Some Estimates for Certain q-analogs of Gamma Integral Transform Operators

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dc.contributor.authorAl-Omari, Shrideh
dc.contributor.authorSalameh, Wael
dc.contributor.authorAlhazmi, Sharifah
dc.date.accessioned2025-09-09T05:43:35Z
dc.date.available2025-09-09T05:43:35Z
dc.date.issued2024-10-15
dc.descriptionWithin the subject of the classical mathematical analysis, one essential topic of study is the quantum (or q-) calculus.
dc.description.abstractThe aim of this work is to examine some q-analogs and differential properties of the gamma integral operator and its convolution products. The q-gamma integral operator is introduced in two versions in order to derive pertinent conclusions regarding the q-exponential functions. Also, new findings on the q-trigonometric, q-sine, and q-cosine functions are extracted. In addition, novel results for first and second-order q-differential operators are established and extended to Heaviside unit step functions. Lastly, three crucial convolution products and extensive convolution theorems for the q-analogs are also provided. Keywords: Q-Gamma Operator, Integral Operator, Q-Analogs, Differential Operator, Symmetrical Polynomials
dc.identifier.citationAl-Omari, S., Salameh, W., & Alhazmi, S. (2024). Some Estimates for Certain q-analogs of Gamma Integral Transform Operators. Symmetry, 16(10), 1368.
dc.identifier.doihttps://doi.org/10.3390/sym16101368
dc.identifier.urihttps://repository.adu.ac.ae/handle/1/7401
dc.language.isoen
dc.publisherMDPI
dc.titleSome Estimates for Certain q-analogs of Gamma Integral Transform Operators
dc.typeArticle

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