Some Geometric Properties of Generalized Class of Meromorphic Functionsassocisted with Higher Ruscheweyh Derivatives

The applications of Ruscheweyh derivative are studied and discussed of class of meromorphic multivalent application. We get some interesting geometric properties, such as coefficient bound, Convex linear combination, growth and distortion bounds, radii of starlikenss , convexity and neighborhood property.

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

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.44.2013.1108 ◽

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 ◽

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.

On Some Classes of Idempotent Operators

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488597000300 ◽

1997 ◽

Vol 05 (04) ◽

pp. 401-410 ◽

Cited By ~ 2

Author(s):

G. Mayor ◽

J. Torrens

Keyword(s):

Linear Combination ◽

Representation Theorem ◽

Special Kind ◽

Classical Representation ◽

Aggregation Functions ◽

Idempotent Operators ◽

Special Cases ◽

In this paper we deal with the idempotency equation H(x,x)=x for all x∈[0,1]. In particular we solve it for two special cases. First when H is a convex linear combination of a strict t-norm and its (1-j)-dual and second, when H is a convex linear combination of a special kind of aggregation functions F=<(f,N)> and its N-dual, being these aggregation functions, called L-representable aggregation functions, a kind of functions verifying a similar representation theorem to the classical representation theorem for non strict Archimedean t-norms.

Non-equilibrium steady states of a Markov generator of weak coupling limit type modeling absorption-emission of m and n photons

Infinite Dimensional Analysis Quantum Probability and Related Topics ◽

10.1142/s0219025716500235 ◽

2016 ◽

Vol 19 (04) ◽

pp. 1650023 ◽

Cited By ~ 1

Author(s):

Marco A. Cruz-de la Rosa ◽

Roberto Quezada

Keyword(s):

Linear Combination ◽

Weak Coupling ◽

Detailed Balance ◽

Weak Coupling Limit ◽

Steady States ◽

Emission Rates ◽

Simultaneous Emission ◽

Markov Generator ◽

Non Equilibrium

We study detailed balance and non-equilibrium steady states of a Markov generator of weak coupling limit type, modeling absorption and simultaneous emission of [Formula: see text]- and [Formula: see text]-photons, with [Formula: see text]. In the case [Formula: see text], under natural constraints on the absorption and emission rates, there exist infinitely many non-equilibrium steady states which are convex linear combination of even and odd states.

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

ISRN Mathematical Analysis ◽

10.5402/2012/698307 ◽

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 ◽

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.

A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies

Abstract and Applied Analysis ◽

10.1155/2014/162060 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11

Author(s):

José Antonio López Ortí ◽

Francisco José Marco Castillo ◽

María José Martínez Usó

Keyword(s):

Linear Combination ◽

Numerical Integration ◽

Body Problem ◽

Numerical Solutions ◽

Orbital Motion ◽

Planetary Motion ◽

Two Body Problem ◽

New Family ◽

Analytical Development ◽

This paper aimed to address the study of a new family of anomalies, called natural anomalies, defined as a one-parameter convex linear combination of the true and secondary anomalies, measured from the primary and the secondary focus of the ellipse, and its use in the study of analytical and numerical solutions of perturbed two-body problem. We take two approaches: first, the study of the analytical development of the basic quantities of the two-body problem to be used in the analytical theories of the planetary motion and second, the study of the minimization of the errors in the numerical integration by an appropriate choice of parameters in our family for each value of the eccentricity. The use of an appropriate value of the parameter can improve the length of the developments in the analytical theories and reduce the errors in the case of the numerical integration.

Springer Proceedings in Mathematics & Statistics - Formal and Analytic Solutions of Diff. Equations ◽

Determinantal Form for Ladder Operators in a Problem Concerning a Convex Linear Combination of Discrete and Continuous Measures

10.1007/978-3-319-99148-1_16 ◽

2018 ◽

pp. 263-274 ◽

Cited By ~ 1

Author(s):

Carlos Hermoso ◽

Edmundo J. Huertas ◽

Alberto Lastra

Keyword(s):

Linear Combination ◽

Ladder Operators ◽

Continuous Measures ◽

Determinantal Form

Entanglement and Distillability in Qutrit-Qutrit Systems by Convex Linear Combination

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1421-2 ◽

2012 ◽

Vol 52 (4) ◽

pp. 1061-1074 ◽

Cited By ~ 5

Author(s):

Wei Cheng ◽

Fang Xu ◽

Hua Li ◽

Gang Wang

Keyword(s):

Linear Combination ◽

The First Moments and Semi-Moments of Fuzzy Variables Based on an Optimism-Pessimism Measure with Application for Portfolio Selection

New Mathematics and Natural Computation ◽

10.1142/s1793005720500167 ◽

2020 ◽

Vol 16 (02) ◽

pp. 271-290

Author(s):

Justin Dzuche ◽

Christian Deffo Tassak ◽

Jules Sadefo Kamdem ◽

Louis Aimé Fono

Keyword(s):

Linear Combination ◽

Portfolio Selection ◽

Fuzzy Variable ◽

Expected Value ◽

Mathematical Science ◽

Optimal Portfolios ◽

Fuzzy Variables ◽

Possibility, necessity and credibility measures are used in the literature in order to deal with imprecision. Recently, Yang and Iwamura [L. Yang and K. Iwamura, Applied Mathematical Science 2(46) (2008) 2271–2288] introduced a new measure as convex linear combination of possibility and necessity measures and they determined some of its axioms. In this paper, we introduce characteristics (parameters) of a fuzzy variable based on that measure, namely, expected value, variance, semi-variance, skewness, kurtosis and semi-kurtosis. We determine some properties of these characteristics and we compute them for trapezoidal and triangular fuzzy variables. We display their application for the determination of optimal portfolios when assets returns are described by triangular or trapezoidal fuzzy variables.

On a subclass of analytic functions defined by Ruscheweyh operator

Creative Mathematics and Informatics ◽

10.37193/cmi.2012.01.08 ◽

2012 ◽

Vol 21 (1) ◽

pp. 49-56

Author(s):

ABDUL RAHMAN SALMAN JUMA ◽

◽

LUMINITA-IOANA COTIRLA ◽

Keyword(s):

Analytic Function ◽

Analytic Functions ◽

Unit Disc ◽

Inclusion Relation ◽

Distortion Bounds ◽

Ruscheweyh Derivative ◽

Coefficient Condition ◽

Necessary And Sufficient

By using the Ruscheweyh derivative, we have introduced a subclass of analytic functions with negative coefficients in the unit disc. Some properties of analytic function as necessary and sufficient coefficient condition for this class are provided. Distortion bounds, inclusion relation and various properties are also determined.

Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions

Journal of Function Spaces ◽

10.1155/2021/4343163 ◽

2021 ◽

Vol 2021 ◽

pp. 1-9

Author(s):

Muhammad Ghaffar Khan ◽

Bakhtiar Ahmad ◽

Nazar Khan ◽

Wali Khan Mashwani ◽

Sama Arjika ◽

...

Keyword(s):

Poisson Distribution ◽

Analytic Functions ◽

Convex Combination ◽

Partial Sums ◽

Sufficient Condition ◽

Necessary And Sufficient Condition ◽

Geometric Properties ◽

Distortion Bounds ◽

Janowski Functions ◽

Necessary And Sufficient

In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.