In this paper, our aim is to build generalized homogeneous q-difference equations for q-polynomials. We also consider their applications to generating functions and fractional q-integrals by using the perspective of q-difference equations. In addition, we also reveal relevant relations of various special cases of our main results involving some known results.

中文翻译：

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q-多项式的广义齐次q-差分方程及其在生成函数和分数q-积分中的应用

在本文中，我们的目标是为q多项式建立广义齐次q差分方程。我们还从q差分方程的角度考虑了它们在生成函数和分数q积分中的应用。此外，我们还揭示了涉及一些已知结果的主要结果的各种特殊情况的相关关系。