On certain two-dimensional Schlömilch series. (English) Zbl 0853.33016
This paper obtains not only Lommel’s expansion for Bessel functions of the first kind, but somewhat more general sums in terms of elementary algebraic functions. Further, it derives several algebraic formulae for two-dimensional Schlömilch series from one-dimensional Schlömilch series.
Reviewer: Y.Kobayashi (Tottori)
MSC:
33E20 | Other functions defined by series and integrals |