In this study, the S-function is applied to Saigo’s -fractional order integral and derivative operators involving the -hypergeometric function in the kernel; outcomes are described in terms of the -Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the -function, are also listed.

中文翻译：

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带 -Function 的 -Fractional Calculus 算子的合成公式

在这项研究中，在S-函数应用于西乡的-分数阶积分和涉及该衍生物运营商-在内核超几何函数; 结果在来描述-莱特功能，这是用来表示积分变换的图像式诸如所述β-变换。还列出了几个特殊情况，例如分数阶微积分运算符和-函数。