1,721,115 research outputs found
Properties and applications of the Bicomplex Miller-Ross function
Get PDFIn this work, Miller Ross function with bicomplex arguments has been introduced. Various properties of this function including recurrence relations, integral representations and differential relations are established. Furthermore, the bicomplex holomorphicity and Taylor series representation of this function are discussed, along with the derivation of a differential equation. Finally, as applications some relations of fractional order derivatives and solutions for the bicomplex extension of the generalized fractional kinetic equation involving the bicomplex Miller Ross function are derived
Replication Data for: Facial Metrics, Aggression, and the Use of Military Force
No full textThese data sets and command file replicate the analyses reported in Facial Metrics, Aggression, and the Use of Military Forc
On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series
No full textThe aim of this article is to obtain some necessary and sufficient conditions for functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series
A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function
No full textThe main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Miller-Ross function belongs to Hardy spaces and the class-bounded analytic functions. Some of the various results which are derived in this paper are presumably new and their significance is illustrated through several interesting examples
Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain
No full textIn this research, using the Poisson-type Miller-Ross distribution, we introduce new subclasses Sakaguchi type of star functions with respect to symmetric and conjugate points and discusses their characteristic properties and coefficient estimates. Furthermore, we proved that the class is closed by an integral transformation. In addition, we pointed out some new subclasses and listed their geometric properties according to specializing in parameters that are new and no longer studied in conjunction with a Miller-Ross Poisson distribution
Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain
No full textIn this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f−1 and the Fekete–Szegö problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings
Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function
No full textIt is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing the normalized forms of the Miller–Ross functions such that they can be univalent in the open unit disk. Moreover, we find the convexity order of these operators. In proof of results, we use some differential inequalities related with Miller–Ross functions and well-known lemmas. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples
Subclass of analytic functions related with Miller-Ross-type Poisson distribution series
Get PDFsummary:The purpose of the present paper is to find a necessary and sufficient condition for the Miller-Ross-type Poisson distribution series to be in the class of analytic functions with negative coefficients. Also, we investigate several inclusion properties of the classes of Janowski type close-to-starlike functions, Janowski type close-to-convex functions and Janowski type quasi-convex functions associated with the operator defined by this distribution. Further, we consider an integral operator related to the Miller-Ross-type Poisson distribution series. Several corollaries and consequences of the main results are also considered
CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH MILLER-ROSS-TYPE POISSON DISTRIBUTION SERIES
No full textThe purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross type-Poisson distribution series, to belong to classes G(lambda, (5) and K(lambda, (5)
First record of a pygmy backswimmer (Hemiptera: Heteroptera: Pleidae) from Micronesia
No full textZack, Richard S., Moore, Aubrey, Miller, Ross H. (2007): First record of a pygmy backswimmer (Hemiptera: Heteroptera: Pleidae) from Micronesia. Zootaxa 1617 (1): 67-68, DOI: 10.11646/zootaxa.1617.1.4, URL: https://biotaxa.org/Zootaxa/article/view/zootaxa.1617.1.
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