Generalized elliptic-type integrals and their representations
In a long series of papers, J. H. Hubbell and his coauthors have studied some elliptic-type integrals occurring, for instance, in radiation field problems and in nuclear shielding (see e.g. [\textit{R. K. Saxena, S. L. Kalla, J. H. Hubbell}, Math. Balk., New Ser. 14, No. 3-4, 387-396 (2000; Zbl 1082.33504)], [\textit{P. G. Todorov, J. H. Hubbell}, Appl. Math. Comput. 61, No. 2-3, 157-161 (1994; Zbl 0797.33010)]). The author continues these studies and provides numerous formulae for this type of integrals (considered previously by \textit{S. L. Kalla} and \textit{Vu Kim Tuan}, [Comput. Math. Appl. 32, No. 4, 49-55 (1996; Zbl 0891.33010)]). Some of the formulae involve hypergeometric or Lauricella functions.
scientific article; zbMATH DE number 5078414