In this paper we prove a Radó type result showing that there is no univalent polyharmonic mapping of the unit disk onto whole complex plane. We also establish connection between boundary functions harmonic and biharmonic mappings. Finally, show how close-to-convex can be constructed from convex mapping.

Recently, amount of work about the A-harmonic equation for the differential forms has been done. In fact, the A-harmonic equation is an important generalization of the p-harmonic equation in R, p > 1, and the p-harmonic equation is a natural extension of the usual Laplace equation see 1 for the details . The reverse Hölder inequalities have been widely studied and frequently used in analysis an...

This paper presents two diphone based Turkish text-to-speech systems; the first system is realized inside the MBROLA project, a freely available multilingual speech synthesizer and the second system is based on shape invariant harmonic modeling. Both synthesizers use the same parametric representations of two diphone databases (male, female) obtained by processing speech data with a pitch async...

Consider a soccer competition among various teams playing against each other in pairs (matches) according to a previously determined schedule. At some stage of the competition one may ask whether a particular team still has a (theoretical) chance to win the competition. The complexity of this question depends on the way scores are allocated according to the outcome of a match. For example, the ...

this paper presents a new control methodology for active power filters that provide an adaptive online harmonic estimation with partial and selective harmonic reduction schemes, which has been implemented within an integrated controller. the proposed approach is to provide partial and selective reduction of those individual harmonics which exceed the recommended levels as set by regulatory bodi...

In the paper, we first improve the radial Blaschke and harmonic Blaschke additions and introduce the p-radial Blaschke and p-harmonic Blaschke additions. Following this, Dresher type inequalities for the radial Blaschke-Minkowski homomorphisms with respect to p-radial Blaschke and p-harmonic Blaschke additions are established.

As long ago as 1962 Nitsche [8] conjectured that a harmonic homeomorphism h : A(r,R) onto −→ A(r∗, R∗) between planar annuli exists if and only if R∗ r∗ > 1 2 ` R r + r R ́ . We prove this conjecture when the domain annulus is not too wide; explicitly, when log R r 6 3 2 . For general A(r, R) the conjecture is proved under additional assumption that either h or its normal derivative have vanishi...

We present a number of results about (finite) multiple harmonic sums modulo a prime, which provide interesting parallels to known results about multiple zeta values (i.e., infinite multiple harmonic series). In particular, we prove a “duality” result for mod p harmonic sums similar to (but distinct from) that for multiple zeta values. We also exploit the Hopf algebra structure of the quasi-symm...