A Generalized Subclass of p-VALENT Analytic Functions

Abstract

In this paper, a class of functions analytic in the unit disk U={z:|z|<1} of the form (p, n N, for t n) is considered. Coefficient inequality, distortion theorem, extreme points, starlikeness and convexity for this class are obtained.

Introduction

References

[1] Aouf, M.K., Certain classes of p-valent functions with negative coefficients II, Indian J. Pure Appl. 19(8) (1988), 761-767. [2] Gupta, V.P. and Jain, P.K., Certain classes of univalent functions with negative coefficients, Bull. Austr. Math. Soc. Vol. 14(1976), 409-416. [3] Gupta, V.P. and Jain, P.K., Certain classes of univalent functions with negative coefficients, Bull. Austr. Math. Soc. Vol. 15(1976), 467-473. [4] Juneja, O.P. and Mogra, M.L., Radii of convexity for certain classes of univalent analytic functions, Pacific Jour. Math. 78, (1978), 359–368. [5] Kulkarni, S.R., Aouf, M.K. and Joshi, S.B., On a subfamily of p–valent functions with negative coefficients, MATEMAT???? BECH?? 46(1994), 71–75. [6] Thirupathi Reddy, P., Certain classes of p–valent functions with negative coffocients, Indian J. Pure Appl. Math. 430 (2001), 203—206.

Copyright

Copyright © 2022 Jitendra Awasthi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.