A certain subclass of uniformly convex functions defined by Bessel functions

• Thirupathi Reddy, Pinninti ; Venkateswarlu, Bolineni ^[1]
  1. [1] GITAM University

     GITAM University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 4, 2019, págs. 719-731
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2019-04-0047
• Enlaces
  • Texto completo
• Resumen

  • The aim of the present paper is to investigate some characterization for generalized Bessel functions of the first kind is to be a subclass of analytic functions. Furthermore, we studied coefficient estimates, radius of starlikeness, convexity, close - to - convexity, convex linear combinations for the class T S(λ, γ). Finally we proved Integral means inequalities for the class.

• Referencias bibliográficas
  • A. Baricz, “Geometric properties of generalized Bessel function”, Publicationes Mathematicae, vol. 73, no. 1-2, pp. 155-178, 2008. [On line]....
  • A. Baricz, Generalized Bessel functions of the first kind, Ph. D. thesis, Babes-Bolyai University, Cluj-Napoca, Rumania, 2008.
  • A. Baricz, Generalized Bessel functions of the first kind, vol. 1994. Heidelberg: Springer, 2010, doi: 10.1007/978-3-642-12230-9
  • A. Baricz and B. Frasin, “Univalence of integral operators involving Bessel functions”, Applied mathematics letters, vol. 23, no. 4, pp. 371-376,...
  • A. Baricz, E. Deniz, M. Caglar and H. Orhan, “Differential subordinations involving generalized Bessels functions”, Bulletin of the malaysian...
  • N. Cho, H. Lee and R. Srivastava, “Characterizations for certain subclasses of starlike and convex functions associated with Bessel functions”,...
  • E. Deniz, H. Orhan and H. Srivastava, “Some sufficient conditions for univalence of certain families of integral operators involving generalized...
  • E. Deniz, “Convexity of integral operators involving generalized Bessel functions”, Integral transforms and special functions, vol. 24, no....
  • S. Kanas and A. Wisniowska, “Conic regions and K-uniform convexity”, Journal of computational and applied mathematics, vol. 105, no. 1-2,...
  • J. Littlewood, “On inequalities in the theory of functions”, Proceeding of the London mathematical society, Vol. s2-23, no. 1, pp. 481-519,...
  • G. Murugusundaramoorthy and N. Magesh, “On certain subclasses of analytic functions associated with hypergeometric functions”, Applied mathematics...
  • G. Murugusundaramoorthy, K. Vijaya and M. Kasturi, A note on subclasses of starlike and convex functions associated with Bessel functions,...
  • G. Murugusundaramoorthy and T. Janani, “An application of generalized Bessel functions on certain subclasses of analytic functions”, Turkish...
  • S. Porwal and K. Dixit, “An application of generalized Bessel functions on certain analytic functions”, Acta Universitatis matthiae belii...
  • C. Ramachandran, K. Dhanalakshmi and V. Lakshminarayanan, “Certain aspects of univalent function with negative coefficients defined by Bessel...
  • T. Shanmugam, “Hypergeometric functions in the geometric function theory”, Applied mathematics computation, vol. 187, no. 1, pp. 433-444,...
  • H. Silverman, “Univalent functions with negative coefficients”, Proceedings of the American mathematical society, vol. 51, pp. 109-116, 1975,...
  • H. Silverman, “A survey with open problems on univalent functions whose coefficient are negative”, Rocky Mountain journal of mathematics,...
  • H. Silverman, “Integral means for univalent functions with negative coefficient”, Houston journal of mathematics , vol. 23, no. 1, pp. 169-174,...
  • S. Sivasubramanian, T. Rosy and K. Muthunagai, “Certain sufficient conditions for a subclass of analytic functions involving Hohlov operator”,...
  • P. Thirupathi and B. Venkateshwarlou, “On a certain subclass of uniformly convex functions defined by Bessel functions”, Transylvanian journal...