Stark broadening of the lower Rydberg $n_{\alpha}$, $n_{\beta}$ and $n_{\gamma}$ lines of atomic hydrogen

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This paper deals with the calculation of line widths and lineshapes of the lower Rydberg lines of atomic hydrogen (n 5 20) in the conditions of stellar en- velopes and atmospheres - electron densities scaling from 10 9 to 10 16 cm 3 and temperatures varying between 5000 and 40000 K. For these lines, the traditional semi-classical method breaks down, especially at low densities. Another or other theoretical approaches are needed for the deter- mination of linewidths. An alternative tool is proposed in terms of collision rate methods. Data are provided for n, n and n lines.