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On Degenerate Truncated Special Polynomials
Mathematics, 2020 The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
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Exponential rings, exponential polynomials and exponential functions [PDF]
Pacific Journal of Mathematics, 1984 An exponential ring is a pair (R,E), where R is a commutative ring with unit 1 and \(E: (R,+)\to U\) (the multiplicative group of units in R) satisfying \(E(x+y)=E(x)E(y)(x,y\in R),E(0)=1.\) In preparation for proving that each subset of \({\mathbb{R}}^ 2\) definable (with parameters) in the language of exponential rings has finitely many connected ...
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Expoential bounds on the number of causal triangulations [PDF]
, 2014 We prove that the number of combinatorially distinct causal 3-dimensional triangulations homeomorphic to the 3-dimensional sphere is bounded by an exponential function of the number of tetrahedra.
Durhuus, Bergfinnur, Jonsson, Thordur
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Star-likeness associated with the exponential function [PDF]
Turkish Journal of Mathematics, 2019 Given a domain $\Omega$ in the complex plane $\mathbb{C}$ and a univalent function $q$ defined in an open unit disk $\mathbb{D}$ with nice boundary behaviour, Miller and Mocanu studied the class of admissible functions $\Psi(\Omega,q)$ so that the ...
Adiba Naz, S. Nagpal, V. Ravichandran
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Sensors, 2021 Patch-based medical image registration has been well explored in recent decades. However, the patch fusion process can generate grid-like artifacts along the edge of patches for the following two reasons: firstly, in order to ensure the same size of ...
Liang Wu, Shunbo Hu, Changchun Liu
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Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique
Symmetry, 2020 This paper is based on finding the exact solutions for Burger’s equation, Zakharov-Kuznetsov (ZK) equation and Kortewegde vries (KdV) equation by utilizing exponential function method that depends on the series of exponential functions.
Shumaila Javeed +6 more
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Fractal and Fractional, 2022 Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
Lei Shi +4 more
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Sensors, 2019 The accuracy of thin-film characterization in terahertz spectroscopy is mainly set by the thickness uncertainty. Physical thickness measurement has limited accuracy for thin-film samples thinner than a few hundreds of micrometers and is sometimes even ...
Xuequan Chen, Emma Pickwell-MacPherson
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Exponential beams of electromagnetic radiation [PDF]
, 2006 We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams.
Allen L +13 more
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Improved Convolutional Neural Network Based on Fast Exponentially Linear Unit Activation Function
IEEE Access, 2019 The activation functions play increasingly important roles in deep convolutional neural networks. The traditional activation functions have some problems such as gradient disappearance, neuron death and output offset, and so on.
Zheng Qiumei, Tan Dan, Wang Fenghua
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