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.
Geometric properties of Wright function
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Geometrische Eigenschaften der Lösungen der Differentialgleichung (1-zz)2wzz - n(n + 1) w= 0.
Growth results for a subclass of Bazilevich functions.
Growth Theorem and the Radius of Starlikeness of Close-to-Spirallike Functions
AMS Subj. Classification: 30C45