We study the special values of the triple product $p$-adic $L$-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can be seen as extending the Elliptic Stark Conjecture, and we provide theoretical evidence for them by proving some particular cases.
"On the Elliptic Stark Conjecture in higher weight." Publ. Mat. 64 (2) 577 - 619, 2020. https://doi.org/10.5565/PUBLMAT6422009