Results 61 to 70 of about 1,415 (218)

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

Sahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya   +2 more
doaj   +1 more source

Advanced Air Electrodes for Reversible Protonic Ceramic Electrochemical Cells: A Comprehensive Review

Advanced Materials, EarlyView.
Reversible protonic ceramic electrochemical cells (R‐PCECs) face challenges from sluggish and unstable oxygen reduction and evolution reactions in the air electrode. This review discusses recent progress in triple‐conducting air electrodes, emphasizing mechanisms, performance factors, and design strategies, offering guidance for creating efficient and ...
Xi Chen, Yeshu Tan, Zheng Li, Tong Liu, Yinghao Song, Shuo Zhai, Na Yu, Zongping Shao, Meng Ni   +8 more
wiley   +1 more source

Exploring Fekete-Szegő inequalities for an admissible class of bi-univalent functions involved Gegenbauer polynomials

Arab Journal of Basic and Applied Sciences
This paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk.
Sa’ud Al-Sa’di, Ibrar Ahmad, Muge Sakar, Saqib Hussain, Saima Noor   +4 more
doaj   +1 more source

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]

Sahand Communications in Mathematical Analysis, 2017
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We  estimate the coefficients $|a_{2} |$
Hamid Shojaei
doaj  

DNA‑Directed Assembly of Photonic Nanomaterials for Diagnostic and Therapeutic Applications

Advanced Materials, EarlyView.
DNA‐directed assembly offers a powerful strategy for constructing structured photonic nanomaterials with precise spatial control. This review provides a comprehensive overview of recent advancements in DNA‐assembled photonic nanomaterials for diagnostics and therapeutics, highlighting key design principles, functionalization strategies, and optical ...
Longjiang Ding, Bing Liu, Andreas Peil, Sisi Fan, Jie Chao, Na Liu   +5 more
wiley   +1 more source

Coefficient problem for certain subclasses of bi-univalent functions defined by convolution [PDF]

Mathematica Moravica, 2016
In this paper, we consider a general subclass HλΣ (h, β) of bi-univalent functions. Bounds on the first two coefficients اa2ا and اa3ا for functions in HλΣ (h, β) are given. The main results generalize and improve a recent one obtained by Srivastava [18].
Altınkaya Sahsene, Yalçın Sibel
doaj  

On a new subclass of bi-univalent functions satisfying subordinate conditions

Acta Universitatis Sapientiae: Mathematica, 2015
In the present investigation, we find estimates on the coefficients |a2| and |a3| for functions in the function class SΣ (λ,φ) .
Altınkaya Şahsene, Yalçın Sibel
doaj   +1 more source

Fekete‐Szegö Functional for Bi‐univalent Functions Related with Gegenbauer Polynomials

Journal of Mathematics, 2022
In this paper, we introduce and investigate a new subclass of bi‐univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete‐Szegö type problem for this subclass which is obtained. We will also point out
Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad   +4 more
openaire   +2 more sources

The Versatility of Layered Two‐Dimensional Heterostructures for Energy Storage: Bridging Scientific Insights and Practical Applications

Advanced Materials, EarlyView.
This review highlights the potential of 2D‐2D heterostructures (HRs) in advancing monovalent ion‐based energy storage. It examines their role in tailoring charge interactions mechanisms, optimizing interfacial properties, and overcoming the limitations of individual layered materials.
Neetu Bansal, Nitish Kumar, Prakash Kumar Pathak, Heejoon Ahn, Jing Tang, Yusuke Yamauchi, Rahul R. Salunkhe   +6 more
wiley   +1 more source

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

Mathematics, 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