Results 71 to 80 of about 18,676 (205)
A Study of Generalized Laguerre Poly-Genocchi Polynomials
Mathematics, 2019 A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +2 more
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The K Extended Laguerre Polynomials Involving Aαr,n,kxFr r,r>2
Advances in Mathematical Physics, 2022 In this manuscript, we present the generalized hypergeometric function of the type Fr r,r>2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx.
Adnan Khan +3 more
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Countable Basis for Free Electromagnetic Fields
Annalen der Physik, Volume 538, Issue 5, May 2026.ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
wiley +1 more source
Irreducibility of generalized Hermite-Laguerre Polynomials III
, 2016 For a positive integer $n$ and a real number $\alpha$, the generalized Laguerre polynomials are defined by \begin{align*} L^{(\alpha)}_n(x)=\sum^n_{j=0}\frac{(n+\alpha)(n-1+\alpha)\cdots (j+1+\alpha)(-x)^j}{j!(n-j)!}.
Laishram, Shanta, Shorey, Tarlok
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Fractional Orbital Angular Momentum Sorting Using Wind Spiral Transformation
Nanophotonics, Volume 15, Issue 8, 24 April 2026.A wind‐spiral coordinate transformation enables mode sorting of fractional‐order orbital angular momentum (OAM) states, overcoming the limited channel count of conventional integer only sorters. Fractional OAM is mapped into a controlled superposition of integer modes, producing distinctive multi‐peak signatures for discrimination.
Xiaobin Yang +7 more
wiley +1 more source
On the Complex Zeros of Some Families of Orthogonal Polynomials
Abstract and Applied Analysis, 2010 The complex zeros of the orthogonal Laguerre polynomials 𝐿𝑛(𝑎)(𝑥) for ...
Eugenia N. Petropoulou
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Graph presentations for moments of noncentral Wishart distributions and their applications
, 2010 We provide formulas for the moments of the real and complex noncentral Wishart distributions of general degrees. The obtained formulas for the real and complex cases are described in terms of the undirected and directed graphs, respectively.
Kuriki, Satoshi, Numata, Yasuhide
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Diffractive Optical Neural Networks: Pathways Toward Intelligent and Scalable Photonic Computing
Nanophotonics, Volume 15, Issue 8, 24 April 2026.Diffractive optical neural networks (DONNs) are emerging as a transformative paradigm for photonic computing, offering massive parallelism, ultrafast inference, and passive low‐power operation. This review traces the evolution of DONNs from free‐space to on‐chip implementations, highlights advances in reconfigurability and multidimensional modulation ...
Yufei Wang +5 more
wiley +1 more source
On a family of q-modified-Laguerre-Appell polynomials
Arab Journal of Basic and Applied SciencesThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
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