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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.
STARLIKENESS OF MULTIVALENT MEROMORPHIC HARMONIC FUNCTIONS
Murugusundaramoorthy, G. Korean Mathematical Society 2003 대한수학회보 Vol.40 No.4
We give sufficient coefficient conditions for starlikeness of a class of complex-valued multivalent meromorphic harmonic and orientation preserving functions in outside of the unit disc. These coefficient conditions are also shown to be necessary if the coefficients of the analytic part of the harmonic functions are positive and the coefficients of the co-analytic part of the harmonic functions are negative. We then determine the extreme points, distortion bounds, convolution and convex combination conditions for these functions.
ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN
Murugusundaramoorthy Gangadharan,Cho Nak Eun 경남대학교 기초과학연구소 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.
Murugusundaramoorthy, G.,Janani, T.,Cho, Nak Eun The Youngnam Mathematical Society 2016 East Asian mathematical journal Vol.32 No.1
The purpose of the present paper is to introduce and investigate two new subclasses of bi-univalent functions of complex order defined in the open unit disk, which are associated with Hurwitz-Lerch zeta function and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ${\mid}a_2{\mid}$ and ${\mid}a_3{\mid}$ for functions in the new subclasses. Several (known or new) consequences of the results are also pointed out.
A subclass of harmonic functions associated with wright hypergeometric functions
G. Murugusundaramoorthy,K. Vijaya 장전수학회 2009 Advanced Studies in Contemporary Mathematics Vol.18 No.1
We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric function which are orientation preserving and univalent in the open unit disc . We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.
G. MURUGUSUNDARAMOORTHY,H. Ö. guney,K. Vijaya 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.1
In this paper, we familiarize and explore a new subclass of bi-prestarlike functions defined in the open unit disk, related with Gegenbauer polynomials. Furthermore, we find estimates of first two coeffcients of functions in these classes, making use of the Gegenbauer polynomials. Also, we obtain the Fekete-Szego inequalities for function in these classes. Several consequences of the results are also pointed out as corollaries.
Starlikeness of multivalent meromorphic harmonic functions
G. Murugusundaramoorthy 대한수학회 2003 대한수학회보 Vol.40 No.4
We give sufficient coefficient conditions for starlikeness of aclass of complex-valued multivalent meromorphic harmonic andorientation preserving functions in outside of the unit disc.These coefficient conditions are also shown to be necessary if thecoefficients of the analytic part of the harmonic functions arepositive and the coefficients of the co-analytic part of theharmonic functions are negative. We then determine the extremepoints, distortion bounds, convolution and convex combinationconditions for these functions.
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 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.