Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas
The article aims to introduce a densely generated class of $2D$ $q$-Appell polynomials of Bessel type via generating equation and to establish its $q$-determinant form. It is advantageous to consider the $2D$ $q$-Bernoulli, $2D$ $q$-Roger Szeg\"{o} and $2D$ $q$-Al-Salam Carlitz polynomials of...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46923 |
| _version_ | 1797633476716920832 |
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| author | Mumtaz Riyasat |
| author_facet | Mumtaz Riyasat |
| author_sort | Mumtaz Riyasat |
| collection | DOAJ |
| description |
The article aims to introduce a densely generated class of $2D$ $q$-Appell polynomials of Bessel type via generating equation and to establish its $q$-determinant form. It is advantageous to consider the $2D$ $q$-Bernoulli, $2D$ $q$-Roger Szeg\"{o} and $2D$ $q$-Al-Salam Carlitz polynomials of Bessel type as their special members. The $q$-determinant forms and certain $q$-addition formulas are derived for these polynomials. The article concludes with a brief view on discrete $q$-Bessel convolution of the $2D$ $q$-Appell polynomials.
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| first_indexed | 2024-03-11T11:54:33Z |
| format | Article |
| id | doaj.art-2748b790b7954a1dabdf2ba1ae808579 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:33Z |
| publishDate | 2022-02-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-2748b790b7954a1dabdf2ba1ae8085792023-11-08T19:49:23ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-02-014010.5269/bspm.46923Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulasMumtaz Riyasat0Aligarh Muslim University The article aims to introduce a densely generated class of $2D$ $q$-Appell polynomials of Bessel type via generating equation and to establish its $q$-determinant form. It is advantageous to consider the $2D$ $q$-Bernoulli, $2D$ $q$-Roger Szeg\"{o} and $2D$ $q$-Al-Salam Carlitz polynomials of Bessel type as their special members. The $q$-determinant forms and certain $q$-addition formulas are derived for these polynomials. The article concludes with a brief view on discrete $q$-Bessel convolution of the $2D$ $q$-Appell polynomials. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46923 |
| spellingShingle | Mumtaz Riyasat Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas Boletim da Sociedade Paranaense de Matemática |
| title | Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas |
| title_full | Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas |
| title_fullStr | Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas |
| title_full_unstemmed | Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas |
| title_short | Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas |
| title_sort | densely generated 2d q appell polynomials of bessel type and q addition formulas |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46923 |
| work_keys_str_mv | AT mumtazriyasat denselygenerated2dqappellpolynomialsofbesseltypeandqadditionformulas |