Certain Subclasses of Analytic p-valent Functions with Negative Coefficients

Article type: Research Article

Authors: Raina, Ravinder Krishna | Nahar, Tej Singh

Affiliations: Department of Mathematics, C.T.A.E., Campus Udaipur, Udaipur 313001, Rajasthan, India. E-mail: [email protected] | Department of Mathematics, Govt. Post-graduate College, Bhilwara 311001, Rajasthan, India

Abstract: The object of the present paper is to study certain subclasses Jp* (a,b,σ) and Cp(a,b,σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-to-convexity, starlikeness and convexity for these classes of functions.

Keywords: analytic p-valent functions, fractional derivative operator, Riemann-Liouville operator, close-to-convex functions, starlike functions, convex functions

DOI: 10.3233/INF-1998-9407

Journal: Informatica, vol. 9, no. 4, pp. 469-478, 1998