Results 201 to 210 of about 580,998 (225)

ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS

1988
Let S denote the class of all functions \(f(z)=z+a_ 2z^ 2+a_ 3z^ 3+..\). which are analytic and univalent in the unit disc \(U=\{z:| z|
Brannan, D. A., Taha, T. S.
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Löwner chains and a subclass of bi-univalent functions

Georgian Mathematical Journal, 2022
Abstract In this paper, we give characterization of subclasses of bi-univalent functions and also consider bi-starlike functions on the unit disk in ℂ in terms of Löwner chains.
Shahram Najafzadeh, Hakimeh Haji, Hormoz Rahmatan   +2 more
openaire   +1 more source

ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

2021
In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f (z) and f(-1) (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar and vertical bar a(2m+1)vertical bar are found in this investigation.
Şeker, Bilal, Taymur, I
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Dissolution potential of some bi-univalent electrolytes

Electrochimica Acta, 1977
Abstract Dissolution and diffusion potentials of nine bi-univalent electrolytes, viz BaCl 2 , BaBr 2 , BaI 2 , CaCl 2 , CaBr 2 , CaI 2 , MgCl 2 , MgBr 2 , and MgI 2 have been measured at 25°C. True dissolution potentials for each set of halides show linear relationships with (i) Lattice energy; (ii) percentage covalent character; (iii) ratio of ...
H.L. Girdhar, R.P. Matta
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Precipitation potential of some BI-univalent electrolytes

Electrochimica Acta, 1977
Abstract Precipitation potentials of chlorides, bromides, and iodides of barium, calcium and magnesium are measured. The phase potentials of these electrolytes have been estimated from the decay curves. True precipitation potentials computed thereby show a linear relationship (for each set of halides) with (i) lattice energy; (ii) ratio of ionic ...
H.L. Girdhar, R.P. Matta
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Two Inclusive Subfamilies of bi-univalent Functions

International Journal of Neutrosophic Science
The 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, Ala Amourah, Jamal Salah, Feras Yousef   +3 more
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Coefficient estimates for a subclass of analytic bi-univalent functions

2018
Summary: In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass \( \Sigma(\tau,\gamma,\phi)\) which is defined by subordination conditions in the open unit disk \(\mathbb{U}\). In certain cases, our estimates improve some of those existing coefficient bounds.
Zireh, Ahmad, Adegani, Ebrahim, Bulut, SERAP   +2 more
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Bi-univalent polynomials of small degree

Complex Variables, Theory and Application: An International Journal, 1988
A. Kedzierawski, J. Waniurski
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MEROMORPHIC BI-UNIVALENT AND SUBORDINATE FUNCTIONS

Scientific works/Elmi eserler, 1996
Fethiye Müge Sakar, Seher Melike Aydoğan   +1 more
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Association of ions in a bi-univalent electrolyte

Transactions of the Faraday Society, 1939
A. R. Miller, J. K. Roberts
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