Results 11 to 20 of about 10,343,403 (331)
Univalency of Certain Transform of Univalent Functions
Proceedings of the Bulgarian Academy of Sciences, 2023 We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
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Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
AIMS Mathematics, 2021 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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Locally Univalent Functions with Locally Univalent Derivatives [PDF]
Transactions of the American Mathematical Society, 1971 Douglas M. Campbell
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On Certain Properties of a Univalent Function Associated with Beta Function
Abstract and Applied Analysis, 2022 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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, 2021 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
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Univalent harmonic functions [PDF]
Transactions of the American Mathematical Society, 1987 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
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مجلة بغداد للعلوم, 2023 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
Symmetry, 2023 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
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Mathematics, 2023 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
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Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator
Fractal and Fractional, 2023 This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil, J. Gong, T. G. Shaba
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