Results 1 to 10 of about 17,307,930 (337)

Subfamilies of Bi-Univalent Functions Associated with the Imaginary Error Function and Subordinate to Jacobi Polynomials

Symmetry
Numerous researchers have extensively studied various subfamilies of the bi-univalent function family utilizing special functions. In this paper, we introduce and investigate a new subfamily of bi-univalent functions, which is defined on the symmetric ...
Basem Frasin, Ala Amourah, Jamal Salah   +2 more
exaly   +3 more sources

NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire   +3 more sources

On Certain Properties of a Univalent Function Associated with Beta Function

Abstract and Applied Analysis, 2022
Beta function has some applications in differential equations and other areas of sciences and engineering where certain definite integrals are used. However, its applications to univalent functions have not been explored based on the available literature.
Matthew Olanrewaju Oluwayemi, Sunday Olufemi Olatunji, Temitope O. Ogunlade   +2 more
doaj   +2 more sources

Applications of Gegenbauer Polynomials for Subfamilies of Bi-Univalent Functions Involving a Borel Distribution-Type Mittag-Leffler Function

Symmetry, 2023
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Maslina Darus, Badriah Alamri, A Alatawi   +2 more
exaly   +2 more sources

Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]

Scientific Reports
In recent years, bi-univalent functions and fractional calculus have attracted considerable attention due to their strong theoretical foundations and potential applications in applied sciences.
Z. M. Saleh, A. O. Mostafa, M. A. Sohaly, S. M. Madian   +3 more
doaj   +2 more sources

Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

Fractal and Fractional, 2023
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba, Serkan Araci, Babatunde Olufemi Adebesin, Fairouz Tchier, Saira Zainab, Bilal Khan   +5 more
doaj   +2 more sources

Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]

Heliyon
In this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh, Ahmad A. Abubakar, Mohammad Faisal Khan, Suha B. Al-Shaikh, Mustafa Kamal   +4 more
doaj   +2 more sources

Bounds on Hankel Determinants with Fekete-Szegö Parameter for Bazilević Functions [version 2; peer review: 2 approved, 1 not approved] [PDF]

F1000Research
Background In Geometric Function Theory, a central area of complex analysis, researchers study the geometric properties of analytic and univalent functions in the unit disk.
Abdul Rahman S.Juma, Nathir Khaled
doaj   +2 more sources

Coefficient Estimates for Certain Classes of Bi-Univalent Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +2 more sources

Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

Axioms, 2023
A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă, Paweł Zaprawa   +3 more
doaj   +3 more sources