Enhanced precision of ankle torque measure with an open-unit dynamometer mounted with a 3D force-torque sensor

In the present article, we consider a class of univalent harmonic mappings, $\mathcal{C}_{T} = \left\{ T_{c}[f] =\frac{f+czf'}{1+c}+\overline{\frac{f-czf'}{1+c}}; \; c>0\;\right\}$ and $f$ is convex univalent in $\mathbb{D}$, whose functions map the open unit disk $\mathbb{D}$ onto a domain convex in the direction of the imaginary axis. We estimate coefficient, growth and distortion bounds for the functions of the same class.

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Holomorphically embedded discs with rapidly growing area

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500021399 ◽

1999 ◽

Vol 129 (2) ◽

pp. 343-349

Author(s):

Josip Globevnik

Keyword(s):

Unit Ball ◽

Open Unit ◽

Open Unit Ball

It is shown that if V is a closed submanifold of the open unit ball of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r can grow arbitrarily rapidly as r ↗ 1. It is also shown that if V is a closed submanifold of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r can grow arbitrarily rapidly as r ↗ ∞.

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Design and research of a novel non-contact vertical inductive torque sensor

Measurement ◽

10.1016/j.measurement.2021.109252 ◽

2021 ◽

pp. 109252

Author(s):

Chao Zhang ◽

Zhipeng Li ◽

Jie Chen ◽

Feng Qiu ◽

Shaodan Na

Keyword(s):

Torque Sensor

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Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion

Axioms ◽

10.3390/axioms10010027 ◽

2021 ◽

Vol 10 (1) ◽

pp. 27

Author(s):

Hari Mohan Srivastava ◽

Ahmad Motamednezhad ◽

Safa Salehian

Keyword(s):

Unit Disk ◽

Univalent Functions ◽

Expansion Method ◽

Upper Bounds ◽

Polynomial Expansion ◽

Open Unit ◽

Open Unit Disk ◽

Faber Polynomial ◽

The Subject ◽

Polynomial Expansion Method

In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this comprehensive subclass. Moreover, we obtain estimates for the general coefficients |bn|(n≧1) for functions in the subclass ΣB(λ,μ,β) by making use of the Faber polynomial expansion method. The results presented in this paper would generalize and improve several recent works on the subject.

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