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 …

On k-uniformly close-to-convex functions of complex order

KI Noor, M Arif, W Ul-Haq - Applied Mathematics and Computation, 2009 - Elsevier
In this paper, we define and study some subclasses of analytic functions by using fractional
derivative operator. Some interesting properties, coefficients problems and inclusion results …

Properties of spiral-like close-to-convex functions associated with conic domains

HM Srivastava, N Khan, M Darus, MT Rahim… - Mathematics, 2019 - mdpi.com
In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike,
convex and the varied Mocanu-type functions, which are associated with conic domains. We …

Janowski type close-to-convex functions associated with conic regions

S Mahmood, M Arif, SN Malik - Journal of Inequalities and Applications, 2017 - Springer
The analytic functions, mapping the open unit disk onto petal and oval type regions,
introduced by Noor and Malik (Comput. Math. Appl. 62: 2209-2217, 2011), are considered to …

Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain

MS Ur Rehman, QZ Ahmad, HM Srivastava… - Journal of Inequalities …, 2020 - Springer
A number of families of q-extensions of analytic functions in the open unit disk UU have
been defined by means of basic (or q-) calculus and considered from many distinctive …

[PDF][PDF] Differential operator generalized by fractional derivatives

RW Ibrahim, M Darus - Miskolc Mathematical Notes, 2011 - real.mtak.hu
By using the fractional derivative operator of Owa and Srivastava, we define a new linear
multiplier fractional differential operator. Some generalized classes of analytic functions …

[PDF][PDF] Coefficients estimates of some subclasses of analytic functions related with conic domain

SN Malik, M Raza, M Arif, S Hussain - Analele ştiinţifice ale Universităţii …, 2013 - sciendo.com
In this paper, the authors determine the coefficient bounds for functions in certain subclasses
of analytic functions related with the conic regions, which are introduced by using the …

Certain Properties of a Class of Close‐to‐Convex Functions Related to Conic Domains

W Ul-Haq, S Mahmood - Abstract and Applied Analysis, 2013 - Wiley Online Library
We aim to de… fine a new class of close‐to‐convex functions which is related to conic
domains. Many interesting properties such as sufficiency criteria, inclusion results, and …

Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

Y Sun, WP Kuang, ZG Wang - Applied Mathematics and Computation, 2011 - Elsevier
In the present paper, we introduce and investigate classes of analytic functions involving the
Srivastava–Attiya operator. Basic properties for β-uniformly starlike functions of order γ are …

Arc length inequality for a certain class of analytic functions related to conic regions

W Ul-Haq, M Arif, A Khan - Journal of Complex Analysis, 2013 - Wiley Online Library
In our present investigation, we introduce a subclass of analytic function associated with
conic regions which is a form of generalized close‐to‐convexity. The arc‐length inequality …