Algébricité des fonctions méromorphes prenant certaines valeurs algébriques
Almost Analytic Extension of Ultradifferentiable Functions and the Boundary Values of Holomorphic Functions.
Almost Locally Univalent Functions.
An algebraic addition-theorem for Weierstrass' elliptic function and nomograms
A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation , are constructed. In this case, a form of the addition-theorem for Weierstrass’ function involving no derivative is used.
An analogue of Montel’s theorem for some classes of rational functions
For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best -approximation with an unbounded number of finite poles are considered.
An annular function whose derivative is not annular.
An application of the topological rigidity of the sine family.
An axiomatization of Nesterenko's method and applications on Mahler functions II
An Egoroff-type theorem for set-valued measurable functions.
An entire function sharing a polynomial with its linear differential polynomial
We study the uniqueness of entire functions which share a polynomial with their linear differential polynomials.
An entire function sharing one small entire function with its derivative.
An equivalent property to Ivory's theorem from the standpoint of conformal mapping
An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II.
An example of a Bloch function.
An extension of Schwick's theorem for normal families
In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.
An Extension of the Theorem of Steinmetz-Nevanlinna to Holomorphic Curves.
An extremal property on entire functions with positive zeros.
An F. and M. Riesz theorem for a class of infinitely connected regions
An improvement of Hayman's inequality on an angular domain
We investigate the properties of meromorphic functions on an angular domain, and obtain a form of Yang's inequality on an angular domain by reducing the coefficients of Hayman's inequality. Moreover, we also study Hayman's inequality in different forms, and obtain accurate estimates of sums of deficiencies.
An indestructible Blaschke product in the little Bloch space.
The little Bloch space, B0, is the space of all holomorphic functions f on the unit disk such that limlzl→1 lf'(z)l (1- lzl2) = 0. Finite Blaschke products are clearly in B0, but examples of infinite products in B0 are more difficult to obtain (there are now several constructions due to Sarason, Stephenson and the author, among others). Stephenson has asked whether B0 contains an infinite, indestructible Blaschke product, i.e., a Blaschke product B so that (B(z) - a)/(1 - âB(z)), is also a Blaschke...