Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients.
Growth of solutions of complex differential equations with coefficients of finite iterated order.
Growth of solutions of higher-order linear differential equations.
Growth of solutions to higher order linear homogeneous differential equations in angular domains.
Growth of solutions to linear differential equations with entire coefficients of slow growth.
Growth of the coefficient auf quasiconformality and the boundary correspondence of automorphisms of a ball.
Growth of the product
We estimate the maximum of on the unit circle where 1 ≤ a₁ ≤ a₂ ≤ ... is a sequence of integers. We show that when is or when is a quadratic in j that takes on positive integer values, the maximum grows as exp(cn), where c is a positive constant. This complements results of Sudler and Wright that show exponential growth when is j. In contrast we show, under fairly general conditions, that the maximum is less than , where r is an arbitrary positive number. One consequence is that the...
Growth results for a subclass of Bazilevich functions.
Growth Theorem and the Radius of Starlikeness of Close-to-Spirallike Functions
AMS Subj. Classification: 30C45
Grunsky coefficient inequalities, Caratheodory metric and extremal quasiconformal mappings.
H1-BMO duality on Riemann surfaces.
Hadamard product of certain meromorphic -valent starlike and -valent convex functions.
Hadamard Products of Schlicht Functions and the Pólya-Schoenberg Conjecture
Hadamard's multiplication theorem - recent developments
Half-twists and equations in genus 2.
Hamilton sequences and extremality for certain Teichmüller mappings.
Hankel determinants for the Fibonacci word and Padé approximation
Hankel forms
It is an open question whether Nehari's theorem on the circle group has an analogue on the infinite-dimensional torus. In this note it is shown that if the analogue holds, then some interesting inequalities follow for certain trigonometric polynomials on the torus. We think these inequalities are false but are not able to prove that.
Hankel forms and sums of random variables
A well known theorem of Nehari asserts on the circle group that bilinear forms in H² can be lifted to linear functionals on H¹. We show that this result can be extended to Hankel forms in infinitely many variables of a certain type. As a corollary we find a new proof that all the norms on the class of Steinhaus series are equivalent.
Hardy class of functions defined by the Salagean operator
We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.