Applications of Linear Differential Operator on Varying Arguments

Authors

  • S. Annapoorna Department of Mathematics, Vidyavardhaka College of Engineering (affiliated to Visvesvaraya Technological University), Mysuru 570002, Karnataka, India https://orcid.org/0009-0004-4658-7107
  • L. Dileep Department of Mathematics, Vidyavardhaka College of Engineering (affiliated to Visvesvaraya Technological University), Mysuru 570002, Karnataka, India https://orcid.org/0000-0002-1059-0118

DOI:

https://doi.org/10.26713/cma.v15i2.2735

Keywords:

Al-Oboudi q-differential operator, Univalent functions, Analytic functions and Carlson-Shaffer operator, Linear operator

Abstract

In the present work, using Al-Oboudi operator and Carlson-Shaffer operator, we introduce a new Linear operator \(\mathcal{AS}_{\lambda, q}^{\delta}\). The objective is to define the new subclasses of analytic functions \(\mathcal{VS}_{\lambda,\delta}^{\alpha, \beta} (a,c,n; q)\), \(\mathcal{VS}_{\lambda,\delta}^{\alpha}(a,c,n;q) \) using the above linear operator and for functions belonging to these classes we obtain coefficient estimates and many more related properties like extreme points, integral means, unified radii results etc.

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References

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Published

14-11-2024
CITATION

How to Cite

Annapoorna, S., & Dileep, L. (2024). Applications of Linear Differential Operator on Varying Arguments. Communications in Mathematics and Applications, 15(2), 791–799. https://doi.org/10.26713/cma.v15i2.2735

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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