Results 51 to 60 of about 10,269,497 (359)
Hankel Determinants for Univalent Functions Related to the Exponential Function
Symmetry, 2019 Recently, two classes of univalent functions S e * and K e were introduced and studied. A function f is in S e * if it is analytic in the unit disk, f ( 0 ) = f ′ ( 0 ) − 1 = 0 and z f ′ ( z ) f ( z ) ≺ e z . On the other hand, g ∈ K e if and only if z g
P. Zaprawa
semanticscholar +1 more source
Symmetry, 2021 In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) of normalized holomorphic and bi-univalent functions in the open unit disk U, which are associated with the Bazilevič ...
H. Srivastava, A. Wanas, R. Srivastava
semanticscholar +1 more source
On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained
Mohammed Fathi, Abdul Rahman Juma
doaj +1 more source
Symmetry, 2021 The motivation of the present article is to define the (p−q)-Wanas operator in geometric function theory by the symmetric nature of quantum calculus. We also initiate and explore certain new families of holormorphic and bi-univalent functions AE(λ,σ,δ,s ...
A. Wanas, L. Cotîrlă
semanticscholar +1 more source
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 AnalysisThe 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 +2 more
doaj +1 more source
Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes
Journal of Function Spaces, 2021 Some characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript.
A. El-Sayed Ahmed, S. Omran
doaj +1 more source
Certain Classes of Univalent Functions With Negative Coefficients Defined By General Linear Operator
Tikrit Journal of Pure Science, 2019 In this study, a subclass of an univalent function with negative coefficients which is defined by anew general Linear operator have been introduced.
Mazin Sh.Mahmoud +2 more
doaj +1 more source
Argument and Coefficient Estimates for Certain Analytic Functions
Mathematics, 2020 The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ
Davood Alimohammadi +3 more
doaj +1 more source
Earthline Journal of Mathematical Sciences, 2021 In the present investigation, we introduce the subclasses $\varLambda_{\Sigma}^{m}(\eta,\leftthreetimes,\phi)$ and $\varLambda_{\Sigma}^{m}(\eta,\leftthreetimes,\delta)$ of \textit{m}-fold symmetric bi-univalent function class $\Sigma_m$, which are ...
T. G. Shaba, A. Patil
semanticscholar +1 more source
Nonvanishing univalent functions [PDF]
Mathematische Zeitschrift, 1980 The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + .
Duren, Peter L., Schober, Glenn
openaire +3 more sources