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Dielectric Metasurface for Generating Longitudinally Separated Dual-Channel Focused Vectorial Structured Light. [PDF]

Nanomaterials (Basel)
Zhou H, Jiang X, Wang W, Wang Y, Xu Y, Zhao K, Cheng C, Liu C.   +7 more
europepmc   +1 more source

Variational calculus approach to Zernike polynomials with application to fluorescence correlation spectroscopy

Gligonov I, Enderlein J.
europepmc   +1 more source

A Note on the Orthogonality of Jackson's q-Bessel Functions [PDF]

Canadian Mathematical Bulletin, 1989
AbstractA q-analogue of the orthogonality property of the Bessel functions on the zeros is obtained in terms of a q-integral.
Mizan Rahman
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Modified $ q$-Bessel functions and $ q$-Macdonald functions

Sbornik: Mathematics, 1996
Summary: The \(q\)-analogues of modified Bessel functions and Macdonald functions are defined in this paper. As in the case of \(q\)-Bessel functions introduced by Jackson, there are two kinds of these functions. Like their classical prototypes, they arise in harmonic analysis on quantum symmetric spaces.
Ol'shanetskij, M. A., Rogov, V.-B. K.
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The monotony of the q−Bessel functions

Journal of Mathematical Analysis and Applications
In the paper under review the authors present two monotonicity properties for the Jackson and Hahn-Exton \(q\)-Bessel functions by using the method of subordination sequences. The authors follow the ideas of \textit{R. Szász et al.} [Result. Math. 78, No. 4, Paper No. 127, 6 p. (2023; Zbl 1514.33005); Comput. Methods Funct. Theory 24, No.
Özkan, Yücel, Korkmaz, Semra, Deniz, Erhan   +2 more
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Combinatorial objects enumerated by q-bessel functions

Reports on Mathematical Physics, 1994
The author describes different combinatorial objects enumerated by \(q\)- Bessel functions: skew Ferrers diagrams according to width and area, simple braids according to number of threads and exponent and pairs of permutations according to common descents and inversions. Then he presents different techniques of counting and \(q\)-counting.
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Spectral zeta functions for q-Bessel equations

Journal of Physics A: Mathematical and General, 1995
The theory of quantum billiards deals with the Laplace operator on a bounded domain in \(\mathbb{R}^2\). The associated zeta function can be computed explicitly for some triangular billiards and for the circular billiard; for the circular billiard, the zeta function is given in terms of the positive zeros of a suitable Bessel function.
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A few properties of the third Jackson q-Bessel function

Analysis Mathematica, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On q-Gamma and q-Bessel Functions

2017
In this paper, we present some characterizations of the q-Gamma and the properties of the q-Bessel functions.
Kamel Brahim, Ahmed Fitouhi, Meniar Haddad   +2 more
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