Results 11 to 20 of about 10,269,497 (359)
Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function.
Murugusundaramoorthy Gangadharan+4 more
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On Certain Properties of a Univalent Function Associated with Beta Function
Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature.
Matthew Olanrewaju Oluwayemi+2 more
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Locally Univalent Functions with Locally Univalent Derivatives [PDF]
Douglas M. Campbell
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Univalent harmonic functions [PDF]
Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Glenn Schober, Walter Hengartner
openaire +2 more sources
The aim of this paper is to introduce some special families of holomorphic and S\u{a}l\u{a}gean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$ in ...
S. R. Swamy+2 more
semanticscholar +1 more source
This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
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A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials
In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
T. Al-Hawary+3 more
semanticscholar +1 more source
In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and ...
Abdulmtalb Hussen, Mohamed Illafe
semanticscholar +1 more source
On Becker's univalence criterion [PDF]
We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|{f"(z)/f'(z)}|(1-|z|^2)\leq 1+C(1-|z|)$ holds for all $z\in\mathbb{D}$, for some ...
Huusko, Juha-Matti, Vesikko, Toni
core +2 more sources
Coefficients Estimates of Bi-Univalent Functions Defined by New Subclass Function
In this paper, we introduce and investigate some new subclasses Sγn,q(λ,m,ϕ) and Wxk,α(λ,δ,ϕ) of bi-univalent functions in the unit disk U, which satisfies the qusi-subordination condition. We obtain estimates the first two Taylor-Maclarurin coefficients
Sarah A. Al-Ameedee+2 more
semanticscholar +1 more source