Evaluation of integral transforms using special functions with applications to biological tissues
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DOI: 10.1007/s40314-021-01542-2
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… read more here.
Keywords: special functions; integral transforms; evaluation integral; biological tissues ... See more keywords
A unified class of integral transforms related to the Dunkl transform
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DOI: 10.1016/j.jmaa.2016.12.054
Abstract: Abstract In the present paper, a new family of integral transforms depending on two parameters and related to the Dunkl transform is introduced. Well-known transforms, such as the fractional Dunkl transform, Dunkl transform, linear canonical… read more here.
Keywords: unified class; integral transforms; related dunkl; class integral ... See more keywords
Indefinite integrals of special functions from integrating factors
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DOI: 10.1080/10652469.2019.1689567
Abstract: ABSTRACT Some general integrals are presented which were obtained from two integrating factors and for the first two and last two terms, respectively, of the second-order linear ordinary differential equation obeyed by many special functions.… read more here.
Keywords: integrating factors; functions integrating; indefinite integrals; integral transforms ... See more keywords
Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox–Wright functions
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DOI: 10.1186/s13662-020-03067-0
Abstract: Motivated by a recent study on certain families of the incomplete H -functions (Srivastava et al. in Russ. J. Math. Phys. 25(1):116–138, 2018 ), we aim to investigate and develop several interesting properties related to… read more here.
Keywords: product general; incomplete fox; class; integral transforms ... See more keywords
Some identities on fractional integrals and integral transforms
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DOI: 10.15672/hjms.2018.652
Abstract: In this paper, we introduce various theorems that associate the generalized Riemann- Liouville fractional integral operator and the generalized Weyl fractional integral operator with some well-known integral transforms including generalized Laplace transform, Widder potential transform,… read more here.
Keywords: integrals integral; fractional integrals; identities fractional; integral transforms ... See more keywords
Exploiting the Symmetry of Integral Transforms for Featuring Anuran Calls
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DOI: 10.3390/sym11030405
Abstract: The application of machine learning techniques to sound signals requires the previous characterization of said signals. In many cases, their description is made using cepstral coefficients that represent the sound spectra. In this paper, the… read more here.
Keywords: anuran calls; integral transforms; cepstral coefficients; sound spectra ... See more keywords
A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms
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DOI: 10.3906/mat-2001-24
Abstract: In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev,… read more here.
Keywords: related kontorovich; equations systems; class fredholm; integral transforms ... See more keywords