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.
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Appendix
Appendix
In this appendix, we present the abscissas and weight factors for Laguerre and Legendre–Gauss quadrature (Ebrahim and Belafhal 2021).
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Belafhal, A., Chib, S., Khannous, F. et al. Evaluation of integral transforms using special functions with applications to biological tissues. Comp. Appl. Math. 40, 156 (2021). https://doi.org/10.1007/s40314-021-01542-2
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DOI: https://doi.org/10.1007/s40314-021-01542-2