Results 41 to 50 of about 2,470 (140)

Generalized Fractional Integral Formulas for the k-Bessel Function

Journal of Mathematics, 2018
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
doaj   +1 more source

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform [PDF]

Sahand Communications in Mathematical Analysis
The main purpose of this paper is to study the wavelet transform associated with the Laguerre-Bessel transform and to provide an integral representation of the extremal function related to this transform. We then introduce the notion of a Laguerre-Bessel
Ahmed Chana, Abdellatif Akhlidj
doaj   +1 more source

3D Surface Profiling via Direct End‐to‐End Regression With a Photonic Geometric Sensor

Laser &Photonics Reviews, EarlyView.
Measurements of microscale surface patterns are essential for quality control across semiconductor and biomedical industries, yet the development of miniaturized, intelligent systems remains constrained by the complexity and bulkiness of conventional benchtop metrology.
Ziyao Zhang, Yizhi Wang, Chunhui Yao, Huiyu Huang, Rui Ma, Xin Du, Wanlu Zhang, Zhitian Shi, Minjia Chen, Ting Yan, Liang Ming, Yuxiao Ye, Richard Penty, Qixiang Cheng   +13 more
wiley   +1 more source

Geometric perspective of generalized Bessel function

Journal of Inequalities and Applications
In this study, we extend and refine several results concerning the geometric properties of generalized Bessel functions established by Á. Baricz (Mathematica 48(71):1318, 2006).
Hanaa M. Zayed, Pál A. Kupán, Róbert Szász   +2 more
doaj   +1 more source

Sobre la inversión de los potenciales de Bessel-Riesz Sobre la inversión de los potenciales de Bessel-Riesz

Nexo, 2010
En este trabajo se obtiene la inversión de un operador del tipo convolución usando técnicas de integrales hipersingulares. El operador de Bessel-Riesz de una función ϕ perteneciente a S , el espacio de funciones de prueba de Schwartz, es definido por la ...
Ruben Alejandro Cerutti
doaj   +1 more source

Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions

Advances in Difference Equations, 2020
In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function.
Sapna Meena, Sanjay Bhatter, Kamlesh Jangid, Sunil Dutt Purohit   +3 more
doaj   +1 more source

Optical Coherence Tomography for High‐Precision Industrial Inspection in Industry 4.0: Advances, Challenges, and Future Trends

Laser &Photonics Reviews, EarlyView.
This review examines how optical coherence tomography transforms industrial inspection by delivering real‐time, micrometer‐resolution, depth‐resolved imaging. It surveys applications across display manufacturing, thin films, microelectronics, laser processing, and coatings, evaluates performance against conventional techniques, and highlights emerging ...
Nipun Shantha Kahatapitiya, Sm Abu Saleah, Daewoon Seong, Naresh Kumar Ravichandran, Sangyeob Han, Ruchire Eranga Wijesinghe, Mansik Jeon, Jeehyun Kim   +7 more
wiley   +1 more source

Certain inequalities for the modified Bessel-type function

Journal of Inequalities and Applications, 2019
We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
doaj   +1 more source