In this paper, based on the close relationship between the Weierstrass elliptic function ℘(ξ; g2, g3)(g2, g3, invariants) and nonlinear ordinary differential equation, a Weierstrass elliptic function expansion method is developed in terms of the Weierstrass elliptic function instead of many Jacobi elliptic functions. The mechanism is constructive and can be carried out in computer with the aid ...

The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator Delta_{uv} over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator Delta_{uv} of Srivastava and Kumar.

In a previous paper of the same titlet I have developed the fundamental principles of a general theory which includes as particular instances the theories of Cesàro and Holder summability of divergent series and divergent integrals. I further made use of these fundamental principles to prove a general theorem which includes as special cases several important theorems in the above mentioned spec...