Fractional calculus and some properties of Sălăgean-type -starlike functions with negative coefficients.
Fully starlike and fully convex harmonic mappings of order α
The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain families of...
Functions starlike with respect to other points.
Functions with negative coefficients
Further properties of -Pascu convex functions of order .
Further results on the univalent functions with the monotonic modulus property
Fuzzy differential subordinations connected with the linear operator
We obtain several fuzzy differential subordinations by using a linear operator . Using the linear operator we also introduce a class of univalent analytic functions for which we give some properties.
General integral operator defined by Hadamard product
Generalization of certain subclasses of analytic functions.
Generalization of Sălăgean operator for certain analytic functions.
Generalization properties for certain analytic functions.
Generalizations of p-valent functions via the Hadamard product.
Generalized alpha-close-to-convex functions.
Generalized classes of starlike and convex functions of order .
Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Generalized function fractional integration operators in some classes of analytic functions
Generalized integral operator and multivalent functions.
Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αj where fj are p-valent functions starlike of order αj and aj are complex numbers. The problem we solve is to find conditions for the centre and the radius of the disc {z : |z − ω| < r}, contained in the unit disc {z : |z| < 1} and containing the origin,...
Generalized problem of starlikeness for products of close-to-star functions
We consider functions of the type , where are real numbers and are -strongly close-to-starlike functions of order . We look for conditions on the center and radius of the disk (a,r) = z:|z-a| < r, |a| < r ≤ 1 - |a|, ensuring that F((a,r)) is a domain starlike with respect to the origin.
Geometric and approximation properties of some singular integrals in the unit disk.