On monomiality property of <i>q</i> -Gould-Hopper-Appell polynomials

Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials. The article intends to reframe the q-Gould Hopper-Appell polynomials via the extension of the monomiality principle concept and establish their properties. Certain examples are considered. Concluding observations are specified for certain results of q-Gould-Hopper-Sheffer polynomials from the viewpoint of the operational identity of q-Gould-Hopper-Appell polynomials.

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Publication Details

Journal
Arab Journal of Basic and Applied Sciences
Published
2025-01-29
DOI
https://doi.org/10.1080/25765299.2025.2457206
Citations
2
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
10.76
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article

On monomiality property of q -Gould-Hopper-Appell polynomials

Subuhi Khan, Mohammed Fadel, Nusrat Raza
2 citations
Arab Journal of Basic and Applied Sciences
Advanced Mathematical Identities
10.76
article

On monomiality property of q -Gould-Hopper-Appell polynomials

Subuhi Khan, Mohammed Fadel, Nusrat Raza
article en
2 citations

Abstract

Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials. The article intends to reframe the q-Gould Hopper-Appell polynomials via the extension of the monomiality principle concept and establish their properties. Certain examples are considered. Concluding observations are specified for certain results of q-Gould-Hopper-Sheffer polynomials from the viewpoint of the operational identity of q-Gould-Hopper-Appell polynomials.

Arab Journal of Basic and Applied SciencesVol. 32(1)
Aligarh Muslim University (IN)
Openalex Percentile: Top 3%
Advanced Mathematical Identities
10.76
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