Geometric properties of new subclass of univalent and bi-univalent functions associated with subordination and generalised differential operator [PDF]
Hence, motivated by the generalised differential operator in the second objective, this study proposed a new generalised differential operator by utilising the binomial series.
Rossdy, Munirah
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On Coefficient problem for bi-univalent analytic functions
, 2017 Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new.
Bohra, Nisha, Ravichandran, V.
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Coefficient Related Studies for New Classes of Bi-Univalent Functions
, 2020 Using the recently introduced Sălăgean integro-differential operator, three new classes of bi-univalent functions are introduced in this paper. In the study of bi-univalent functions, estimates on the first two Taylor–Maclaurin coefficients are ...
Ágnes Orsolya Páll-Szabó +1 more
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Bi-Univalent Function Classes Defined by Imaginary Error Function and Bernoulli Polynomials
AxiomsIn recent years, special functions have played a significant role in the investigation of different subclasses within the class of bi-univalent functions. In this work, we present and investigate two new subclasses of bi-univalent functions defined in U={
Ibtisam Aldawish +3 more
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Bi-Univalent Functions with Bounded Boundary Rotation
Gulf Journal of MathematicsWe introduce a new subclass of bi-univalent functions Bᵛᵃʳᵏᵃᵖᵖᵃ,ˡᵉᶠᵗᵗʰʳᵉᵉᵗⁱᵐᵉˢᵥₐᵣᵣₕₒ,γ(η,θ,ξ) associated with bounded boundary rotation by means of a linear operator defined via the convolution with the confluent hypergeometric Mittag–Leffler function.
Ahmed Al-Shujary, Rafid Buti
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Some subclasses of bi-univalent functions
, 2014 Bu çalışma dört bölümden oluşmaktadır. Birinci bölümde; tezin ilerleyen kısımlarında kullanılacak olan bazı tanım ve teoremler verilmiştir. Ayrıca bu bölümde açık birim diskinde normalize edilmiş analitik ve yalınkat fonksiyonların oluşturduğu sınıfının ...
Altınkaya, Şahsene
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Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator
Le Matematiche, 2014 In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions ...
Gangaharan Murugu Sundaramoorthy
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Gegenbauer Polynomials for a Subfamily of Bi-univalent Functions
Earthline Journal of Mathematical SciencesWe study a subfamily of bi-univalent and regular functions in the open unit disk subordinate to Gegenbauer polynomials. For functions in the defined subfamily, we derive initial coefficients bounds. Additionally, the Fekete-Szegö problem is handled for the elements of the defined subfamily.
Sondekola Rudra Swamy +3 more
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Estimates for the Initial Coefficients of Bi-univalent Functions
, 2012 A bi-univalent function is a univalent function defined on the unit disk with its inverse also univalent on the unit disk. Estimates for the initial coefficients are obtained for bi-univalent functions belonging to certain classes defined by subordination and relevant connections with earlier results are pointed out.
Kumar, S. Sivaprasad +2 more
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Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function. [PDF]
Sci Rep, 2023 Priya H, Sruthakeerthi B.
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