In this paper we give complete characterizations, in terms of Dini numbers and integrals, of positive functions $\Phi (u)$ defined in $ (0, \infty)$ satisfying the conditions: (i) $\Phi (u)/u^a$ is ...

Approximations in the form of power series often diverge outside a limited area known as the region of convergence (ROC), which negatively affects the accuracy of the resulting asymptotic series. In ...

We derive asymptotic expansions for the Green functions associated with coercive difference equations on general lattices. These expansions lead to rigorous methods for approximating the lattice Green ...

Development of asymptotic magnitude Bode plots for integer-order transfer functions is a well-established topic in the control theory. However, construction of such plots for the fractional-order ...

These inequalities are essential for understanding the asymptotic behavior of partition functions and their generalizations, such as plane partitions and overpartitions.