Computes the Kummer's function, or confluent hypergeometric function.
kummer(a, b, z, eps = 1e-06)A numeric value: the value of the Kummer's function,
with two attributes attr(, "epsilon") (precision of the result) and attr(, "k") (number of iterations).
numeric.
numeric
numeric vector.
numeric. Precision for the sum (default 1e-06).
Pierre Santagostini, Angélina El Ghaziri, Nizar Bouhlel
The Kummer's confluent hypergeometric function is given by: $$\displaystyle{_1 F_1\left(a, b; z\right) = \sum_{n = 0}^{+\infty}{ \frac{ (a)_n }{ (b)_n } \frac{z^n}{n!} }}$$
where \((z)_p\) is the Pochhammer symbol (see pochhammer).
The eps argument gives the required precision for its computation.
It is the attr(, "epsilon") attribute of the returned value.
El Ghaziri, A., Bouhlel, N., Sapoukhina, N., Rousseau, D., On the importance of non-Gaussianity in chlorophyll fluorescence imaging. Remote Sensing 15(2), 528 (2023). tools:::Rd_expr_doi("10.3390/rs15020528")