A note on q-analogue of Boole polynomials

In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive some new and interesting properties and identities related to special polynomials.Comment: 11 page

Technological Change, Investment in Human Capital, and Economic Growth

This paper presents a theoretical model to analyze the effects of technology change on growth rates of income and human capital. We set up an overlapping generations model in which young agents invest in both width and depth of human capital in order to adopt new technologies. The model develops explicitly the micro-mechanism of the role of human capital in adopting new technologies as well as that of the process of human capital production. In our model an increase in the technology uncertainty decreases growth rates of income and human capital by lowering efficiencies both in creating new knowledge and in adopting new technologies. We also show that, depending on the initial structure of human capital and the uncertainty about the nature of new technologies, an economy can have multiple growth paths. Hence, increased inflows of new technologies with more uncertain characteristics may affect human capital accumulation and income growth adversely, leading the economy to a low growth trap. Keywords: education, endogenous growth, human capital investment, technology adoption.

Barnes-type Daehee polynomials

In this paper, we consider Barnes-type Daehee polynomials of the first kind and of the second kind. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities.Comment: 34 page