Results 61 to 70 of about 974 (118)

An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions

Fractal and Fractional
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives.
Ibtisam Aldawish, Hari M. Srivastava, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +4 more
doaj   +1 more source

On Analytic Functions Involving the q-Ruscheweyeh Derivative

Fractal and Fractional, 2019
In this paper, we use concepts of q-calculus to introduce a certain type of q-difference operator, and using it define some subclasses of analytic functions.
Khalida Inayat Noor
doaj   +1 more source

Some Remarks on Ozaki, Ono and Umezawa’s Results

Mathematics
Recall that in On a general second order derivative, Sci. Rep. Tokyo Kyoiku Daigaku A, 5(124–127)(1956), 111–114, Ozaki, Ono and Umezawa proved a result that if f(z) is analytic and satisfies |f″(z)|
Mamoru Nunokawa, Hitoshi Saitoh, Janusz Sokół, Edyta Trybucka   +3 more
doaj   +1 more source

Inclusive Subfamilies of Complex Order Generated by Liouville–Caputo-Type Fractional Derivatives and Horadam Polynomials

Fractal and Fractional
In this paper, we introduce the inclusive subfamilies of complex order E(δ1,δ2,δ3,δ4,a,b) and C(δ1,δ2,δ3,δ4,a,b), defined by means of the Liouville–Caputo-type derivative operator and subordination to the Horadam polynomials.
Feras Yousef, Tariq Al-Hawary, Basem Frasin, Amerah Alameer   +3 more
doaj   +1 more source

Analytic functions over valued fields

International Journal of Mathematics and Mathematical Sciences, 1990
Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective ...
R. Bhaskaran, V. Karunakaran
doaj   +1 more source

On subclasses of close-to-convex functions of higher order

International Journal of Mathematics and Mathematical Sciences, 1992
The classes Tk(ρ), 0 ...
Khalida Inayat Noor
doaj   +1 more source

Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions

Axioms
The concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel, Nak Eun Cho, Srikandan Sivasubramanian   +2 more
doaj   +1 more source

Subclass of harmonic starlike functions associated with salagean derivative

Le Matematiche, 2014
The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc \ associated ...
H. E. Darwish, A. Y. Lashin, S. M. Soileh   +2 more
doaj  

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

On the univalency of Cesàro sums of univalent functions [PDF]

Bulletin of the American Mathematical Society, 1936
openaire   +2 more sources