In this work, a new class of analytic and univalent functions , , with respect to other points that include symmetrical and conjugats in the unit disk are studied. The estimated coefficients are calculated respectively for each class of functions. The fractional calculus techniques where were used to study the distortion theorem. The fractional integral operator was used to satistfy the analytic function f(z) in a simply-connected region of the z-plane containing the origin on a class , and hence concluded to the analytic fonctions f(z) on the calsses and .
Srivastava, H.M. and Owa, S. (Eds.) (1989) Univalent Functions, Fractional Calculus and Their Applications. In: Ellis Harwood Limited, Chichester, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane and Toronto.
Srivastava, H.M., Saigo, M. and Owa, S. (1988) A Class of Distortion Theorem of Fractional Calculus. Journal of Mathematical Analysis and Applications, 131, 412-420.
Esa, Gh.H. and Darus, M. (2007) Application of Fractional Calculus Operators to a Certain Class of Univalent Functions with Negative Coefficient. International Mathematical Forum, 2, 2807-2814. https://doi.org/10.12988/imf.2007.07253