On automorphic and modular forms in the space of the homogeneous polynomials with degree 2l and applications to the special matrix

Abstract

An interesting connection exists between the space of homogeneous polynomials and the representations of the homogeneous modular group F(l). This linkage leads to become automorphic and modular forms for the representations of the modular group. In this paper we also obtain new special functions, a study of which leads to new relations for usual functions.