Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas
Resumen
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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Derechos de autor 2022 Boletim da Sociedade Paranaense de Matemática
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Funding data
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Department of Atomic Energy, Government of India
Grant numbers Office Memo No.2/40(38)/2016/R$\&$D-II/1063
