A general schlicht integral operator.
A general subclass of close-to-convex functions
A generalization of a polynomial lemma of Leja
A generalization of an inequality of Zygmund.
A generalization of Lucas' theorem to vector spaces.
A generalization of multivalent functions with negative coefficients.
A generalization of Ozaki-Nunokawa's univalence criterion.
A generalization of Pick's theorem and its applications to intrinsic metrics
A generalization of Radó's theorem
If Σ is a compact subset of a domain Ω ⊂ ℂ and the cluster values on ∂Σ of a holomorphic function f in Ω∖Σ, f' ≢ 0, are contained in a compact null-set for the holomorphic Dirichlet class, then f extends holomorphically onto the whole domain Ω.
A Generalization of Schwarz Lemma.
A generalization of the Gauss-Lucas theorem
Given a set of points in the complex plane, an incomplete polynomial is defined as the one which has these points as zeros except one of them. The classical result known as Gauss-Lucas theorem on the location of zeros of polynomials and their derivatives is extended to convex linear combinations of incomplete polynomials. An integral representation of convex linear combinations of incomplete polynomials is also given.
A generalization to the Hardy-Sobolev spaces of an - logarithmic type estimate
The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces ; , and is the open unit disk or the annulus of the complex space .
A generalized class of -starlike functions with varying arguments of coefficients.
A generalized class of starlike functions associated with the Wright hypergeometric function
A generalized operator involving the -hypergeometric function
A geometric approach to accretivity
We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.
A Geometric Condition for Bounded Mean Oscillation.
A geometric maximization problem
A mathematical model to reproduce the wave field generated by convergent lenses.
A maximum principle for the Bergman space.
Let f(z) and g(z) be holomorphic in the open unit disk D and let Zf and Zg be their zero sets. If Zf ⊃ Zg and |f(z)| ≥ |g(z)| (1/2 e-2 < |z| < 1), then || f || ≥ || g || where || · || is the Bergman norm: || f ||2 = π-1 ∫D |f(z)|2 dm (dm is the Lebesgue area measure).