Duplication coefficients via generating functions

In this paper, we solve the duplication problem P_n(ax) = sum_{m=0}^{n}C_m(n,a)P_m(x) where {P_n}_{n>=0} belongs to a wide class of polynomials, including the classical orthogonal polynomials (Hermite, Laguerre, Jacobi) as well as the classical discrete orthogonal polynomials (Charlier, Meixner, Krawtchouk) for the specific case a = −1. We give closed-form expressions as well as recurrence relations satisfied by the duplication coefficients.

Improvement of Food Security in Bangladesh through Socio-Economic Empowerment of Women

Empowerment is one possible approach to increase political, social and economic participation of a target group and thus decrease food insecurity among vulnerable people. The objective of this research was to evaluate a socio-economic empowerment project implemented for 8 years in rural northern Bangladesh by using secondary data from 2000 and primary data from 2009. Three hundred women were primarily selected out of all existing and active 121 women groups formed during 8 years project implementation. Standardized interviews were conducted to collect quantitative data. In addition an overall qualitative analysis included focus group discussions, the review of project summaries and discussions with implementing staff. Data was collected on socio-economic status, rice storages and food consumption. In addition knowledge was gained on current activities of the women groups. The empowerment concept implemented in this setting was successful to increase the participants’ political, social and economic engagement and visibility. Apart from that the utilization of skills for income generation led to an improvement of the socio-economic status and food insecurity became less common. Recommendations for future projects include the increase of female members among the NGO staff as well as the further follow-up and strengthening of political acceptance and visibility of the empowered participants to sustain the outcome of the project.

Methods of generating carrier-envelope-phase stabilized, intense, few-cycle laser pulses

Ultrafast laser pulses have become an integral part of the toolbox of countless laboratories doing physics, chemistry, and biological research. The work presented here is motivated by a section in the ever-growing, interdisciplinary research towards understanding the fundamental workings of light-matter interactions. Specifically, attosecond pulses can be useful tools to obtain the desired insight. However access to, and the utility of, such pulses is dependent on the generation of intense, few-cycle, carrier-envelope-phase stabilized laser pulses. The presented work can be thought of as a sort of roadmap towards the latter. From the oscillator which provides the broadband seed to amplification methods, the integral pieces necessary for the generation of attosecond pulses are discussed. A range of topics from the fundamentals to design challenges is presented, outfitting the way towards the practical implementation of an intense few-cycle carrier-envelope-phase stabilized laser source.