Let \(\mathbb {H}_k^*\) denote the set of all primitive holomorphic cusp forms f of even integral weight k for the full modular group \(SL_2(\mathbb {Z})\) . Suppose that \(\lambda _{f\otimes f \otimes f}(n)\) , \(\lambda _{f\otimes f \otimes g}(n)\) and \(\lambda _{\textrm{sym}^2f \otimes f}(n)\) are the n-th normalized Fourier coefficient of the the triple product L-functions \(L(s, f\otimes f \otimes f)\) , \(L(s, f\otimes f \otimes g)\) and the \(GL(3)\times GL(2)\) L-function \(L(s, \textrm{sym}^2f \otimes f)\) associated with two distinct cusp forms \(f \in \mathbb {H}_{k'}^*\) and \(g\in \mathbb {H}_{k''}^*\) , respectively. In this paper, we establish quantitative results on the number of sign changes of the sequences \(\{\lambda _{f\otimes f \otimes f}(n)\}\) , \(\{\lambda _{f\otimes f \otimes g}(n)\}\) and \(\{\lambda _{\textrm{sym}^2f \otimes f}(n)\}\) for \(n\ge 1\) over short intervals, thereby improving upon previous results.
