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Murugusundaramoorthy, Gangadharan,Porwal, Saurabh Korean Mathematical Society 2021 대한수학회논문집 Vol.36 No.4
The tenacity of the current paper is to find connections between various subclasses of analytic univalent functions by applying certain convolution operator involving generalized hypergeometric distribution series. To be more specific, we examine such connections with the classes of analytic univalent functions k - 𝓤𝓒𝓥<sup>*</sup> (𝛽), k - 𝓢<sup>*</sup><sub>p</sub> (𝛽), 𝓡 (𝛽), 𝓡<sup>𝜏</sup> (A, B), k - 𝓟𝓤𝓒𝓥<sup>*</sup> (𝛽) and k - 𝓟𝓢<sup>*</sup><sub>p</sub> (𝛽) in the open unit disc 𝕌.
ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN
Murugusundaramoorthy Gangadharan,Cho Nak Eun 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.1
In this paper we introduce a new class L^λ_{p,Σ}(φ_α) of λ-pseudo bi-starlike functions in parabolic domain and determine the bounds for |a_2| and |a_3| where a_2, a_3 are the initial Taylor coefficients of f ∈ L_λ_{p,Σ}(φ_α). Furthermore, we estimate the Fekete-Szego ̈ functional for L^λ_{p,Σ}(φ_α).
UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POISSON DISTRIBUTION SERIES
Murugusundaramoorthy, Gangadharan The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.3
The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk.
UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POISSON DISTRIBUTION SERIES
( Gangadharan Murugusundaramoorthy ) 호남수학회 2018 호남수학학술지 Vol.40 No.3
The purpose of the present paper is to establish con-nections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribu-tion series. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk.
GANGADHARAN. MURUGUSUNDARAMOORTHY 장전수학회 2011 Advanced Studies in Contemporary Mathematics Vol.21 No.1
In this paper, we introduce a generalized class of starlike functions and obtain the subordination results and integral means inequalities . Some interesting consequences of our results are also pointed out
UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING PASCAL DISTRIBUTION SERIES
Bulboaca, Teodor,Murugusundaramoorthy, Gangadharan Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.3
The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk 𝕌.
Sokol, Janusz,Murugusundaramoorthy, Gangadharan,Kothandabani, Thilagavathi Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product (or convolution) with Srivastava-Wright convolution operator, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, $G({\lambda},{\alpha})$ and $M({\lambda},{\alpha})$. Furthermore we discuss some inclusion relations for these subclasses to be in the classes of k-uniformly convex and k-starlike functions.
Upper bounds of second Hankel determinant for universally prestarlike functions
Om Ahuja,Murugesan Kasthuri,GANGADHARAN. MURUGUSUNDARAMOORTHY,Kaliappan Vijaya 대한수학회 2018 대한수학회지 Vol.55 No.5
In \cite{Rusche1,Rusche2} the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain $\mathbb{C}\backslash \lbrack 1,\infty )$. These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order $\alpha $ with $\alpha \leq 1$ and we obtain upper bounds of the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such functions.
UPPER BOUNDS OF SECOND HANKEL DETERMINANT FOR UNIVERSALLY PRESTARLIKE FUNCTIONS
Ahuja, Om,Kasthuri, Murugesan,Murugusundaramoorthy, Gangadharan,Vijaya, Kaliappan Korean Mathematical Society 2018 대한수학회지 Vol.55 No.5
In [12,13] the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain ${\mathbb{C}}{\backslash}[1,{\infty})$. These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order ${\alpha}$ with ${\alpha}{\leq}1$ and we obtain upper bounds of the second Hankel determinant ${\mid}a_2a_4-a^2_3{\mid}$ for such functions.
Sheza M. El-Deeb,Gangadharan Murugusundaramoorthy,Alhanouf Alburaikan 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this paper, we introduce new subclasses of analytic and bi-univalent functions associated with the Mittag-Leffler-type Borel distribution by using the Legendre polynomi- als. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. We also state certain new subclasses of Σ and initial coefficient estimates and Fekete-Szegő inequalities.