Results 11 to 20 of about 146 (94)

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

open access: yesJournal of Function Spaces, 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.
Daniel Breaz   +3 more
doaj   +2 more sources

New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator

open access: yesJournal of Mathematics, 2022
The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In
Shahid Khan   +4 more
doaj   +2 more sources

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth   +5 more
wiley   +1 more source

The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four‐Leaf‐Shaped Domain

open access: yesJournal 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

On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli

open access: yesJournal of Function Spaces, 2020
Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli.
Tamer M. Seoudy, Amnah E. Shammaky
doaj   +1 more source

Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

open access: yesMathematics, 2020
In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired.
S. Melike Aydoğan, Zeliha Karahüseyin
doaj   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

open access: yesMathematics, 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

Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions.
Abid Khan   +4 more
wiley   +1 more source

New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains

open access: yesJournal of Function Spaces, 2022
In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains.
Saima Noor, Asima Razzaque
doaj   +1 more source

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