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Theory of Bessel Functions of High Rank

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The article was published on 2015-01-01 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Rank (graph theory) & Bessel function.

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One-Dimensional Spectral Analysis of Complex PWM Waveforms Using Superposition

TL;DR: In this article, a new model of the double-edge PWM modulator and the regular sampling process is presented, and generalized equations for the Fourier transforms of regularly sampled PWM waveforms are derived.
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Theory of Fundamental Bessel Functions of High Rank

Zhi Qi
TL;DR: In this paper, the authors studied fundamental Bessel functions arising from the Vorono-i summation formula for any rank $n$ and field $n = \mathbb{R} or $C$ with focus on developing their analytic and asymptotic theory.
Journal ArticleDOI

Heat-kernel approach for scattering

TL;DR: In this paper, an approach for solving scattering problems, based on two quantum field theory methods, the heat kernel method and the scattering spectral method, is constructed, which converts a method of calculating heat kernels into a method for solving the scattering problems.
Journal ArticleDOI

Impedance of a Coil at an Arbitrary Position and Orientation Inside a Conductive Borehole or Tube

TL;DR: In this paper, the authors considered the general case of an arbitrary cylindrical coil position and orientation and proposed an analytical solution to the impedance and electromagnetic field of a circularly cylindric coil at an arbitrary position inside a cylinrical conductor inside a borehole or tube.
Journal ArticleDOI

Quantifying Networks Complexity from Information Geometry Viewpoint

TL;DR: This work introduces an entropic measure of networks complexity and proves that it is invariant under networks isomorphism and evaluates this entropy on simplexes and finds that it monotonically increases with their dimension.
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