Subclass of analytic functions associated with Poisson distribution series
Sign Up to like & getrecommendations! Published in 2020 at "Afrika Matematika"
DOI: 10.1007/s13370-020-00788-z
Abstract: In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series $${\mathcal {K}}(m,z)=z+\sum \nolimits _{n=2}^{\infty }\frac{m^{n-1}}{(n-1)!}e^{-m}z^{n}$$ belonging to a subclass $$\mathcal {TS}(\lambda ,\alpha ,\beta )$$ of analytic functions with negative… read more here.
Keywords: distribution series; subclass; poisson distribution; analytic functions ... See more keywords
Bell Distribution Series Defined on Subclasses of Bi-Univalent Functions That Are Subordinate to Horadam Polynomials
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12040362
Abstract: Several different subclasses of the bi-univalent function class Σ were introduced and studied by many authors using distribution series like Pascal distribution, Poisson distribution, Borel distribution, the Mittag-Leffler-type Borel distribution, Miller–Ross-Type Poisson Distribution. In the… read more here.
Keywords: subclasses univalent; univalent functions; horadam polynomials; distribution series ... See more keywords
Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14010147
Abstract: In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions defined on symmetric domain by means of the Pascal distribution series and Gegenbauer polynomials. Thereafter, we provide estimates of Taylor–Maclaurin… read more here.
Keywords: new subclass; subclass analytic; analytic univalent; distribution series ... See more keywords
Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15051109
Abstract: In the real world, there are many applications that find the Pascal distribution to be a useful and relevant model. One of these is the normal distribution. In this work, we develop a new subclass… read more here.
Keywords: univalent functions; new subclass; distribution series; pascal distribution ... See more keywords