COEFFICIENT CONDITIONS FOR HARMONIC CLOSE-TO-CONVEX FUNCTIONS

New sufficient conditions, concerned with the coefficients of harmonic functions $f(z)=h(z)+\bar{g(z)}$ in the open unit disk $\mathbb{U}$ normalized by $f(0)=h(0)=h'(0)-1=0$, for $f(z)$ to be harmonic close-to-convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close-to-convex functions satisfying the obtained conditions are enumerated.Comment: 11 pages, 6 figure

An Emerging Agricultural Problem in High-Performing Asian Economies

Distorted incentives, agricultural and trade policy reforms, national agricultural development, Agricultural and Food Policy, International Relations/Trade, F13, F14, Q17, Q18,

An emerging agricultural problem in high-performing Asian economies

Policies to tax farmers in low-income countries and policies to subsidize them in high-income countries have been identified as a major source of the disequilibrium of world agriculture. Recently, as many high-performing economies in Asia advanced from the low-income to the middle-income stage through successful industrialization, they have been confronted with the problem of a widening income gap between farm and non-farm workers corresponding to rapid shifts in comparative advantage from agriculture to manufacturing. In order to prevent this disparity from culminating in serious social and political instability, policies have been reoriented toward supporting the income of farmers. At the same time, governments in middle-income countries must continue to secure low-cost food for the urban poor who are still large in number. The need to achieve the two conflicting goals under the still weak fiscal capacity of governments tends to make agricultural policies in the middle-income stage tinkering and ineffective. Greater research inputs in this area are called for in order to prevent the growth momentum of high-performing economies in Asia from being disrupted by political crises.Economic Theory&Research,Rural Poverty Reduction,,Emerging Markets,Labor Policies

Globalization and Rural Poverty: A Perspective from a Social Observatory in the Philippines

globalization, poverty, Philippines, agriculture

Effect of magnetic anisotropy on Skyrmions with a high topological number in itinerant magnets

We report our numerical results for the effect of magnetic anisotropy on a Skyrmion crystal with a high topological number of two, which was recently discovered in an itinerant electron model [R. Ozawa, S. Hayami, and Y. Motome, Phys. Rev. Lett. 118, 147205 (2017)]. By performing numerical simulations based on the kernel polynomial method and the Langevin dynamics for the Kondo lattice model on a triangular lattice, we find that the topological property remains robust against the single-ion anisotropy, while the magnetic texture is deformed continuously. The resultant spin structure is characterized by three wave numbers (triple-$Q$ state), in which the $xy$ component of spins forms a magnetic vortex crystal and the $z$ component of spins behaves a sinusoidal wave. For larger anisotropy, we show that the system exhibits a phase transition from the Skyrmion crystal to topologically trivial phases with vanishing scalar chirality: a single-$Q$ collinear and double-$Q$ noncoplanar states for the easy-axis and easy-plane anisotropy, respectively. We also examine the effect of the single-ion anisotropy in an external magnetic field, and find that the field range of the Skyrmion crystal is rather insensitive to the anisotropy, in contrast to another Skyrmion crystal with the topological number of one whose field range is considerably extended (reduced) by the easy-axis (easy-plane) anisotropy.Comment: 7 pages, 5 figure