In this paper, we study the implications of assuming different technologies for physical capital accumulation and consumption. More precisely, we assume that physical capital accumulation is relatively more energy-intensive than consumption. We conclude that this hypothesis, together with the...

The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transtion dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa...

In this paper, we study the implications of assuming different technologies for physical capital accumulation and consumption. More precisely, we assume that physical capital accumulation is relatively more energy-intensive than consumption. We conclude that this hypothesis, together with the...

The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transition dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa...

One of the traditional models for growth data is the logistic distribution. In this note, a collection of more flexible models referred to as compound growth distributions is derived. The corresponding estimation procedures are established by the method of moments. The superior performance and...

We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann–Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high...

We study the special solutions of discrete Painlevé equations which can be expressed through the discrete equivalent of quadratures. The discrete Painlevé equations examined are the ones which appear in the classification based on affine Weyl groups and which can be written as a system of two...

In a recent paper, Saxena et al. (Astro Phys. Space Sci. 282 (2002) 281) developed solutions of generalized fractional kinetic equations in terms of Mittag–Leffler functions. The object of the present paper is to derive the solution of further generalized fractional kinetic equations. Their...

The exact analytical result for a class of integrals involving (associated) Legendre polynomials of complicated argument is presented. The method employed can in principle be generalized to integrals involving other special functions. This class of integrals also proves useful in the...