• Title/Summary/Keyword: strongly close-to-convex function

Search Result 3, Processing Time 0.016 seconds

CERTAIN SUBCLASS OF STRONGLY MEROMORPHIC CLOSE-TO-CONVEX FUNCTIONS

  • Gagandeep Singh;Gurcharanjit Singh; Navyodh Singh
    • Korean Journal of Mathematics
    • /
    • v.32 no.1
    • /
    • pp.73-82
    • /
    • 2024
  • The purpose of this paper is to introduce a new subclass of strongly meromorphic close-to-convex functions by subordinating to generalized Janowski function. We investigate several properties for this class such as coefficient estimates, inclusion relationship, distortion property, argument property and radius of meromorphic convexity. Various earlier known results follow as particular cases.

A GENERALIZATION OF STRONGLY CLOSE0TO-CONVEX FUNCTIONS

  • Park, Young-Ok;Lee, Suk-Young
    • Bulletin of the Korean Mathematical Society
    • /
    • v.38 no.3
    • /
    • pp.449-461
    • /
    • 2001
  • The purpose of this paper is to study several geometric properties for the new class $G_{\kappa}(\beta)$ including geometric interpretation, coefficient estimates, radius of convexity, distortion property and covering theorem.

  • PDF

SEVERAL PROPERTIES OF THE SUBCLASS OF Gk DESCRIBED BY SUBORDINATION

  • PARK, YOUNG OK
    • Honam Mathematical Journal
    • /
    • v.21 no.1
    • /
    • pp.139-147
    • /
    • 1999
  • In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.

  • PDF