On Differential Operators and Automorphic Forms
On Differential Operators and Automorphic Forms
H. L. RESNIKOFF(i)1. Let/(z) be an automorphic form of dimension -k belonging to the horocyclic group Y acting on the upper half plane H = [x + iy\x,ye R and y > 0}.R. A. Rankin [3] has found all polynomials (with complex coefficients) in / and its derivatives which are …