Results 41 to 50 of about 57 (56)

Applications of differential subordination and superordination theorems to fluid mechanics involving a fractional higher-order integral operator

Alexandria Engineering Journal, 2021
The paper aims to study differential subordination and superordination preserving properties for certain analytic multivalent functions within the open unit disk related to a novel generalized fractional derivative operator for higher-order derivatives ...
J. Morais, H.M. Zayed
doaj  

Diameter problems for univalent functions with quasiconformal extension

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 679-686, 1993.
Paul Deiermann
wiley   +1 more source

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj   +1 more source

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel ...
Vijayalakshmi S.P., Sudharsan T.V., Breaz Daniel, Subramanian K.G.   +3 more
doaj   +1 more source

Coefficient estimates and Fekete-Szegö problem for some classes of univalent functions generalized to a complex order

Demonstratio Mathematica
In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
doaj   +1 more source

On a subclass of multivalent functions defined by generalized multiplier transformation

Open Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

Demonstratio Mathematica
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions.
Murugusundaramoorthy Gangadharan, Lupas Alina Alb, Alburaikan Alhanouf, El-Deeb Sheza M.   +3 more
doaj   +1 more source

Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
doaj   +1 more source

Coefficient bounds for q-convex functions related to q-Bernoulli numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The main objective of this paper is to present and investigate a subclass 𝒞(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers.
Breaz Daniel, Orhan Halit, Arıkan Hava, Cotˆırlă Luminiţa-Ioana   +3 more
doaj   +1 more source

Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions. [PDF]

J Inequal Appl, 2018
Sakar FM.
europepmc   +1 more source