Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials [PDF]
, 2022 Ala Amourah +3 more
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Planar maps as labeled mobiles
, 2004 We extend Schaeffer's bijection between rooted quadrangulations and well-labeled trees to the general case of Eulerian planar maps with prescribed face valences, to obtain a bijection with a new class of labeled trees, which we call mobiles.
Bouttier, J. +2 more
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Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions
International Journal of Mathematics and Mathematical SciencesThis research paper introduces the novel subclass of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass. In addition, we provide solutions to
Ala Amourah +3 more
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Coefficient estimates for a certain subclass of bi-univalent functions
Le Matematiche, 2016 Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
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Nevanlinna domains with large boundaries
, 2018 We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points can be of any Hausdorff dimension between $1$ and $2$.
Belov, Yurii +2 more
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Initial Coefficients Bounds for Bi-univalent Functions Related to Gregory Coefficients
, 2023 G. Murugusundaramoorthy +2 more
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On some subclasses of m-fold symmetric bi-univalent functions
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018 In this work, we introduce two new subclasses S_{{\Sigma}_{m}}({\alpha},{\lambda}) and S_{{\Sigma}_{m}}(\b{eta},{\lambda}) of {\Sigma}_{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |a_{m+1}
ALTINKAYA, Şahsene, YALÇIN, Sibel
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Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials [PDF]
, 2019 Ibrahim Tunji Awolere +1 more
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Applications Laguerre Polynomials for Families of Bi-Univalent Functions Defined with (p,q)-Wanas Operator [PDF]
, 2023 Abbas Kareem Wanas +2 more
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Coefficient Bounds for a General Subclass of Bi-Univalent Functions
Le Matematiche, 2016 In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda).
Yalcin, SİBEL, ALTINKAYA, ŞAHSENE
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