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Evaluation of integral transforms using special functions with applications to biological tissues

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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… Click to show full abstract

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.

Keywords: special functions; integral transforms; evaluation integral; biological tissues; transforms using; using special

Journal Title: Computational and Applied Mathematics
Year Published: 2021

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