Results 41 to 50 of about 325 (120)

Applications laguerre polynomials for families of bi-univalent functions defined with (p,q)-wanas operator [PDF]

open access: yes, 2023
In current manuscript, using Laguerre polynomials and (Formula presented.) -Wanas operator, we identify upper bounds (Formula presented.) and (Formula presented.) which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions ...
Wanas, Abbas Kareem   +2 more
core   +1 more source

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function [PDF]

open access: yes, 2023
يهتم هذا البحث بفئات فرعية معينة من الدوال احادية التكافؤ وثنائية التكافؤ فيما يتعلق بمنحنيات تشبه الصدفة المرتبطة بأرقام فيبوناتشي k تتضمن دالة التنشيط السيني المعدلة θ(t)=2/(1+e^(-t) ) ,t ≥0في قرص الوحدة|z|<1. تقديرات المعاملات الاولية |c_2 | , |c_3
Juma, Abdul Rahman S.   +1 more
core   +2 more sources

Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

open access: yesMathematics, 2023
The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk.
Halit Orhan   +2 more
doaj   +1 more source

Fekete-Szego problem for a general subclass of analytic functions [PDF]

open access: yes, 2019
WOS: 000488222100041In this present investigation, we introduced a certain subclass of starlike and convex functions of complex order b, using a linear multiplier differential operator D(lambda,mu)(m)f (z).
Uyanik, Neslihan
core   +1 more source

Fekete-Szegö problems for generalized Sakaguchi type functions associated with quasi-subordination [PDF]

open access: yes, 2018
In the present paper, the authors introduce a generalized Sakaguchi type non-Bazilevic function class Mλ,β (φ, s, t) of analytic functions involving quasi-subordination and obtain bounds for the Fekete-Szegö functional |a3 −µa2 for the functions ...
PANIGRAHI, Trailokya   +1 more
core   +2 more sources

The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
doaj   +1 more source

Inequalities [PDF]

open access: yes, 2020
Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians.
Furuichi, Shigeru
core   +1 more source

Coefficient estimates for Ruscheweyh derivatives

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3 ...
Maslina Darus, Ajab Akbarally
doaj   +1 more source

Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain

open access: yesFractal and Fractional, 2023
In this paper, we make use of the concept of q−calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete–Szegö functional.
Luminiţa-Ioana Cotîrlǎ   +1 more
doaj   +1 more source

Application of Gegenbauer polynomials for biunivalent functions defined by subordination [PDF]

open access: yes, 2022
We present and investigate a new subclass of biunivalent functions by applying Gegenbouer polynomials in this paper. Also, we find nonsharp estimates on the first two coefficients vertical bar b(0)vertical bar and vertical bar b(1)vertical bar for ...
Ahmad, Ibrar   +2 more
core   +1 more source

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