Advertisement

Some Properties of Certain Class of Uniformly Convex Functions Defined by Bessel Functions

  • V. Srinivas
  • P. Thirupathi Reddy
  • H. NiranjanEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The aim of the present paper is to investigate some characterization for generalized Bessel functions of first kind that is to be subclass of analytic functions. Furthermore, we studied coefficient estimates, radius of starlikeness, convexity, close-to-convexity, and convex linear combinations for the class UB(γ, k, c). Finally we proved integral means inequalities for the class.

References

  1. 1.
    Kanas, S., Wisniowska,A.: Conic regions and K-uniforn convexity. Comput. Appl. Math. 105, 327–336 (1999)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Littlewood, J. E.: On inequalities in the theory of functions. Proc. London Math. Soc. 23(2), 481–519 (1925)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Ramachandran, Ch., Dhanalakshmi, K., Lakshminarayanan Vanitha.: Certain aspects of univalent function with negative coefficients defined by Bessel function. Brazilian archives of biology and technology. 59, 1–14 (2016)Google Scholar
  4. 4.
    Silverman, H.: Univalent functions with negative coefficients. Proc. Amer. Math. Soc. 51, 109–116 (1975)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Silverman, H.: A survey with open problems on univalent functions whose coefficient are negative. Rocky Mountain J. Math. 21(3), 1099–1125 (1991)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Silverman, H.: Integral means for univalent functions with negative coefficient, Houston J. Math., 23(1), 169–174 (1997)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • V. Srinivas
    • 1
  • P. Thirupathi Reddy
    • 2
  • H. Niranjan
    • 3
    Email author
  1. 1.Department of Mathematics, S.R.R. Government Arts & Science CollegeKarimnagarIndia
  2. 2.Department of MathematicsKakatiya UniveristyWarangalIndia
  3. 3.Department of Mathematics, School of Advanced SciencesVIT UniversityVelloreIndia

Personalised recommendations