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

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 integra...

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Bibliographic Details
Published in:Computational & applied mathematics 2021-06, Vol.40 (4), Article 156
Main Authors: Belafhal, A., Chib, S., Khannous, F., Usman, T.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Closed form solutions
Computational mathematics
Computational Mathematics and Numerical Analysis
Exact solutions
Exponential functions
Hypergeometric functions
Integral transforms
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Tissues
Wave propagation
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Summary: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.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-021-01542-2