Results 41 to 50 of about 75,857 (270)
Second Hankel Determinant of Bi-univalent Functions
Malaysian Journal of Fundamental and Applied Sciences, 2023 Let be the class of functions which are analytic in the open unit disk and having the form . Denote to be the class for all functions in that are univalent in . Then, let denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by ...
Kiu Shu Huey +3 more
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Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
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مجلة بغداد للعلوم, 2023 This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
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Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions [PDF]
, 2015 In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated.
Alkahtani, Badr +2 more
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Sets in homotopy type theory [PDF]
, 2014 Homotopy Type Theory may be seen as an internal language for the $\infty$-category of weak $\infty$-groupoids which in particular models the univalence axiom.
Rijke, Egbert, Spitters, Bas
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Bi-Univalent Function Classes Defined by Using a Second Einstein Function
Journal of Function Spaces, 2022 Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. We deduce estimates for the first two Maclaurin’s coefficients and the Fekete-Sezgö functional inequalities for the functions that belong to these families of functions.
Alaa H. El-Qadeem +2 more
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Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)
Tikrit Journal of Pure Science, 2023 Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
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Counting generalized Jenkins-Strebel differentials [PDF]
, 2013 We study the combinatorial geometry of "lattice" Jenkins--Strebel differentials with simple zeroes and simple poles on $\mathbb{C}P^1$ and of the corresponding counting functions. Developing the results of M.
Athreya, Jayadev S. +2 more
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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 +4 more
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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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