scholarly journals A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or $ q $-) calculus

2021 ◽  
Vol 6 (6) ◽  
pp. 6580-6602
Author(s):  
H. M. Srivastava ◽  
◽  
T. M. Seoudy ◽  
M. K. Aouf ◽  
◽  
...  
Keyword(s):  
Conic Domain

scholarly journals Coefficients estimates of some subclasses of analytic functions related with conic domain

2013 ◽  
Vol 21 (2) ◽  
pp. 181-188 ◽  
Author(s):  
Sarfraz Nawaz Malik ◽  
Mohsan Raza ◽  
Muhammad Arif ◽  
Saqib Hussain
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Coefficient Bounds ◽  
Conic Domain

Abstract 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 concept of bounded boundary and bounded radius rotations. The effect of certain integral operator on these classes has also been examined.

scholarly journals Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Shahid Mahmood ◽  
Mehwish Jabeen ◽  
Sarfraz Nawaz Malik ◽  
H. M. Srivastava ◽  
Rabbiya Manzoor ◽  
...  
Keyword(s):  
Starlike Functions ◽  
Conic Domain ◽  
Janowski Functions ◽  
Coefficient Inequalities

This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains. Certain renowned coefficient inequalities in connection with the previously known ones have been included in this work.

scholarly journals Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 181 ◽  
Author(s):  
Hari Srivastava ◽  
Qazi Ahmad ◽  
Nasir Khan ◽  
Nazar Khan ◽  
Bilal Khan
Keyword(s):  
Unit Disk ◽  
Toeplitz Matrices ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Hankel Determinant ◽  
Toeplitz Determinants ◽  
Conic Domain

By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U . In particular, we find the Hankel determinant and the Toeplitz matrices for this newly-defined class of analytic q-starlike functions. We also highlight some known consequences of our main results.

Higher Order Close-to-Convex Functions related with Conic Domain

2014 ◽  
Vol 8 (5) ◽  
pp. 2455-2463 ◽  
Author(s):  
Khalida Inayat Noor ◽  
Muhammad Aslam Noor
Keyword(s):  
Convex Functions ◽  
Higher Order ◽  
Conic Domain

scholarly journals New subclass of q-starlike functions associated with generalized conic domain

2020 ◽  
Vol 5 (5) ◽  
pp. 4830-4848
Author(s):  
Xiaoli Zhang ◽  
◽  
Shahid Khan ◽  
Saqib Hussain ◽  
Huo Tang ◽  
...  
Keyword(s):  
Starlike Functions ◽  
Conic Domain

scholarly journals Inclusion relations of $ q $-Bessel functions associated with generalized conic domain

2021 ◽  
Vol 6 (4) ◽  
pp. 3624-3640
Author(s):  
Shahid Khan ◽  
◽  
Saqib Hussain ◽  
Maslina Darus ◽  
◽  
...  
Keyword(s):  
Bessel Functions ◽  
Conic Domain ◽  
Inclusion Relations

Curvature energy of a focal conic domain with arbitrary eccentricity

2000 ◽  
Vol 61 (2) ◽  
pp. 1574-1578 ◽  
Author(s):  
Maurice Kleman ◽  
Oleg D. Lavrentovich
Keyword(s):  
Conic Domain ◽  
Curvature Energy

scholarly journals Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 86
Author(s):  
Kadhavoor R. Karthikeyan ◽  
Gangadharan Murugusundaramoorthy ◽  
Teodor Bulboacă
Keyword(s):  
Analytic Functions ◽  
Special Functions ◽  
Starlike Functions ◽  
New Class ◽  
Complex Order ◽  
Conic Domain ◽  
Bazilevic Functions

In this paper, we defined a new class of λ-pseudo-Bazilevič functions of complex order using subordination. Various classes of analytic functions that map unit discs onto a conic domain and some classes of special functions were studied in dual. Some subordination results, inequalities for the initial Taylor–Maclaurin coefficients and the unified solution of the Fekete–Szego problem for subclasses of analytic functions related to various conic regions, are our main results. Our main results have many applications which are presented in the form of corollaries.

scholarly journals On a New Class ofp-Valent Meromorphic Functions Defined in Conic Domains

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Mohammed Ali Alamri ◽  
Maslina Darus
Keyword(s):  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Starlike Functions ◽  
Closure Properties ◽  
New Class ◽  
Conic Domain ◽  
Class Of Functions

We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain. It is also shown that this new class of functions, under certain conditions, becomes a class of starlike functions. Some results on inclusion and closure properties are also derived.

scholarly journals Nanoprofilometry study of focal conic domain structures in a liquid crystalline free surface

2017 ◽  
Vol 8 ◽  
pp. 2544-2551
Author(s):  
Anna N Bagdinova ◽  
Evgeny I Demikhov ◽  
Nataliya G Borisenko ◽  
Sergei M Tolokonnikov
Keyword(s):  
Free Surface ◽  
Liquid Crystal ◽  
High Resolution ◽  
Liquid Crystalline ◽  
Surface Profile ◽  
Free Boundaries ◽  
High Quality ◽  
Smectic A ◽  
Conic Domain ◽  
Domain Structures

This work presents the first high-resolution nanoprofilometry study consisting of nanoscale resolution surface profile measurements and high-quality visualization of a the free surface of a liquid crystal–air boundary. The capabilities of this new experimental method, as applied for liquid crystal free boundaries, are discussed. The formation of focal conic domain structures at the smectic-A–air free boundary was detected and studied.

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