APPLICATIONS OF LINEAR DIFFERENTIAL OPERATOR ON VARYING ARGUMENTS

VARYING ARGUMENTS

Authors

  • Dileep L. Vidyavardhaka College of Engineering, Mysuru
  • ANNAPOORNA S. Department of Mathematics, Vidyavardhaka College of Engineering, Visves- varaya Techonologiclal University, Mysuru-570 002, INDIA

Keywords:

Al-Oboudi q- di erential Operator, Univalent functions,Analytic func tions and Carlson-Sha er operator, Linear Operator

Abstract

In the present work, using Al-Oboudi operator and Carlson-Shaffer operator, we introduce a new Linear operator. The objective is to define the new subclasses of analytic functions  using the new linear operator and for functions belonging to these classes we obtain
coeffiecient estimates and many more related properties like extreme points, integral means, unified radii results etc.

Downloads

Download data is not yet available.

References

H S Al-Amiri, On Ruscheweyh derivatives, Ann. Polon. Math. 38(1980), 87-94.

Al-Oboudi F.M.: On univalent functions de ned by a generalized Salagean operator,International Journal of Mathmatical Science, (25-28), 1429-1436, 2004.

B C Carlson and D B Sha er, Starlike and prestarlike hypergeometric functions, SIAM J. on Math. Analysis 15(1984), 737-745.

Dileep L. and Latha S.: A note on Salagean-Carlson Sha er operator, International Journal of Mathematical Archive-2(2), 272-279, 2011.

DILEEP l and MALLIGE RAJEEV, Convolution operators in Geometric Function Theory, GIS Science Journal Vol.7, Issue 7, 2020, ISSn No. 1869-9391, Page, 473-483.

J E Littlewood, On inequalities in theory of functions, Proc. London Math. Soc., 23 (1925), 481-519.

St Ruscheweyh, New criteria for univalent functions, Proc. Ann. Math. Soc., Volume 6, 1975, 109-115.

G S Salagean, Subclasses of univalent functions, Lectures Notes in Math. Springer- Verlag, 2013(1983), 362- 372.

H Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc.51 (1975),109-116.

H Silverman, A survey with open problems on univalent functions whose coefficients are negative, Rocky Mountain J. Math.21(3) (1991),1099-1125.

H Silverman, Integral means for Univalent functions with negative coe cients, Houston J.Math. 23(1), (1997), 169-174.

H Silverman, Univalent functions with varying arguments, Houston Journal of Math., Vol.7, No. 2 (1981).

K Vijaya and G Murugusundaramoorthy, Some uniformly stralike functions with varying arguments, Tamkang Journal of Mathematics, Vol. 35, No. 1, Spring 2004

Published

14-11-2024

How to Cite

L., D., & S., A. (2024). APPLICATIONS OF LINEAR DIFFERENTIAL OPERATOR ON VARYING ARGUMENTS: VARYING ARGUMENTS. Communications in Mathematics and Applications, 15(2). Retrieved from http://rgnpublications.com/journals/index.php/cma/article/view/2735

Issue

Section

Research Article