This paper is to show a non-vanishing property of the derivatives of certain class of $L$-functions. We study the non-vanishing and transcendence of special values of $L$-functions and their derivatives, attached to (cuspidal) Siegel-Hecke eigenforms of genus $2$, quadratic twists of classical Hecke eigenforms, and half-integral weight modular forms.
"Non-vanishing of derivatives of certain modular $L$-functions." Funct. Approx. Comment. Math. 51 (1) 121 - 132, September 2014. https://doi.org/10.7169/facm/2014.51.1.6