Multivalent Prestarlike Functions with Respect to Symmetric Points
Daniel Breaz,
Kadhavoor R. Karthikeyan,
Alagiriswamy Senguttuvan
Affiliations
Daniel Breaz
Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, G. Bethlen Street, No. 5-8, 510009 Alba Iulia, Romania
Kadhavoor R. Karthikeyan
Department of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Muscat P.O. Box 620, Oman
Alagiriswamy Senguttuvan
Department of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Muscat P.O. Box 620, Oman
A class of p-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimates and the solution to the Fekete–Szegő problem are obtained for the defined function class. Further, we extended the results using quantum calculus. Several consequences of our main results are pointed out.
