Results 51 to 60 of about 136 (107)

Differential sandwich theorems for p-valent analytic functions associated with a generalization of the integral operator

Demonstratio Mathematica
In this study, subordination, superordination, and sandwich theorems are established for a class of p-valent analytic functions involving a generalized integral operator that has as a special case p-valent Sălăgean integral operator. Relevant connections
Almutairi Norah Saud, Shahen Awatef, Darwish Hanan   +2 more
doaj   +1 more source

Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

Length problems for Bazilevič functions

Demonstratio Mathematica, 2019
Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru, Sokół Janusz, Tang Huo   +2 more
doaj   +1 more source

Toeplitz matrices whose elements are coefficients of Bazilevič functions

Open Mathematics, 2018
We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan, Jahangiri Jay M., Sivasubramanian Srikandan, Murugusundaramoorthy Gangadharan   +3 more
doaj   +1 more source

Differential subordination and convexity criteria of integral operators

Open Mathematics, 2017
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R., Keong Lee See, Subramanian K.G.   +2 more
doaj   +1 more source

Convex combination of analytic functions

Open Mathematics, 2017
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun, Jain Naveen Kumar, Ravichandran V.   +2 more
doaj   +1 more source

An equation for complex fractional diffusion created by the Struve function with a T-symmetric univalent solution

Demonstratio Mathematica
A TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
doaj   +1 more source

Hankel determinants for q-starlike functions connected with q-sine function

Demonstratio Mathematica
This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function.
Taj Yusra, Zainab Saira, Xin Qin, Tchier Fairouz, Malik Sarfraz Nawaz   +4 more
doaj   +1 more source

Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]

Heliyon, 2023
Sun Y, Arif M, Ullah K, Shi L, Faisal MI.   +4 more
europepmc   +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