scholarly journals On a Subclass of Meromorphic Functions Defined by Hilbert Space Operator

Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Thomas Rosy ◽  
S. Sunil Varma
Keyword(s):  
Hilbert Space ◽  
Meromorphic Functions ◽  
Extreme Points ◽  
Operator Coefficient ◽  
Coefficient Estimate ◽  
Space Operator ◽  
Hilbert Space Operator ◽  
Distortion Bounds

In this paper, we define a new operator on the class of meromorphic functions and define a subclass using Hilbert space operator. Coefficient estimate, distortion bounds, extreme points, radii of starlikeness, and convexity are obtained.

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül
Keyword(s):  
Hilbert Space ◽  
Integral Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Extreme Points ◽  
Space Operator ◽  
Integral Means ◽  
New Class ◽  
Coefficient Inequality ◽  
Hilbert Space Operator

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

scholarly journals Subclasses of Starlike Functions Associated with Fractional q-Calculus Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
G. Murugusundaramoorthy ◽  
C. Selvaraj ◽  
O. S. Babu
Keyword(s):  
Extreme Points ◽  
Starlike Functions ◽  
Partial Sums ◽  
Coefficient Estimate ◽  
Integral Means ◽  
Closure Theorem ◽  
Distortion Bounds

Making use of fractional q-calculus operators, we introduce a new subclass ℳq(λ,γ,k) of starlike functions and determine the coefficient estimate, extreme points, closure theorem, and distortion bounds for functions in ℳq(λ,γ,k). Furthermore we discuss neighborhood results, subordination theorem, partial sums, and integral means inequalities for functions in ℳq(λ,γ,k).

scholarly journals The closure of the similarity orbit of a Hilbert space operator

1982 ◽  
Vol 6 (3) ◽  
pp. 421-427 ◽  
Author(s):  
Constantin Apostol ◽  
Domingo A. Herrero ◽  
Dan Voiculescu
Keyword(s):  
Hilbert Space ◽  
Space Operator ◽  
Similarity Orbit ◽  
Hilbert Space Operator
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