On a Family of $(p,q)$-Hybrid Polynomials
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 407

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In this paper, the class of $(p,q)$-Bessel-Appell polynomials is introduced. The generating function, series definition and determinant definition of this class are established. Certain members of $(p,q)$-Bessel-Appell polynomials are considered and some properties of these members are also derived. Further, the class of 2D $(p,q)$-Bessel-Appell polynomials is introduced by means of the generating function and series definition. In addition, the graphical representations of some members of $(p,q)$-Bessel-Appell polynomials and 2D $(p,q)$-Bessel-Appell polynomials are plotted with the help of Matlab.
Classification : 05A30, 11B83 11B68
Keywords: $(p;q)$-Bessel polynomials, generating relations, determinant definition, $(p;q)$-Appell polynomials
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     author = {Ghazala Yasmin and Abdulghani Muhyi},
     title = {On a {Family} of $(p,q)${-Hybrid} {Polynomials}},
     journal = {Kragujevac Journal of Mathematics},
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     publisher = {mathdoc},
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     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a6/}
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Ghazala Yasmin; Abdulghani Muhyi. On a Family of $(p,q)$-Hybrid Polynomials. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 3, p. 407 . http://geodesic.mathdoc.fr/item/KJM_2021_45_3_a6/