Results 1 to 10 of about 574 (133)
On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform
Axioms, 2023 In this paper, we consider the modified Mellin transform of the product of the square of the Riemann zeta function and the exponentially decreasing function, and we discuss its probabilistic and approximation properties.
Antanas Laurinčikas
doaj +3 more sources
Scale-invariant 3D face recognition using computer-generated holograms and the Mellin transform
Opto-Electronic AdvancesWe present a novel method for scale-invariant 3D face recognition by integrating computer-generated holography with the Mellin transform. This approach leverages the scale-invariance property of the Mellin transform to address challenges related to ...
Yongwei Yao +5 more
doaj +3 more sources
Duality of Shehu transform with other well known transforms and application to fractional order differential equations. [PDF]
PLoS ONEIntegral transforms are used in many research articles in the literature, due to their interesting applications in the solutions of problems of applied science and engineering.
Nabil Mlaiki +4 more
doaj +2 more sources
The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
Mathematics, 2023 In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
doaj +1 more source
Fractal and Fractional, 2022 At present many researchers devote themselves to studying the relationship between continuous fractal functions and their fractional integral. But little attention is paid to the relationship between Mellin transform and fractional integral.
Zhibiao Zhou, Wei Xiao, Yongshun Liang
doaj +1 more source
An analytical solution for the Caputo type generalized fractional evolution equation
Alexandria Engineering Journal, 2022 The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
doaj +1 more source
Journal of High Energy Physics, 2022 Celestial holography provides a promising avenue to studying bulk scattering in flat spacetime from the perspective of boundary celestial conformal field theory (CCFT).
Hongliang Jiang
doaj +1 more source
A Fast Mellin and Scale Transform
EURASIP Journal on Advances in Signal Processing, 2007 A fast algorithm for the discrete-scale (and β-Mellin) transform is proposed. It performs a discrete-time discrete-scale approximation of the continuous-time transform, with subquadratic asymptotic complexity.
Davide Rocchesso, Antonio De Sena
doaj +2 more sources
The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function
Journal of Mathematics, 2021 Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a,k,β, and γ are general complex numbers.
Robert Reynolds, Allan Stauffer
doaj +1 more source
A Generalized Stochastic Cost–Volume–Profit Model
Systems, 2021 Cost–volume–profit (CVP) analysis is a widely used decision tool across many business disciplines. The current literature on stochastic applications of the CVP model is limited in that the model is studied under the restrictive forms of the Gaussian and ...
Hongyan Liang +4 more
doaj +1 more source