[HTML][HTML] On coefficient inequalities of functions associated with conic domains

KI Noor, SN Malik - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, the concepts of Janowski functions and the conic regions are combined to
define a new domain which represents the conic type regions. Different views of this …

New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator

S Mahmood, J Sokół - Results in Mathematics, 2017 - Springer
The core object of this paper is to define and study a new class of analytic functions using
the Ruscheweyh q-differential operator. We also investigate a number of useful properties of …

Some applications of a q-analogue of the Ruscheweyh type operator for multivalent functions

M Arif, HM Srivastava, S Umar - Revista de la Real Academia de Ciencias …, 2019 - Springer
The main object of the present paper is to define q-analogue of Ruscheweyh operator for
multivalent functions. We investigate a number of useful properties including coefficient …

A generalized conic domain and its applications to certain subclasses of analytic functions

HM Srivastava, B Khan, N Khan, QZ Ahmad, M Tahir - 2019 - projecteuclid.org
By using the idea of q-calculus, we generalize the conic domain and define various
subclasses of analytic functions which map the open unit disk U={z: z ∈ C and\lvert z\rvert\lt …

[PDF][PDF] New subclass of q-starlike functions associated with generalized conic domain

X Zhang, S Khan, S Hussain, H Tang, Z Shareef - AIMS Math, 2020 - researchgate.net
In this paper, the concepts of quantum (or q-) calculus and conic regions are combined to
define a new domain Ωk, q, γ which represents the generalized conic regions. Then by using …

Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions

S Khan, N Khan, A Hussain, S Araci, B Khan… - Symmetry, 2022 - mdpi.com
In this paper, the theory of symmetric q-calculus and conic regions are used to define a new
subclass of q-starlike functions involving a certain conic domain. By means of this newly …

[PDF][PDF] Certain subclass of analytic functions related with conic domains and associated with Salagean q-differential operator

S Hussain, S Khan, MA Zaighum, M Darus - AIMS Math, 2017 - aimspress.com
In our present investigation, by using Salagean q-differential operator we introduce and
define new subclass k− US (q, γ, m), γ∈ C\{0}, and studied certain subclass of analytic …

Applications of a q-Salagean type operator on multivalent functions

S Hussain, S Khan, MA Zaighum, M Darus - Journal of Inequalities and …, 2018 - Springer
In this paper, we introduce a new class k-US (q, γ, m, p) US(q,γ,m,p), γ∈ C∖ 0 γ∈C\{0\}, of
multivalent functions using a newly defined q-analogue of a Salagean type differential …

[HTML][HTML] On a generalization of uniformly convex and related functions

KI Noor - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, we define and study some subclasses of analytic functions by using the
concept of k-uniformly convexity. Several interesting properties, coefficients and radius …

New Subclass of Analytic Function Involving q‐Mittag‐Leffler Function in Conic Domains

S Noor, A Razzaque - Journal of Function Spaces, 2022 - Wiley Online Library
In this paper, we formulate the q‐analogus of differential operator associated with q‐Mittag‐
Leffler function. By using this newly defined operator, we define a new subclass k− US q, γ m …