On Meromorphic Solutions of a Functional Equation of Ganapathy Iyer.
On meromorphic solutions of a functional equation of Kuczma and Smajdor. (Short Communication).
On meromorphic solutions of a functional equation of Kuczma and Smajdor.
On meromorphic solutions of certain functional equations.
On meromorphic solutions of certain functional equations. (Short Communication).
On Meromorphic Solutions of First-Order Differential Equations
On meromorphic solutions of the Riccati differential equations
We investigate the growth and Borel exceptional values of meromorphic solutions of the Riccati differential equation w' = a(z) + b(z)w + w², where a(z) and b(z) are meromorphic functions. In particular, we correct a result of E. Hille [Ordinary Differential Equations in the Complex Domain, 1976] and get a precise estimate on the growth order of the transcendental meromorphic solution w(z); and if at least one of a(z) and b(z) is non-constant, then we show that w(z)...
On Nevanlinna's proximity functions of a meromorphic function
On Nevanlinna's secondary deficiency.
On Normal Meromorphic Functions.
On oscillation theorems for differential polynomials.
On Pommerenke's inequality for the eigenvalues of fixed points
On Prime Periodic Entire Functions.
On spaces and pseudoanalytic extension.
On radial behaviour and balanced Bloch functions.
A Bloch function g is a function analytic in the unit disk such that (1 - |z|2) |g' (z)| is bounded. First we generalize the theorem of Rohde that, for every bad Bloch function, g(rζ) (r → 1) follows any prescribed curve at a bounded distance for ζ in a set of Hausdorff dimension almost one. Then we introduce balanced Bloch functions. They are characterized by the fact that |g'(z)| does not vary much on each circle {|z| = r} except for small exceptional arcs. We show e.g. that∫01 |g'(rζ)|dr <...
On ramifications divisors of functions in a punctured compact Riemann surface.
Let ν be a compact Riemann surface and ν' be the complement in ν of a nonvoid finite subset. Let M(ν') be the field of meromorphic functions in ν'. In this paper we study the ramification divisors of the functions in M(ν') which have exponential singularities of finite degree at the points of ν-ν', and one proves, for instance, that if a function in M(ν') belongs to the subfield generated by the functions of this type, and has a finite ramification divisor, it also has a finite divisor. It is also...
On random entire functions
On rational maps with two critical points.
On recurrent mod p sequences.
On Regularly Varying Functions With Applications To Functions Theory.