On starlike functions related with the convex conic domain

Document Type : Research Paper


1 Department of Mathematics and Statistics‎, ‎University of Turku‎, ‎Turku‎, ‎Finland

2 University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, Poland


‎In the present paper‎, ‎we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class‎. ‎Also‎, ‎by using the Hadamard product‎, ‎we define a new general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$‎.


[1] R. Aghalary, A. Ebadian and Z. Orouji, Certain properties of rational functions involving Bessel functions, Tamkang J. Math. 43 (2012) 391–398.
[2] R. M. Ali, M. Hussain, V. Ravichandran and K. G. Subramanian, A class of multivalent functions with positive coefficients defined by convolution, J. Ineq. Pure. Appl. Math. 6 (2005) 1–9.
[3] J. Nishiwaki and S. Owa, Coefficient inequalities for analytic functions, Int. J. Math. Math. Sci. 29 (2002) 285–290.
[4] J. Nishiwaki and S. Owa, Certain classes of analytic functions concerned with uniformly starlike and convex functions, Appl. Math. Comp. 187 (2007) 350–357.
[5] S. Owa and J. Nishiwaki, Coefficient estimates for certain classes of analytic functions, J. Ineq. Pure. Appl. Math. (2002) 1–5.
[6] S. Porwal and K. K. Dixit, An application of generalized Bessel function on certain analytic functions, Acta Univ. M. Belii Ser. Math. 2013 (2013) 51–57.
[7] B. A. Uralegaddi, M. D. Ganigi and S. A. Sarangi, Univalent functions with positive coefficients, Tamkang J. Math. 25 (1994) 225–29
Volume 12, Issue 1
May 2021
Pages 567-573
  • Receive Date: 29 October 2018
  • Revise Date: 28 October 2019
  • Accept Date: 05 December 2019