Results 1 to 10 of about 82 (70)
Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion [PDF]
Axioms, 2021 In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this ...
Hari Mohan Srivastava +2 more
doaj +4 more sources
Mathematics, 2023 In this investigation, the q-difference operator and the Sălăgean q-differential operator are utilized to establish novel subclasses of analytical bi-close-to-convex functions.
Ridong Wang +5 more
doaj +4 more sources
Fractal and Fractional, 2023 This work examines a new subclass of generalized bi-subordinate functions of complex order γ connected to the q-difference operator. We obtain the upper bounds ρm for generalized bi-subordinate functions of complex order γ using the Faber polynomial ...
Mohammad Faisal Khan, Mohammed AbaOud
doaj +2 more sources
Symmetry, 2023 In this study, we applied the ideas of subordination and the symmetric q-difference operator and then defined the novel class of bi-univalent functions of complex order γ. We used the Faber polynomial expansion method to determine the upper bounds for the functions belonging to the newly defined class of complex order γ.
Chetan Swarup
exaly +2 more sources
Mathematics, 2020 In this article, we introduce a general family of analytic and bi-univalent functions in the open unit disk, which is defined by applying the principle of differential subordination between analytic functions and the Tremblay fractional derivative ...
Hari M. Srivastava +2 more
doaj +3 more sources
Fractal and Fractional, 2023 In this study, we begin by examining the τ-fractional differintegral operator and proceed to establish a novel subclass in the open unit disk E. The determination of the nth coefficient bound for functions within this recently established class is ...
Ferdous M. O. Tawfiq +2 more
doaj +3 more sources
On faber polynomials and faber expansions
Mathematische Zeitschrift, 1967 Ch Pommerenke
exaly +3 more sources
A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei +2 more
doaj +1 more source
Certain class of m-fold functions by applying Faber polynomial expansions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 "In this paper, we introduce new class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients $|a_{mk+1}|(k \geqq 2)$ of functions in the class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$. Moreover, we obtain estimates for the
Ahmad Motamednezhad, Safa Salehian
openaire +1 more source
Axioms, 2023 Using the concepts of q-fractional calculus operator theory, we first define a (λ,q)-differintegral operator, and we then use m-fold symmetric functions to discover a new family of bi-close-to-convex functions.
Mohammad Faisal Khan +3 more
doaj +1 more source