In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp grow...In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp growth theorems and sharp distortion theorems for the class.The radius equation between this class and a known class of harmonic functions is given. Also,we investigate the results of modified-Hadamard product for this class.展开更多
Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain SCn (j, p, λ, α, δ) of p-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, dist...Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain SCn (j, p, λ, α, δ) of p-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorem, radii of close-to-convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SCn (j, p, λ, α, δ). Finally, several applications investigate an integral operator, and certain fractional calculus operators also considered.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 12061035)the Natural Science Foundation of Jiangxi Province (Grant No. 20212BAB201012)+1 种基金the Foundation of Education Department of Jiangxi Province (Grant No. GJJ201104)the Research Foundation of Jiangxi Science and Technology Normal University (Grant No. 2021QNBJRC003)。
文摘In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp growth theorems and sharp distortion theorems for the class.The radius equation between this class and a known class of harmonic functions is given. Also,we investigate the results of modified-Hadamard product for this class.
文摘Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain SCn (j, p, λ, α, δ) of p-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorem, radii of close-to-convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SCn (j, p, λ, α, δ). Finally, several applications investigate an integral operator, and certain fractional calculus operators also considered.
