Results 51 to 60 of about 75,857 (270)
Mass distribution exponents for growing trees [PDF]
, 2007 We investigate the statistics of trees grown from some initial tree by attaching links to preexisting vertices, with attachment probabilities depending only on the valence of these vertices.
David, François +3 more
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On Some New Classes of Bi-univalent Functions
Journal 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
Mathematics, 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
Room‐Temperature Gas‐Phase CO2‐to‐C3 Coupling by a 4f‐Aromatic Cluster
Angewandte 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
Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions
Science Journal of University of Zakho, 2022 This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah +1 more
doaj +1 more source
On the class of bi-univalent functions
Comptes Rendus. Mathématique, 2014 In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f′(z) for functions of the class σ of bi-univalent functions.
Sivasubramanian, Srikandan +3 more
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
core +1 more source
Perturbation theorems for Hele-Shaw flows and their applications
, 2010 In this work, we give a perturbation theorem for strong polynomial solutions to the zero surface tension Hele-Shaw equation driven by injection or suction, so called the Polubarinova-Galin equation.
B. Gustafsson +10 more
core +1 more source
Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]
Mathematica BohemicaIn the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi +2 more
doaj +1 more source
Axioms, 2023 A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained.
Likai Liu, Jie Zhai, Jin-Lin Liu
doaj +1 more source