Results 71 to 80 of about 828 (215)
Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
wiley +1 more source
Hankel determinant solution for elliptic sequence
Linear Algebra and its Applications, 2015 We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbitrary point on the elliptic curve are expressed by the Hankel determinants.
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Hankel determinants for some common lattice paths
Advances in Applied Mathematics, 2008 For a single value of $\ell$, let $f(n,\ell)$ denote the number of lattice paths that use the steps $(1,1)$, $(1,-1)$, and $(\ell,0)$, that run from $(0,0)$ to $(n,0)$, and that never run below the horizontal axis. Equivalently, $f(n,\ell)$ satisfies the quadratic functional equation $F(x) = \sum_{n\ge 0}f(n,\ell) x^n = 1+x^{\ell}F(x)+x^2F(x)^2.$ Let ...
Robert A. Sulanke, Guoce Xin
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Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]
International Mathematics Research Notices, 2015 The irrationality exponent of an irrational number $ξ$, which measures the approximation rate of $ξ$ by rationals, is in general extremely difficult to compute explicitly, unless we know the continued fraction expansion of $ξ$. Results obtained so far are rather fragmentary, and often treated case by case.
Bugeaud, Yann +3 more
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Journal of Inequalities and ApplicationsIn the current study, we investigate a subclass of convex functions, denoted by K n − 1 , L $\mathcal{K}_{n-1,\mathcal{L}}$ , associated with a domain bounded by an epicycloid with n − 1 $n-1$ cusps.
E. K. Nithiyanandham, B. Srutha Keerthi
doaj +1 more source
Polaritonic Spectra of Optical Mie Voids
Nanophotonics, Volume 15, Issue 9, 13 May 2026.Optical Mie voids have been shown to provide a versatile platform for polaritonic physics. Analytical and numerical analysis reveal how void resonances couple to excitonic media, enabling weak‐ and strong‐coupling regimes, polariton gaps, Q‐factor enhancement, and spatial mode localization.
Evgeny Ryabkov +3 more
wiley +1 more source
Hankel Determinants of q-Stirling Numbers
The Electronic Journal of CombinatoricsIn this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Yue Cai, Ting Yang
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Journal of Applied Clinical Medical Physics, Volume 27, Issue 5, May 2026.Abstract Background AAPM Report No. 365 recommends that medical physics graduate programs offer courses covering both mathematical and statistical methods (Section 3.1.7) as well as computational methods and medical informatics (Section 3.1.8). While our program seeks to incorporate both of these essential areas into the curriculum, various financial ...
Jenghwa Chang, Marissa Joyce Vaccarelli
wiley +1 more source
Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna
Advanced Functional Materials, Volume 36, Issue 38, 11 May 2026.We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz +9 more
wiley +1 more source
A Study of Third Hankel Determinant for Certain Subclasses of Analytic Function
, 2020 Recently the Hankel determinant problems got attractions of many well-known authors. Third Hankel determinant problems were determined for different subclasses of analytic functions.
Khan, Bilal +5 more
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