Results 21 to 30 of about 2,065 (197)

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj   +1 more source

An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

open access: yesMathematics, 2022
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross ...
Ala Amourah   +2 more
doaj   +1 more source

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe   +3 more
doaj   +1 more source

Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

open access: yesMathematics, 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
doaj   +1 more source

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

open access: yesMathematics, 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
doaj   +1 more source

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi   +2 more
doaj   +1 more source

Estimation of the Pitzer Parameters for 1–1, 2–1, 3–1, 4–1, and 2–2 Single Electrolytes at 25 °C [PDF]

open access: yes, 2016
The Pitzer model is one of the most important thermodynamic models to predict the behavior of aqueous electrolyte solutions, especially at high ionic strengths.
Hughes, K.J.   +4 more
core   +1 more source

Coefficient estimates for certain subclass of bi-univalent functions [PDF]

open access: yesAIP Conference Proceedings, 2017
In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali   +2 more
openaire   +2 more sources

On Some New Classes of Bi-univalent Functions

open access: yesJournal of Applied Mathematics, Statistics and Informatics, 2018
Abstract In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.
Darus, M., Singh, Saumya
openaire   +1 more source

Room‐Temperature Gas‐Phase CO2‐to‐C3 Coupling by a 4f‐Aromatic Cluster

open access: yesAngewandte Chemie, EarlyView.
We engineered a 4f metalla aromatic cluster, PrB2C2−, that enables efficient sequential C−C coupling with CO2 at room temperature, yielding a linear C3 backbone. This system provides a complete theoretical catalytic cycle and establishes a new design principle for lanthanide mediated CO2 activation.
Feng‐Xiang Zhang   +7 more
wiley   +2 more sources

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