The Experts below are selected from a list of 282 Experts worldwide ranked by ideXlab platform
V Ravichandran - One of the best experts on this subject based on the ideXlab platform.
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coefficient and radius estimates of starlike functions with Positive Real Part
arXiv: Complex Variables, 2019Co-Authors: Sushil Kumar, V RavichandranAbstract:Let $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ denote the classes of analytic functions $f$ in the open unit disk normalized by conditions $f(0)=0$ and $f'(0)=1$ satisfying the subordination $zf'(z)/f(z)\prec e^z$ and $zf'(z)/f(z)\prec 1+z(k+z)/(k(k-z))=:\varphi_\mathcal{R}(z)$ where $k=\sqrt{2}+1$ respectively. In this paper, we obtain the sharp bound for the fifth coefficient for the functions in the class $\mathscr{S}^*_e$. The upper bound for certain types of Hankel determinant for the classes $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ is also investigated. In addition, some radius estimates associated with the subclasses $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ are also computed.
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differential subordination for janowski functions with Positive Real Part
arXiv: Complex Variables, 2019Co-Authors: Swati Anand, Sushil Kumar, V RavichandranAbstract:Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition. We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with Positive Real Part. As applications, we obtain sufficient conditions for normalized analytic functions to be Janowski starlike functions.
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Starlike Functions Related to the Bell Numbers
Symmetry, 2019Co-Authors: Sushil Kumar, V Ravichandran, Virendra Kumar, Hari M. SrivastavaAbstract:The present paper aims to establish the first order differential subordination relations between functions with a Positive Real Part and starlike functions related to the Bell numbers. In addition, several sharp radii estimates for functions in the class of starlike functions associated with the Bell numbers are determined.
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applications of first order differential subordination for functions with Positive Real Part
Studia Universitatis Babes-Bolyai Matematica, 2018Co-Authors: Om P Ahuja, Sushil Kumar, V RavichandranAbstract:Several inclusions between the class of functions with Positive Real Part and the class of starlike univalent functions associated with lemniscate of Bernoulli are obtained by making use of the well-known theory of differential subordination. Further, these inclusions give sufficient conditions for normalized analytic functions to belong to some subclasses of starlike functions. The results also provide sharp version of some previously known results.
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subordinations for functions with Positive Real Part
Complex Analysis and Operator Theory, 2018Co-Authors: Sushil Kumar, V RavichandranAbstract:Some sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a rational, exponential, or sine function. By applying these results, we also obtain sufficient conditions for normalized analytic functions to be in certain well known subclasses of starlike functions.
Basem Aref Frasin - One of the best experts on this subject based on the ideXlab platform.
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general integral operator of analytic functions involving functions with Positive Real Part
Journal of Mathematics, 2013Co-Authors: Basem Aref FrasinAbstract:Let be the integral operator defined by where each of the functions and are, respectively, analytic functions and functions with Positive Real Part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.
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integral operator of analytic functions with Positive Real Part
Kyungpook Mathematical Journal, 2011Co-Authors: Basem Aref FrasinAbstract:In this paper, we introduce the integral operator (, , ; , , )(z) analytic functions with Positive Real Part. The radius of convexity of this integral operator when = 1 is determined. In Particular, we get the radius of starlikeness and convexity of the analytic functions with Re {f(z)/z} > 0 and Re {f'(z)} > 0. Furthermore, we derive sufficient condition for the integral operator (, , ; , , )(z) to be analytic and univalent in the open unit disc, which leads to univalency of the operators dt and .
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on certain functions with Positive Real Part
2006Co-Authors: Georgia Irina Oros, Basem Aref FrasinAbstract:We nd conditions on the complex-valued functions A; B; C : U ! C dened in the unit disc U and the Real constants ; ; such that the dieren tial inequality
Sushil Kumar - One of the best experts on this subject based on the ideXlab platform.
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coefficient and radius estimates of starlike functions with Positive Real Part
arXiv: Complex Variables, 2019Co-Authors: Sushil Kumar, V RavichandranAbstract:Let $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ denote the classes of analytic functions $f$ in the open unit disk normalized by conditions $f(0)=0$ and $f'(0)=1$ satisfying the subordination $zf'(z)/f(z)\prec e^z$ and $zf'(z)/f(z)\prec 1+z(k+z)/(k(k-z))=:\varphi_\mathcal{R}(z)$ where $k=\sqrt{2}+1$ respectively. In this paper, we obtain the sharp bound for the fifth coefficient for the functions in the class $\mathscr{S}^*_e$. The upper bound for certain types of Hankel determinant for the classes $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ is also investigated. In addition, some radius estimates associated with the subclasses $\mathscr{S}^*_e$ and $\mathscr{S}^*_\mathcal{R}$ are also computed.
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differential subordination for janowski functions with Positive Real Part
arXiv: Complex Variables, 2019Co-Authors: Swati Anand, Sushil Kumar, V RavichandranAbstract:Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition. We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with Positive Real Part. As applications, we obtain sufficient conditions for normalized analytic functions to be Janowski starlike functions.
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Starlike Functions Related to the Bell Numbers
Symmetry, 2019Co-Authors: Sushil Kumar, V Ravichandran, Virendra Kumar, Hari M. SrivastavaAbstract:The present paper aims to establish the first order differential subordination relations between functions with a Positive Real Part and starlike functions related to the Bell numbers. In addition, several sharp radii estimates for functions in the class of starlike functions associated with the Bell numbers are determined.
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applications of first order differential subordination for functions with Positive Real Part
Studia Universitatis Babes-Bolyai Matematica, 2018Co-Authors: Om P Ahuja, Sushil Kumar, V RavichandranAbstract:Several inclusions between the class of functions with Positive Real Part and the class of starlike univalent functions associated with lemniscate of Bernoulli are obtained by making use of the well-known theory of differential subordination. Further, these inclusions give sufficient conditions for normalized analytic functions to belong to some subclasses of starlike functions. The results also provide sharp version of some previously known results.
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subordinations for functions with Positive Real Part
Complex Analysis and Operator Theory, 2018Co-Authors: Sushil Kumar, V RavichandranAbstract:Some sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a rational, exponential, or sine function. By applying these results, we also obtain sufficient conditions for normalized analytic functions to be in certain well known subclasses of starlike functions.
Zhihua Chen - One of the best experts on this subject based on the ideXlab platform.
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schwarz pick estimates for Positive Real Part holomorphic functions on unit ball and polydisc
Science China-mathematics, 2010Co-Authors: Zhihua ChenAbstract:We give higher order derivatives Schwarz-Pick estimates for all Positive Real Part holomorphic functions on Bn and Dn, and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with Positive Real Part on unit disk in ℂ.
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A note on Schwarz-Pick estimate
Chinese Annals of Mathematics Series B, 2010Co-Authors: Zhihua ChenAbstract:A Schwarz-Pick estimate of higher order derivative for holomorphic functions with Positive Real Part on Bn is presented. This improves the earlier work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with Positive Real Part on the unit disk in ℂ.
G Murugusundaramoorthy - One of the best experts on this subject based on the ideXlab platform.
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coefficient estimate of p valent bazilevic functions with a bounded Positive Real Part
Boletim da Sociedade Paranaense de Matemática, 2015Co-Authors: O S Babu, C Selvaraj, S Logu, G MurugusundaramoorthyAbstract:By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\
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coefficient estimate of certain subclasses of convex p valent functions with a bounded Positive Real Part
International journal of pure and applied mathematics, 2014Co-Authors: O S Babu, C Selvaraj, G MurugusundaramoorthyAbstract:We estimate the bounds of coefficients and solve Fekete-Szego problem for p−valent Mocanu-convex and Pascu-type functions in the open unit disk △ which maps △ onto the strip domain w with p� < ℜw < p�.
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COEFFICIENT ESTIMATE OF CERTAIN SUBCLASSES OF CONVEX $p-$VALENT FUNCTIONS WITH A BOUNDED Positive Real Part
International journal of pure and applied mathematics, 2014Co-Authors: O S Babu, C Selvaraj, G MurugusundaramoorthyAbstract:We estimate the bounds of coefficients and solve Fekete-Szego problem for p−valent Mocanu-convex and Pascu-type functions in the open unit disk △ which maps △ onto the strip domain w with p� < ℜw < p�.
