We define a type of generalized asymptotic series called v-asymptotic. We show that every function with moderate growth at infinity has a v-asymptotic expansion. We also describe the set of v-asymptotic series, where a given function with moderate growth has a unique v-asymptotic expansion. As an application to random matrix theory we calculate the coefficients and establish the uniqueness of t...

In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We shown that the (G`/G)-expansion method is a special case of the generalized tanh-function type method, so the (G`/G) -expansion method is included by the transformed rational function method. We demonstrate that all solutions obtained by the (G`/G)-expansion method...

The near threshold expansion of generalized sunset-type (water melon) diagrams with arbitrary masses is constructed by using a configuration space technique. We present analytical expressions for the expansion of the spectral density near threshold and compare it with the exact expression obtained earlier using the method of the Hankel transform. We formulate a generalized threshold expansion w...