Calculus of archimedean Rankin--Selberg integrals with recurrence relations

Taku Ishii, Tadashi Miyazaki

Let $n$ and $n^{\prime }$ be positive integers such that $n-n^{\prime }\in \{0,1\}$. Let $F$ be either $\mathbb{R}$ or $\mathbb{C}$. Let $K_n$ and $K_{n^{\prime }}$ be maximal compact subgroups of $\mathrm{G…