Results 91 to 100 of about 1,536,850 (314)
Laser &Photonics Reviews, EarlyView.Manipulating the ultranarrow linewidth spectral features of quasi bound states in the continuum is challenging. A metasurface supporting linear‐to‐linear cross‐polarization coupling efficiency surpassing 25% is proposed to address the issue. Less than 100 nm linewidth is achieved, enabling the device to be applied to wavelength‐selective polarization ...
Shuhao Wu +5 more
wiley +1 more source
Probabilistic multi-Stirling numbers of the second kind associated with random variables
Applied Mathematics in Science and EngineeringThis paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu +4 more
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q-Bernoulli Numbers Associated with q-Stirling Numbers
Advances in Difference Equations, 2008 We consider Carlitz q-Bernoulli numbers and q-Stirling numbers of the first and the second kinds. From the properties of q-Stirling numbers, we derive many interesting formulas associated with Carlitz q-Bernoulli numbers. Finally, we will prove βn,q=â
Taekyun Kim
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Asymptotics of Stirling and Chebyshev‐Stirling Numbers of the Second Kind
Studies in Applied Mathematics, 2014 For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–Stirling numbers.
Gawronski, Wolfgang +2 more
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Combinatorial interpretations of the Jacobi-Stirling numbers
, 2009 The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Gelineau, Yoann, Zeng, Jiang
core +1 more source
No App, No Entry: Conceptualizing Digital Technology Captivity in Service Access
Psychology &Marketing, EarlyView.ABSTRACT We introduce Digital Technology Captivity (DTC), a form of consumer vulnerability that arises when digital technologies become the mandatory gateway to essential services. When access is tied to systems that feel unfamiliar, complex, or intimidating—and when preferred alternatives are limited—consumers may experience heightened vulnerability ...
Carolyn Wilson‐Nash +4 more
wiley +1 more source
Convolution Identities of Stirling Numbers
Utilitas MathematicaBy means of the generating function method, a linear recurrence relation is explicitly resolved. The solution is expressed in terms of the Stirling numbers of both the first and the second kind. Two remarkable pairs of combinatorial identities (Theorems 3.1 and 3.3) are established as applications, that contain some well–known convolution formulae on ...
Li, Nadia N., Chu, Wenchang
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source
Journal of Inequalities and Applications, 2019 The main purpose and motivation of this work is to investigate and provide some new identities, inequalities and relations for combinatorial numbers and polynomials, and for Peters type polynomials with the help of their generating functions. The results
Yilmaz Simsek, Ji Suk So
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Stance and Gait Analysis of Apollo Astronauts on the Moon
Muscle &Nerve, EarlyView.ABSTRACT Introduction/Aim As humans return to the Moon, safe efficient ambulation and fall prevention on the lunar surface are key concerns. The analysis of gait from archived Apollo mission video footage is now possible with pose estimation video analysis software.
Faye Y. Chiou‐Tan +4 more
wiley +1 more source