On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials
In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de F$\acute{e}$riet function. We have also deriv...
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709281_f7f52d9347c19980014d236d56d7338b.pdf |
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| author | Biniyam Shimelis Dayalal Suthar |
| author_facet | Biniyam Shimelis Dayalal Suthar |
| author_sort | Biniyam Shimelis |
| collection | DOAJ |
| description | In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de F$\acute{e}$riet function. We have also derived polynomials as a specific example of our significant findings. |
| format | Article |
| id | doaj-art-78a7fea169c94d7db608ca929612a8be |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-78a7fea169c94d7db608ca929612a8be2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121214716610.22130/scma.2023.2001797.1317709281On Saigo Fractional $q$-Calculus of a General Class of $q$-PolynomialsBiniyam Shimelis0Dayalal Suthar1Department of Mathematics, College of Natural Science, Wollo University, P.O. Box 1145, Dessie, Ethiopia.Department of Mathematics, College of Natural Science, Wollo University, P.O. Box 1145, Dessie, Ethiopia.In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial, $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de F$\acute{e}$riet function. We have also derived polynomials as a specific example of our significant findings.https://scma.maragheh.ac.ir/article_709281_f7f52d9347c19980014d236d56d7338b.pdfsaigo fractional $q$-integral operatorsgeneral class of $q$-polynomials$q$-jacobi polynomials$q$-konhouser polynomials$q$-kampe de feriet function |
| spellingShingle | Biniyam Shimelis Dayalal Suthar On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials Sahand Communications in Mathematical Analysis saigo fractional $q$-integral operators general class of $q$-polynomials $q$-jacobi polynomials $q$-konhouser polynomials $q$-kampe de feriet function |
| title | On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials |
| title_full | On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials |
| title_fullStr | On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials |
| title_full_unstemmed | On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials |
| title_short | On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials |
| title_sort | on saigo fractional q calculus of a general class of q polynomials |
| topic | saigo fractional $q$-integral operators general class of $q$-polynomials $q$-jacobi polynomials $q$-konhouser polynomials $q$-kampe de feriet function |
| url | https://scma.maragheh.ac.ir/article_709281_f7f52d9347c19980014d236d56d7338b.pdf |
| work_keys_str_mv | AT biniyamshimelis onsaigofractionalqcalculusofageneralclassofqpolynomials AT dayalalsuthar onsaigofractionalqcalculusofageneralclassofqpolynomials |