scholarly journals A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions

2021 ◽  
Vol 21 (1) ◽  
pp. 26-38
Author(s):  
B. Venkateswarlu ◽  
◽  
P Thirupathi Reddy ◽  
R. Madhuri Shilpa ◽  
Sujatha ◽  
...  
Keyword(s):  
Meromorphic Function ◽  
Univalent Functions ◽  
Extreme Points ◽  
Zeta Functions ◽  
Partial Sums ◽  
Radius Of Starlikeness ◽  
Lerch Zeta Function ◽  
Coefficient Inequalities ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\sigma^*(\gamma, k, \lambda, b, s).$

scholarly journals A new subclass of meromorphic functions with positive coefficients defining by linear operator

2020 ◽  
Vol 16 (2) ◽  
pp. 39-49
Author(s):  
P. Thirupathi Reddy ◽  
B. Venkateswarlu ◽  
S. Sreelakshmi
Keyword(s):  
Meromorphic Functions ◽  
Univalent Functions ◽  
Extreme Points ◽  
Integral Operators ◽  
New Class ◽  
Closure Theorems ◽  
Radius Of Convexity ◽  
Coefficient Inequalities ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractIn this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E \ {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).

scholarly journals MEROMORPHIC UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

1996 ◽  
Vol 27 (1) ◽  
pp. 81-88
Author(s):  
S. M. SARANGI ◽  
SUGUNA B. URALEGADDI
Keyword(s):  
Univalent Functions ◽  
Extreme Points ◽  
Integral Operators ◽  
Starlike Functions ◽  
Distortion Theorem ◽  
Coefficient Inequalities ◽  
Meromorphic Univalent Functions

Coefficient inequalities, distortion theorem, extreme points and prop­ erty preserving integral operators are obtained for certam subclasses of meromor­phic starlike functions with negative coefficints. Convolutions of functions in these classes are also obtained.

scholarly journals A new subclass of meromorphic function with positive and fixed second coefficients

2013 ◽  
Vol 44 (3) ◽  
pp. 261-270
Author(s):  
Sivasubramanian Srikandan ◽  
N. Magesh ◽  
Maslina Darus
Keyword(s):  
Meromorphic Function ◽  
Linear Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Distortion Bounds ◽  
Convex Linear Combination ◽  
Meromorphic Univalent Functions

In this paper we introduce and study a subclass $\mathcal{M}_{P}(\alpha, \lambda, c)$ of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ by fixing the second coefficient. Further, it is shown that the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ is closed under convex linear combination.

scholarly journals UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS

1994 ◽  
Vol 25 (3) ◽  
pp. 225-230
Author(s):  
B. A. URALEGADDI ◽  
M. D. GANIGI ◽  
S. M. SARANGI
Keyword(s):  
Univalent Functions ◽  
Extreme Points ◽  
Covering Theorems ◽  
Coefficient Inequalities ◽  
Positive Coefficients

Coefficient inequalities, distortion and covering Theorems and extreme points are determined for univalent functions with positive coefficients.

scholarly journals Neighborhoods and Partial Sums of Meromorphic Univalent Functions

2005 ◽  
Vol 4 (2) ◽  
pp. 22-31
Author(s):  
G. Murugusundaramoorthy ◽  
S. V. S. Velayudam
Keyword(s):  
Univalent Functions ◽  
Subject Classification ◽  
Partial Sums ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

In this paper we determine neighborhood results and partial sums for certain class of meromorphic univalent functions with positive coefficients defined by Ruscheweyh derivatives. 2000 Mathematica Subject Classification: 30C45.

scholarly journals Pascu-Type Harmonic Functions with Positive Coefficients Involving Salagean Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
K. Vijaya ◽  
G. Murugusundaramoorthy ◽  
M. Kasthuri
Keyword(s):  
Harmonic Functions ◽  
Extreme Points ◽  
Partial Sums ◽  
Open Unit ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Convolution Properties ◽  
Positive Coefficients ◽  
Complex Valued

Making use of a Salagean operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper including the coeffcient bounds, distortion inequality, and covering property, extreme points, certain inclusion results, convolution properties, and partial sums for this generalized class of functions are discussed.

Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients

2008 ◽  
Vol 41 (2) ◽  
Author(s):  
M. K. Aouf ◽  
H. Silverman
Keyword(s):  
Univalent Functions ◽  
Hadamard Products ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractThe authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al. (J. Math. Anal. Appl. 199(1996), 495–501).

scholarly journals On Certain Subclasses of Meromorphic Functions with Positive and Fixed Second Coefficients Involving the Liu-Srivastava Linear Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
N. Magesh ◽  
N. B. Gatti ◽  
S. Mayilvaganan
Keyword(s):  
Linear Operator ◽  
Linear Combination ◽  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Univalent Functions ◽  
Extreme Points ◽  
Generalized Hypergeometric Function ◽  
Coefficient Estimates ◽  
Convex Linear Combination ◽  
Meromorphic Univalent Functions

We introduce and study a subclass ΣP(γ,k,λ,c) of meromorphic univalent functions defined by certain linear operator involving the generalized hypergeometric function. We obtain coefficient estimates, extreme points, growth and distortion inequalities, radii of meromorphic starlikeness, and convexity for the class ΣP(γ,k,λ,c) by fixing the second coefficient. Further, it is shown that the class ΣP(γ,k,λ) is closed under convex linear combination.

scholarly journals Convolution properties for subclasses of meromorphic univalent functions of complex order

Filomat ◽  
2012 ◽  
Vol 26 (1) ◽  
pp. 153-163 ◽  
Author(s):  
Teodor Bulboacă ◽  
Mohamed Aouf ◽  
Rabha El-Ashwah
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Complex Order ◽  
Inclusion Relations ◽  
Coefficient Inequalities ◽  
Convolution Properties ◽  
Meromorphic Univalent Functions

Using the new linear operator Lm(?,l)f(z) = 1/z + ??k=1(l/l+ ?k)m akzk-1, f ? ?, where l > 0, ? ? 0, and m ? N0 = N ? {0}, we introduce two subclasses of meromorphic analytic functions, and we investigate several convolution properties, coefficient inequalities, and inclusion relations for these classes.

Sign in / Sign up

Export Citation Format

Share Document