Results 51 to 60 of about 110 (87)

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

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Demonstratio Mathematica, 2023
In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali, Al-Sa’di Sa’ud, Hussain Saqib, Tasleem Asifa, Rasheed Akhter, Cheema Imran Zulfiqar, Darus Maslina   +6 more
doaj   +1 more source

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

Open Mathematics, 2019
In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Arif Muhammad, Raza Mohsan, Tang Huo, Hussain Shehzad, Khan Hassan   +4 more
doaj   +1 more source

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

Properties of a new integral operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta, Andrei Loriana, Breaz Daniel   +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

A new family of multivalent functions defined by certain forms of the quantum integral operator

Demonstratio Mathematica
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal, Al-shbeil Isra, Shatarah Amani, Alrayes Norah Mousa, Khan Shahid, ul Haq Wasim   +5 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

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