The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as well. Based on the main results, some integral formulas involving different special functions connected with the generalized Wright function are explicitly established as special cases for different values of the parameters. Moreover, a Gaussian quadrature formula has been used to compute the integrals and compare with the main results by using graphical representations.

中文翻译：

---

涉及广义Wright函数的某些积分公式的计算

本文的目的是推导涉及积分变换和一系列广义Wright函数的某些公式，这些公式分别用广义Wright超几何函数和广义超几何函数表示。根据主要结果，明确建立了一些包含与广义Wright函数相关的不同特殊函数的积分公式，作为针对不同参数值的特殊情况。此外，已经使用高斯积分公式来计算积分并通过使用图形表示与主要结果进行比较。