In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-fractional integrals of Erdelyi-Kober type and generalized Weyl type fractional operators. The study concludes with a variety of results that can be obtained by using the relationship between the Erdelyi-Kober type and the Riemann-Liouville q-fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q-fractional integrals./p
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机译:在本文中,我们推导了四个定理,这些定理是关于一般多项式的 q 类数与 I 函数的 q 类数的乘积的分数积分图像。为了说明我们的主要结果,我们使用了Erdelyi-Kober型的q分数积分和广义Weyl型分数算子。该研究的结论是,利用Erdelyi-Kober型和Riemann-Liouville q分数阶积分之间的关系,以及广义Weyl型和Weyl型q分数阶积分之间的关系,可以得到多种结果。
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