Results 41 to 50 of about 17,307,930 (337)
Mathematics, 2019 In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
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On a subclass of univalent functions II [PDF]
Annales Polonici Mathematici, 1983 [For part I see the review above.] Let f be analytic in the unit disc E with \(f(0)=f'(0)-1=0,\) and \(f(z)f'(z)/z\neq 0\) for z in E. Using the standard technique the authors have obtained an integral representation formula for \(f\in C(\alpha,\lambda)\) and estimates for the coefficients of \(f\in C(\alpha,\lambda)\), where \(C(\alpha\),\(\lambda ...
Padmanabhan, K. S., Bharati, R.
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Initial Coefficients of Biunivalent Functions
Abstract and Applied Analysis, 2014 An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee +2 more
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Hankel Determinants for Univalent Functions Related to the Exponential Function
Symmetry, 2019 Recently, two classes of univalent functions S e * and K e were introduced and studied. A function f is in S e * if it is analytic in the unit disk, f ( 0 ) = f ′ ( 0 ) − 1 = 0 and z f ′ ( z ) f ( z ) ≺ e z . On the other hand, g ∈ K e if and only if z g
P. Zaprawa
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Symmetry, 2021 In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) of normalized holomorphic and bi-univalent functions in the open unit disk U, which are associated with the Bazilevič ...
H. Srivastava, A. Wanas, R. Srivastava
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On a class of univalent functions
Applied Mathematics Letters, 2012 AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike.
Milutin Obradovic, Saminathan Ponnusamy
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Bicategories in univalent foundations [PDF]
, 2022 We develop bicategory theory in univalent foundations. Guided by the notion of univalence for (1-)categories studied by Ahrens, Kapulkin, and Shulman, we define and study univalent bicategories.
Veltri, Niccolò +13 more
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Symmetry, 2022 In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions.
E. Amini +3 more
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Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions
Science Journal of University of Zakho, 2022 This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah +1 more
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Fractal and Fractional, 2022 The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research.
Isra Al-shbeil +2 more
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