Results 91 to 100 of about 580,998 (225)

Estimates for the Initial Coefficients of Bi-univalent Functions

, 2016
[[abstract]]A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P.
Virendra Kumar, V. Ravichandran, S. Sivaprasad Kumar   +2 more
core  

Subclass of bi-univalent function associated to Chebyshev polynomial

, 2022
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.Comment: 7 ...
Birajdar, G. M., Sangle, N. D.
core  

Mono‐ and Bivalent Poly(iso‐butylene)‐Alanines for Drug‐Delivery of Nimodipine and Triamcinolone Acetonide

Macromolecular Rapid Communications, EarlyView.
Mono‐ and bivalent‐, alanine‐modified poly‐iso‐butylenes, folding into beta‐sheets, were prepared by living carbocationic polymerization and subsequent endgroup modification. These PIB‐conjugates are useful as solid polymers for the drug release of triamcinolone and nimodipine. ABSTRACT Poly‐iso‐butylene (PIB) is a well known biocompatible polymer with
Philipp S. Hilgeroth, Julius F. Butter, Wolfgang H. Binder   +2 more
wiley   +1 more source

Second Hankel determinant for a certain function class of bi-univalent functions associated with Salagean derivative operator

European Journal of Mathematics and Applications, 2023
In this work, we investigate the bounds on the fourth initial coefficient $|a_4|$ and the second Hankel determinant $|a_2a_4 - a^ 2_3|$ for a class of analytic and bi-univalent functions defined in the open unit disk.
Ezekiel Abiodun Oyekan, Ayotunde Olajide Lasode, Oluwasegun Adeshina Olukoya, Peter Oluwafemi Adepoju   +3 more
doaj  

Sakaguchi type functions defined by balancing polynomials [PDF]

Mathematica Bohemica
The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients $\vert a_2\vert$ and $\vert a_3\vert$ have ...
Gunasekar Saravanan, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Serap Bulut   +3 more
doaj   +1 more source

An extremal problem for univalent functions [PDF]

Let S be the class of functions f(z)=z+a2z2 ,… f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x . This problem was first proposed by Petru T.
Miodrag IOVANOV
core  

Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients

, 2023
In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers.
Gangadharan Murugusundaramoorthy, Teodor Bulboacă, Kaliappan Vijaya   +2 more
core   +1 more source

Application of Magnesium Metal as Anode in Batteries

MetalMat, EarlyView.
When used as an anode, magnesium metal offers several advantages, including a high volumetric capacity, environmental friendliness, abundant natural reserves, and a low tendency for dendrite growth. Battery types employing magnesium as the anode include rechargeable magnesium‐ion batteries, aqueous magnesium‐ion batteries, magnesium–air batteries, and ...
Yuanjie Zhang, Dichang Guan, Guorong Hu, Zhongdong Peng, Yanbing Cao, Ke Du   +5 more
wiley   +1 more source

Fekete-Szego problem for certain classes of Ma-Minda bi-univalent functions

, 2016
In the present work, we propose to investigate the Fekete-Szego inequalities certain classes of analytic and bi-univalent functions defined by subordination.
BALAJİ, V K, ORHAN, Halit, Magesh, N.
core   +1 more source

Applications of Bernoulli Polynomials and q²-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Mathematics
The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish, Paduvalapattana Kempegowda Mamatha   +3 more
doaj   +1 more source