Unimodality Preservation by Ratios of Functional Series and Integral Transforms
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DOI: 10.1007/s00025-025-02431-4
Abstract: An elementary, but very useful lemma due to Biernacki and Krzyż (1955) asserts that the ratio of two power series inherits monotonicity from that of the sequence of ratios of their respective coefficients. Over the… read more here.
Keywords: unimodality preservation; preservation ratios; functional series; series integral ... See more keywords
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
Using Pseudo-Complemented Truth Values of Calculation Errors in Integral Transforms and Differential Equations Through Monte Carlo Algorithms
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DOI: 10.3390/math13152534
Abstract: This study aims to demonstrate how mathematics, especially calculus concepts, can be expanded to include semi-entities and how these can be applied to sampling activities. Here, the multivalued logic uses pseudo-complemented lattices, instead of Boolean… read more here.
Keywords: transforms differential; integral transforms; monte carlo; truth values ... 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
Integral Transforms and the Hyers-Ulam Stability of Linear Differential Equations with Constant Coefficients
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DOI: 10.3390/sym16020135
Abstract: Integral transform methods are a common tool employed to study the Hyers–Ulam stability of differential equations, including Laplace, Kamal, Tarig, Aboodh, Mahgoub, Sawi, Fourier, Shehu, and Elzaki integral transforms. This work provides improved techniques for… read more here.
Keywords: differential equations; hyers ulam; integral transforms; ulam stability ... See more keywords
Convolution Theorem for p,q-Gamma Integral Transforms and Their Application to Some Special Functions
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DOI: 10.3390/sym16070882
Abstract: This article introduces (p,q)-analogs of the gamma integral operator and discusses their expansion to power functions, (p,q)-exponential functions, and (p,q)-trigonometric functions. Additionally, it validates other findings concerning (p,q)-analogs of the gamma integrals to unit step… read more here.
Keywords: gamma integral; convolution; theorem gamma; integral transforms ... See more keywords
On Some Formulas for Single and Double Integral Transforms Related to the Group SO(2, 2)
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DOI: 10.3390/sym16091102
Abstract: We present a novel proof, using group theory, for a Meijer transform formula. This proof reveals the formula as a specific case of a broader generalized result. The generalization is achieved through a linear operator… read more here.
Keywords: double integral; group; integral transforms; single double ... See more keywords