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 On certain classes of meromorphically starlike functions

1995 ◽  
Vol 18 (3) ◽  
pp. 463-467
Author(s):  
Nak Eun Cho ◽  
Ji A. Kim
Keyword(s):  
Meromorphic Functions ◽  
Starlike Functions ◽  
New Class ◽  
Multiplier Transformation

The object of the present paper is to introduce a new class∑n(α)of meromorphic functions defined by a multiplier transformation and to investigate some properties for the class∑n(α)Further we study integrals of functions in∑n(α).

Coefficient Behavior of a Class of Meromorphic Functions

1975 ◽  
Vol 27 (5) ◽  
pp. 1157-1165
Author(s):  
J. W. Noonan
Keyword(s):  
Meromorphic Functions ◽  
Starlike Functions ◽  
Boundary Rotation ◽  
Image Position ◽  
Class Of Functions

With , denote by Λk the class of functions ƒ of the formwhich are analytic in and which map y onto the complement of a domain with boundary rotation at most . It is known [2] that ƒ ∈ Λk if and only if there exist regular starlike functions s1 and s2, withsuch that

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 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 On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function

2022 ◽  
Vol 2022 ◽  
pp. 1-8
Author(s):  
Adam Lecko ◽  
Gangadharan Murugusundaramoorthy ◽  
Srikandan Sivasubramanian
Keyword(s):  
Exponential Function ◽  
Analytic Functions ◽  
Boundary Point ◽  
Unit Disc ◽  
Starlike Functions ◽  
Analytic Formula ◽  
Coefficient Estimates ◽  
New Class ◽  
Differential Subordinations ◽  
Class Of Functions

In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc D ≔ ς ∈ ℂ : ς < 1 , by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function. Examples of some new subclasses are presented. Initial coefficient estimates are specified, and the familiar Fekete-Szegö inequality is obtained. Differential subordinations concerning these newly demarcated subclasses are also established.

Asymmetric three-dimensional Stokes flows about two fused equal spheres

2007 ◽  
Vol 463 (2085) ◽  
pp. 2329-2350 ◽  
Author(s):  
Michael Zabarankin
Keyword(s):  
Meromorphic Functions ◽  
Three Dimensional ◽  
The Body ◽  
Fredholm Integral Equations ◽  
Rigid Spheres ◽  
Riemann Boundary ◽  
Fredholm Equations ◽  
Flow Problems ◽  
Toroidal Coordinates ◽  
Class Of Functions

Exact solutions to three-dimensional Stokes flow problems for asymmetric translation and rotation of two fused rigid spheres of equal size have been obtained in toroidal coordinates. The problems have been reduced to three-contour equations for meromorphic functions from a certain class, and then the latter have been reduced to Fredholm integral equations of the second kind by the Mehler–Fock transform of order 1. For the specified class of functions, the equivalence of the corresponding three-contour and Fredholm equations has been established in the framework of Riemann boundary-value problems for analytic functions. As an illustration for the obtained solutions, the pressure has been calculated at the surface of the body for both problems, and resisting force and torque, experienced by the body in asymmetric translation and rotation, have been computed as functions of a geometrical parameter of the body.

scholarly journals A note on weakly θ-continuous functions

1989 ◽  
Vol 12 (1) ◽  
pp. 9-13 ◽  
Author(s):  
M. Mrševic ◽  
I. L. Reilly
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Weakly Continuous ◽  
Class Of Functions

Recently a new class of functions between topological spaces, called weaklyθ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weaklyθ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.

scholarly journals Hayman Admissible Functions in Several Variables

10.37236/1132 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Bernhard Gittenberger ◽  
Johannes Mandlburger
Keyword(s):  
Asymptotic Expansion ◽  
Closure Properties ◽  
Several Variables ◽  
Class Of Functions ◽  
Admissible Functions

An alternative generalisation of Hayman's concept of admissible functions to functions in several variables is developed and a multivariate asymptotic expansion for the coefficients is proved. In contrast to existing generalisations of Hayman admissibility, most of the closure properties which are satisfied by Hayman's admissible functions can be shown to hold for this class of functions as well.

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