Abstract
This article presents the theory of trivariate q-truncated Gould-Hopper polynomials through a generating function approach utilizing q-calculus functions. These polynomials are subsequently examined within the framework of quasi-monomiality, leading to the establishment of fundamental operational identities. Operational representations are then derived, and q-differential and partial differential equations are formulated for the trivariate q-truncated Gould-Hopper polynomials. Summation formulae are presented to elucidate the analytical properties of these polynomials. Finally, graphical representations are provided to illustrate the behavior of trivariate q-truncated Gould-Hopper polynomials and their potential applications.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
quantum calculus <italic>q</italic>-truncated polynomials <italic>q</italic>-truncated-Gould-Hopper polynomials <italic>q</italic>-quasi monomiality fractional derivatives differential equations partial differential equations