| title_short | Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations |
| title_sort | chebyshev polynomials of the first kind and the univariate lommel function integral representations |
| topic | bessel function chebyshev polynomial of the first kind fourier transform generalized hypergeometric function index/order integral lommel function parameter special functions 33c47 44a15 44a20 |
| url | https://doi.org/10.1515/math-2024-0113 |
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