Results 31 to 40 of about 3,096,282 (119)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this particular research article, we take an analytic function Q4L=15616+/z+/z5, which makes a four‐leaf‐shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients ...
Azzh Saad Alshehry +3 more
wiley +1 more source
Axioms, 2023 In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class,
Mohamed Illafe +3 more
doaj +1 more source
Properties of Meromorphic Spiral‐Like Functions Associated with Symmetric Functions
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral‐like functions with other studies pertaining to subclasses of multivalent meromorphic functions.
Daniel Breaz +4 more
wiley +1 more source
Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions
Mathematics, 2022 In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
Sondekola Rudra Swamy +2 more
doaj +1 more source
Hyperbolically convex functions and the generalized Fekete–Szegö functional [PDF]
, 2011 We describe extremal functions for the generalized Fekete–Szegö functional |ta3+a22| over the class of hyperbolically convex functions. We apply the Julia variational formula to reduce the problem to mappings onto hyperbolic polygons having no more than ...
G. Brock Williams +5 more
core +1 more source
Fekete-Szegö inequalities for p-valent starlike and convex functions of complex order [PDF]
, 2014 In this paper, we obtain Fekete-Szegö inequalities for certain class of analytic p-valent functions f(z) for which 1+1b1pz(f∗g)′(z)+λz2(f∗g)″(z)(1-λ)(f∗g)(z)+λz(f∗g)′(z)-1≺φ(z)(b∈C∗=C⧹{0}).
Aouf, M.K., EL-Ashwah, R.M., Zayed, H.M.
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Mathematics, 2023 The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk.
Halit Orhan +2 more
doaj +1 more source
Coefficient estimates for Ruscheweyh derivatives
International Journal of Mathematics and Mathematical Sciences, 2004 We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3 ...
Maslina Darus, Ajab Akbarally
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Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain
Fractal and Fractional, 2023 In this paper, we make use of the concept of q−calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete–Szegö functional.
Luminiţa-Ioana Cotîrlǎ +1 more
doaj +1 more source
Fekete-Szegö Problem for a New Class of Analytic Functions [PDF]
, 2011 We consider the Fekete-Szegö problem with complex parameter for the class () of analytic ...
Deepak Bansal
core +1 more source