scholarly journals Certain classes of meromorphic $ p $-valent functions with positive coefficients

2006 ◽  
Vol 37 (3) ◽  
pp. 251-260
Author(s):  
Moa'ath Nasser ◽  
Maslina Darus
Keyword(s):  
Linear Combinations ◽  
New Class ◽  
Coefficient Inequalities ◽  
Alpha Beta ◽  
Positive Coefficients

We introduce the new class $ L(\alpha,\beta,\lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(\alpha,\beta,\lambda,p) $.

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).

Projective flatness of a new class of ( α , β ) (\alpha,\beta) -metrics

2019 ◽  
Vol 26 (1) ◽  
pp. 133-139
Author(s):  
Laurian-Ioan Pişcoran ◽  
Vishnu Narayan Mishra
Keyword(s):  
Riemannian Metric ◽  
Real Scalar ◽  
New Class ◽  
Alpha Beta ◽  
Beta 2 ◽  
Projective Flatness ◽  
The Relationship

Abstract In this paper we investigate a new {(\alpha,\beta)} -metric {F=\beta+\frac{a\alpha^{2}+\beta^{2}}{\alpha}} , where {\alpha=\sqrt{{a_{ij}y^{i}y^{j}}}} is a Riemannian metric; {\beta=b_{i}y^{i}} is a 1-form and {a\in(\frac{1}{4},+\infty)} is a real scalar. Also, we investigate the relationship between the geodesic coefficients of the metric F and the corresponding geodesic coefficients of the metric α.

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.

scholarly journals Approximation of the semi-infinite interval

1980 ◽  
Vol 3 (4) ◽  
pp. 793-796
Author(s):  
A. McD. Mercer
Keyword(s):  
Poisson Distribution ◽  
Infinite Series ◽  
Tauberian Theorem ◽  
Binomial Distribution ◽  
Present Note ◽  
Bernstein Polynomials ◽  
Special Cases ◽  
Alpha Beta ◽  
Positive Coefficients ◽  
Approximation Of A Function

The approximation of a functionf∈C[a,b]by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval[0,∞)based on the Poisson distribution. Recently R. Mohapatra has generalized Szasz' result to the case in which the approximating function isαe−ux∑k=N∞(ux)kα+β−1Γ(kα+β)f(kαu)The present note shows that these results are special cases of a Tauberian theorem for certain infinite series having positive coefficients.

Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

2010 ◽  
Vol 60 (1) ◽  
Author(s):  
Waggas Atshan
Keyword(s):  
Fractional Calculus ◽  
Unit Disc ◽  
Univalent Functions ◽  
Distortion Theorem ◽  
New Class ◽  
Fractional Calculus Operators ◽  
Coefficient Inequalities ◽  
Analytic And Univalent Functions

AbstractIn this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

scholarly journals Injectivity of linear combinations in $\mathcal{B}(\mathcal{H})$

2021 ◽  
Vol 37 ◽  
pp. 359-369
Author(s):  
Marko Kostadinov
Keyword(s):  
Linear Combination ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear Combinations ◽  
Special Cases ◽  
Sufficient And Necessary Conditions ◽  
Alpha Beta ◽  
Necessary And Sufficient

The aim of this paper is to provide sufficient and necessary conditions under which the linear combination $\alpha A + \beta B$, for given operators $A,B \in {\cal B}({\cal H})$ and $\alpha, \beta \in \mathbb{C}\setminus \lbrace 0 \rbrace$, is injective. Using these results, necessary and sufficient conditions for left (right) invertibility are given. Some special cases will be studied as well.

scholarly journals Aggregation of rapidly varying risks and asymptotic independence

2009 ◽  
Vol 41 (3) ◽  
pp. 797-828 ◽  
Author(s):  
Abhimanyu Mitra ◽  
Sidney I. Resnick
Keyword(s):  
Optimization Problem ◽  
Domain Of Attraction ◽  
Gumbel Distribution ◽  
Asymptotic Independence ◽  
Tail Behavior ◽  
Maximal Domain ◽  
Linear Combinations ◽  
Marginal Distributions ◽  
Positive Coefficients ◽  
Portfolio Design

We study the tail behavior of the distribution of the sum of asymptotically independent risks whose marginal distributions belong to the maximal domain of attraction of the Gumbel distribution. We impose conditions on the distribution of the risks (X,Y) such that P(X+Y>x) ∼ (constant) P(X>x). With the further assumption of nonnegativity of the risks, the result is extended to more than two risks. We note a sufficient condition for a distribution to belong to both the maximal domain of attraction of the Gumbel distribution and the subexponential class. We provide examples of distributions which satisfy our assumptions. The examples include cases where the marginal distributions ofXandYare subexponential and also cases where they are not. In addition, the asymptotic behavior of linear combinations of such risks with positive coefficients is explored, leading to an approximate solution of an optimization problem which is applied to portfolio design.

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 $\sigma^*(\gamma, k, \lambda, b, s).$

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