Results 131 to 140 of about 5,934,786 (218)

Gegenbauer Polynomials for a Subfamily of Bi-univalent Functions

open access: yesEarthline Journal of Mathematical Sciences
We study a subfamily of bi-univalent and regular functions in the open unit disk subordinate to Gegenbauer polynomials. For functions in the defined subfamily, we derive initial coefficients bounds. Additionally, the Fekete-Szegö problem is handled for the elements of the defined subfamily.
Sondekola Rudra Swamy   +3 more
openaire   +1 more source

(P, Q)-Lucas polynomial coefficient inequalities of the bi-univalent function class

open access: yes, 2019
Recently, Lucas polynomials and other special polynomials gained importance in the field of geometric function theory. In this study, by connecting these polynomials, subordination, and the Al-Oboudi differential operator, we introduce a new class of bi ...
Akgül, Arzu
core   +1 more source

Metal–Organic Frameworks for CO2 Conversion: From Simple Capture Materials to Multiple Function Platforms

open access: yesAggregate, Volume 7, Issue 10, October 2026.
This review summarizes recent advances in MOFs for CO2 valorization, covering MOF synthesis, CO2 capture, and photo/electrocatalytic CO2 reduction. Detailed discussion of typical strategies reveals the intrinsic structure–performance relationship, and challenges together with future perspectives are proposed.
Yingjia Li   +7 more
wiley   +1 more source

Gibbons–Tsarev Type Systems and Eventual Identities

open access: yesStudies in Applied Mathematics, Volume 157, Issue 4, October 2026.
ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie   +3 more
wiley   +1 more source

Coefficients bounds for a subclass of q-bi-starlike functions associated with the generalized q-Lommel polynomials

open access: yesApplied Mathematics in Science and Engineering
Orthogonal q-polynomials, both new and old, have witnessed a huge and revived attention in recent years, because of their applications in many diverse areas of mathematics and other sciences. In Geometric Function Theory, different subclasses of analytic
Muhammad Uzair Shah   +4 more
doaj   +1 more source

A new general subclass of analytic bi-univalent functions

open access: yes, 2019
In a very recent work, Seker [Seker B. On a new subclass of bi-univalent functions defined by using Salagean operator. Turkish Journal of Mathematics 2018; 42: 2891-2896] defined two subclasses of analytic bi-univalent functions by means of Salagean ...
Bulut, Serap
core   +1 more source

Coefficient Estimates for Bi-Univalent Bazilevic Functions

open access: yesAnalysis in Theory and Applications, 2014
In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients $a_2$ and $a_3$ using Caratheodory functions and the method of differential subordination.
openaire   +1 more source

Estimates for the Initial Coefficients of Bi-univalent Functions

open access: yes, 2012
A bi-univalent function is a univalent function defined on the unit disk with its inverse also univalent on the unit disk. Estimates for the initial coefficients are obtained for bi-univalent functions belonging to certain classes defined by subordination and relevant connections with earlier results are pointed out.
Kumar, S. Sivaprasad   +2 more
openaire   +2 more sources

OEFFICIENT ESTIMATES OF NEW SPECIAL SUBCATEGORY OF BI-UNIVALENT FUNCTIONS

open access: yesScience Journal of University of Zakho
In the present paper, we introduce and investigate a new subcategory H_Σ (q,β;ς) of analytic and bi-univalent functions in the open unit disk  D based on the ideas of q-derivative operator and subordination.
Kosrat O. Mohammed   +4 more
doaj   +1 more source

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