The hyperbolic metric of a rectangle.
The hyperbolic square and Möbius transformations.
The hyper-order of solutions of certain linear complex differential equations
We prove some theorems on the hyper-order of solutions of the equation , where Q is an entire function, which is a polynomial or not, and a is an entire function whose order can be larger than 1. We improve some results by J. Wang and X. M. Li.
The improvement of the value distribution on
The inner Carathédory distance for the annulus.
The integral means spectrum for lacunary series.
The integral operator on the class.
The integral operator on the class.
The integral operator on the class.
The interior of discrete projective structures in the Bers fiber.
The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains.
The Iversen theorem in a polydisc.
The Jenkins Strebel differentials with one cylinder are dense.
The Laguerre inequality and the distribution of zeros of entire functions
The Laguerre inequality and the distribution of zeros of real entire functions are investigated with the aid of certain infinite-order differential operators. The paper includes new proofs, problems, conjectures and many illustrative examples and counterexamples.
The laplacian operator on a Riemann surface
The laplacian operator on a Riemann surface, II
The laplacian operator on a Riemann surface, III
The large sieve in Riemann surfaces
The law of the iterated logarithm for locally univalent functions.
The Legendre Formula in Clifford Analysis
2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space. The elliptic Cliffordian functions may be generated by the z2m+2 function, analogous to the well-known Weierstrass z-function. The latter satisfies a Legendre equality. We prove a corresponding formula at the level of the monogenic function Dm z2m+2.