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 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.

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 Fekete-Szegö Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 842
Author(s):  
Hari Mohan Srivastava ◽  
Nazar Khan ◽  
Maslina Darus ◽  
Shahid Khan ◽  
Qazi Zahoor Ahmad ◽  
...  
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Conic Domain ◽  
Symmetrical Points

In this article, by using the concept of the quantum (or q-) calculus and a general conic domain Ω k , q , we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szegö type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a q-Bernardi integral operator.

scholarly journals On q-Starlike Functions Defined by q-Ruscheweyh Differential Operator in Symmetric Conic Domain

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1947
Author(s):  
Saira Zainab ◽  
Mohsan Raza ◽  
Qin Xin ◽  
Mehwish Jabeen ◽  
Sarfraz Nawaz Malik ◽  
...  
Keyword(s):  
Differential Operator ◽  
Starlike Functions ◽  
Partial Sums ◽  
Open Unit ◽  
New Class ◽  
Conic Domain ◽  
Ruscheweyh Derivative Operator ◽  
Ruscheweyh Derivative ◽  
Coefficient Bound ◽  
Necessary And Sufficient

Motivated by q-analogue theory and symmetric conic domain, we study here the q-version of the Ruscheweyh differential operator by applying it to the starlike functions which are related with the symmetric conic domain. The primary aim of this work is to first define and then study a new class of holomorphic functions using the q-Ruscheweyh differential operator. A new class k−STqτC,D of k-Janowski starlike functions associated with the symmetric conic domain, which are defined by the generalized Ruscheweyh derivative operator in the open unit disk, is introduced. The necessary and sufficient condition for a function to be in the class k−STqτC,D is established. In addition, the coefficient bound, partial sums and radii of starlikeness for the functions from the class of k-Janowski starlike functions related with symmetric conic domain are included.

scholarly journals Some general families of q-starlike functions associated with the Janowski functions

Filomat ◽  
2019 ◽  
Vol 33 (9) ◽  
pp. 2613-2626 ◽  
Author(s):  
H.M. Srivastava ◽  
Muhammad Tahir ◽  
Bilal Khan ◽  
Qazi Ahmad ◽  
Nazar Khan
Keyword(s):  
Sufficient Conditions ◽  
Starlike Functions ◽  
Open Unit ◽  
Additional Parameter ◽  
Open Unit Disk ◽  
Conic Domain ◽  
Janowski Functions ◽  
Distortion Theorems ◽  
The Relationship ◽  
Inclusion Results

By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions, which are associated with the Janowski functions in the open unit disk U, were introduced and studied from many different viewpoints and perspectives. In this paper, we first investigate the relationship between various known families of q-starlike functions which are associated with the Janowski functions. We then introduce and study a new subclass of q-starlike functions which involves the Janowski functions and is related with the conic domain. We also derive several properties of such families of q-starlike functions with negative coefficients including (for example) sufficient conditions, inclusion results and distortion theorems. In the last section on conclusion, we choose to point out the fact that the results for the q-analogues, which we consider in this article for 0 < q < 1, can easily (and possibly trivially) be translated into the corresponding results for the (p; q)-analogues (with 0 < q < p ?? 1) by applying some obvious parametric and argument variations, the additional parameter p being redundant.

On λ-pseudo bi-starlike functions related to some conic domains

2020 ◽  
Vol 61(12) (2) ◽  
pp. 381-392
Author(s):  
Gangadhara Murugusundaramoorthy ◽  
◽  
Janusz Sokol ◽  
Keyword(s):  
Starlike Functions

A Class of Harmonic Starlike Functions defined by Multiplier Transformation

2020 ◽  
pp. 455-469
Author(s):  
Deepali Khurana ◽  
Raj Kumar ◽  
Sibel Yalcin
Keyword(s):  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Harmonic Mappings ◽  
Distortion Bounds ◽  
Radius Of Convexity ◽  
Univalent Harmonic Mappings ◽  
Harmonic Starlike ◽  
Multiplier Transformation

We define two new subclasses, $HS(k, \lambda, b, \alpha)$ and \linebreak $\overline{HS}(k, \lambda, b, \alpha)$, of univalent harmonic mappings using multiplier transformation. We obtain a sufficient condition for harmonic univalent functions to be in $HS(k,\lambda,b,\alpha)$ and we prove that this condition is also necessary for the functions in the class $\overline{HS} (k,\lambda,b,\alpha)$. We also obtain extreme points, distortion bounds, convex combination, radius of convexity and Bernandi-Libera-Livingston integral for the functions in the class $\overline{HS}(k,\lambda,b,\alpha)$.

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