I am searching for references that express the relation between hyperconfluent geometric function of the first kind ${}_1F_1\left(a, b; z\right)$ expressed in Laguerre polynomials
for example a special case exists when parameter $a$ is negative and when $b=2a$, hyperconfluent geometric function ${}_1F_1\left(a, b; z\right)$ can be expressed in Laguerre series and is reduced to Bessel function, something like this:
${}_1F_1\left(-\frac{1}{2}; 1; \alpha\right)= e^{\frac{-\alpha}{2}} (1 + \alpha) I_0(\frac{\alpha}{2}) + \alpha I_1(\frac{\alpha}{2})$