In this paper, we aim to establish several new closed-form evaluations of certain integral transforms involving the rational and exponential functions, which are expressed in terms of confluent hypergeometric function and related functions. Also, we consider some special cases. The presented integral formulas are useful in many fields of mathematical physics, particularly in the propagation of some waves through random turbulent media. The main result is applied to investigate the closed-form of unusual scattering parameters used in the biological tissues. It is found that there is a good agreement between the numerical and theoretical evaluations.

中文翻译：

---

使用特殊函数评估积分变换并应用于生物组织

在本文中，我们旨在为涉及有理函数和指数函数的某些积分变换建立几个新的封闭形式评估，这些函数用融合超几何函数和相关函数表示。此外，我们还考虑了一些特殊情况。所提出的积分公式在数学物理的许多领域都很有用，特别是在一些波通过随机湍流介质的传播中。主要结果用于研究生物组织中使用的异常散射参数的封闭形式。发现数值和理论评估之间存在良好的一致性。