Results 41 to 50 of about 6,919,686 (232)
Inequalities involving Bessel and modified Bessel functions
The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
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Green's function for the lossy wave equation
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj +1 more source
Analysis of unsteady hydro-magnetic viscoelastic fluid flow through an annulus (bounded by two infinite co-axial circular cylinders) has been made in presence of radiation, periodic pressure gradient and external heat source/sink.
Debasish Dey
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From Sensing Mechanisms to System Co‐Design: Graphene‐Based Sensors and Readout Circuits
This review establishes a unified PS–EQ–RF framework linking graphene sensing mechanisms, native electrical outputs, and output‐specific readout circuits. Voltage‐, current‐, resistance‐, and capacitance‐type sensing systems are systematically classified to guide architecture selection, low‐noise design, system co‐design, and practical integration ...
Jinduo Zhang +5 more
wiley +1 more source
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
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Contributions to the Weighted Non-Central Chi-Square Distribution [PDF]
In this paper, we consider the probability density function (pdf) of the weighted non-central chi-square distribution with degrees of freedom. This pdf is presented in the literature as an infinitesum. Consequently we give another expression for this pdf
Sahar A.Ibrahim +2 more
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Non-homogeneous impulsive time fractional heat conduction equation
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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A polymer chain in motion: backbone, ring, and counterion dynamics interlock across timescales to relay protons through poly(ionic liquid) membranes. ABSTRACT Polymer electrolyte membranes composed of ionic liquids (IL), capable of conducting protons efficiently at elevated temperatures, without external humidification, could transform fuel cell ...
Keenan Smith +11 more
wiley +1 more source
A dynamic Ag+─S coordinated hydrogel with a sulfur–oxygen competitive coordination allosteric switch enables reversible tuning between soft–adhesive and stiff–robust states. Integrated with a lightweight 1DCNN classifier, the smart glove system achieves 99.70% laboratory and 93.35% real‐wear material recognition accuracy, offering a paradigm for self ...
Shixia Lan +4 more
wiley +1 more source
Some Formulae on the Modified Bessel Functions [PDF]
P(論文)A linear combination of the modified Bessel functions is a general solution of the Laplace differential equation under a boundary condition in the cylindrical co-ordinate system.
42251, 新谷, 敏朗
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