Results 11 to 20 of about 7,833,680 (354)
An application of the finite element approximation method to find the complex zeros of the modified Bessel function _ [PDF]
, 1979 By K. V. Leung, S. Ghaderpanah
semanticscholar +2 more sources
Experimental probe of weak-value amplification and geometric phase through the complex zeros of the response function [PDF]
Physical Review A, 2018 The extraordinary concept of weak value amplification has attracted considerable attention for addressing foundational questions in quantum mechanics and for metrological applications in high precision measurement of small physical parameters.
M. Pal +4 more
semanticscholar +1 more source
Mathematics, 2020 In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
doaj +1 more source
Gaussian Complex Zeros on the Hole Event: The Emergence of a Forbidden Region [PDF]
Communications on Pure and Applied Mathematics, 2016 Consider the Gaussian entire function Fℂ(z)=∑k=0∞ξkzkk!, z∈ℂ, where {ξk} is a sequence of independent standard complex Gaussians. This random Taylor series is distinguished by the invariance of its zero set with respect to the isometries of the plane ℂ ...
Subhro Ghosh, Alon Nishry
semanticscholar +1 more source
Location of zeros of Wiener and distance polynomials. [PDF]
PLoS ONE, 2012 The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all ...
Matthias Dehmer, Aleksandar Ilić
doaj +1 more source
AppliedMath, 2023 Motivated by results on the location of the zeros of a complex polynomial with monotonicity conditions on the coefficients (such as the classical Eneström–Kakeya theorem and its recent generalizations), we impose similar conditions and give bounds on the
Robert Gardner, Matthew Gladin
doaj +1 more source
Transmission zeros with topological symmetry in complex systems
, 2021 Understanding vanishing transmission in Fano resonances in quantum systems and metamaterials and perfect and ultralow transmission in disordered media has advanced the knowledge and applications of wave interactions.
Yuhao Kang, A. Genack
semanticscholar +1 more source
Complex zeros of the Jonquière or polylogarithm function [PDF]
Mathematics of Computation, 1975 Complex zero trajectories of the function\[F(x,s)=∑k=1∞xkksF(x,s) = \sum \limits _{k = 1}^\infty {\frac {{{x^k}}}{{{k^s}}}}\]are investigated for realxwith|x|>1|x| > 1in the complexs-plane. It becomes apparent that there exist several classes of such trajectories, depending on their behaviour for|x|→1|x| \to 1.
Fornberg, B., Kölbig, K. S.
openaire +2 more sources
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
Mathematics, 2020 In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
doaj +1 more source
Asymptotic distribution of complex zeros of random analytic functions [PDF]
, 2014 Let $\xi_0,\xi_1,\ldots$ be independent identically distributed complex- valued random variables such that $\mathbb{E}\log(1+|\xi _0|)
Z. Kabluchko, D. Zaporozhets
semanticscholar +1 more source