Results 231 to 240 of about 75,857 (270)
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New subclasses of bi-univalent functions involving polylogarithm functions
AIP Conference Proceedings, 2014In the present paper, we introduce two new subclasses of the function class Σ of bi-univalent functions involving polylogarithm functions defined in the open unit disc U = :{z:z∈C,|z|
Saibah Siregar, Maslina Darus
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Symmetry
In this work, we introduce a new subclass of bi-univalent functions using the (p,q)-derivative operator and the concept of subordination to generalized Laguerre polynomials Ltς(k), which satisfy the differential equation ky″+(1+ς−k)y′+ty=0, with 1+ς>0, k∈
Mohammad El-Ityan +3 more
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In this work, we introduce a new subclass of bi-univalent functions using the (p,q)-derivative operator and the concept of subordination to generalized Laguerre polynomials Ltς(k), which satisfy the differential equation ky″+(1+ς−k)y′+ty=0, with 1+ς>0, k∈
Mohammad El-Ityan +3 more
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Fekete–Szegö inequalities for bi-univalent functions involving cauchy and Bernoulli polynomials
Gulf Journal of MathematicsWe present a unified complex-variable extension of both Cauchy and Bernoulli polynomials on the open unit disc. This generalized framework deepens their analytic properties and opens new directions for application in geometric function theory.
W. Atshan +2 more
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Gulf Journal of Mathematics
In this paper, we introduce a new subclass of bi-univalent functions of complex order, using the symmetric q-derivative with subordination principles. We obtain upper bounds for the coefficients |c2|, |c3| and estimate an upper bound for the Fekete–Szegő
Mohammad El-Ityan +3 more
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In this paper, we introduce a new subclass of bi-univalent functions of complex order, using the symmetric q-derivative with subordination principles. We obtain upper bounds for the coefficients |c2|, |c3| and estimate an upper bound for the Fekete–Szegő
Mohammad El-Ityan +3 more
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Mathematical methods in the applied sciences
Our investigation is motivated by the wide range of interesting and fruitful applications of special polynomials. Among these, Bernoulli polynomials have recently garnered attention in the study of bi‐univalent function theory.
Sondekola Rudra Swamy, Kala Venugopal
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Our investigation is motivated by the wide range of interesting and fruitful applications of special polynomials. Among these, Bernoulli polynomials have recently garnered attention in the study of bi‐univalent function theory.
Sondekola Rudra Swamy, Kala Venugopal
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Two Inclusive Subfamilies of bi-univalent Functions
International Journal of Neutrosophic ScienceThe aim of this article is to establish two new and qualitative subfamilies F(ε, κ, ℵ) and G(ε, κ, ℵ) of biunivalent functions. For functions in these subfamilies, we determine the first two Maclaurin coefficient estimations |C2| and |C3|, and address the Fekete–Szeg¨o problem. Additionally, we mention some corollaries related to the main results.
Tariq Tariq +3 more
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Mathematics
In this paper, we introduce and investigate new subclasses of analytic bi-univalent functions defined via Caputo fractional derivatives with boundary rotation constraints.
A. Wanas +3 more
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In this paper, we introduce and investigate new subclasses of analytic bi-univalent functions defined via Caputo fractional derivatives with boundary rotation constraints.
A. Wanas +3 more
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Symmetry
In this paper, by utilizing error functions subordinate to Horadam polynomials, we introduce the inclusive subclasses A(a,ς,r,u,η,ρ,σ),B(a,ς,r,u,τ,θ) and C(a,ς,r,u,τ,θ) of bi-univalent functions in the symmetric unit disk U.
T. Al-Hawary +3 more
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In this paper, by utilizing error functions subordinate to Horadam polynomials, we introduce the inclusive subclasses A(a,ς,r,u,η,ρ,σ),B(a,ς,r,u,τ,θ) and C(a,ς,r,u,τ,θ) of bi-univalent functions in the symmetric unit disk U.
T. Al-Hawary +3 more
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Fekete–Szegö problem for some subclasses of bi-univalent functions
The Journal of Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soren, Madan Mohan +2 more
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New Subclasses of Bi-univalent Functions Associated with Quasi-subordination
Journal of Al-Qadisiyah for Computer Science and MathematicsIn this paper, we obtain some new subclasses of bi-univalent functions by using quasi-subordination. Also, we obtain the bounds for the modulus of the initial coefficients of the function inside these classes.
Saad Raheem Bakheet +2 more
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