Coefficient estimates for the class of quasi q-convex functions

In this paper we introduce and investigate the class of Pq(λ,β,A,B), which is called quasi q-starlike and quasi q-convex with respect to the values of the parameter λ. We give coefficient bounds estimates and the results for the main theorem.

___

  • Altıntaş O, Kılıc ÖÖ. Coefficient estimates for a class containing quasi-convex functions. Turkish Journal of Mathematics 2019; 42: 2819-2825.
  • Altıntaş O, Nizami M. Coefficient bounds and distortion theorems for the certain analytic functions. Turkish Journal of Mathematics 2019; 43: 985-997.
  • Goodman AW. Univalent Functions, Vol. I and Vol. II. Tampa, FL, USA; Mariner Publishing, 1983.
  • Jackson FH. On q−derivative integrals. Quarterly Journal of Pure and Applied Mathematics 1910; 41: 193-203.
  • Polatoğlu Y. Growth and distortion theorem for generalized q-starlike functions. Advances in Mathematics Scientific Journal 2016; 5 (1): 7-12.
  • Ramachandran C, Kavitha D, Soupramanien T. Certain bound for q-starlike and q-convex functions with respect to symmetric points. International Journal of Mathematics and Mathematical Sciences 2015; 2015: 205682.
  • Srivastava HM, Altıntaş O, Serenbay SK. Coefficient bounds for certain subclasses of starlike functions of complex order. Applied Mathematics Letters 2011; 24 (8): 1359-1363.
  • Uçar Özkan HE. Coefficient inequality for q-starlike functions. Applied Mathematics and Computation 2016; 276: 122-126