Hypergeometric functions and elliptic integrals. (English) Zbl 0984.33502

Srivastava, H. M. (ed.) et al., Current topics in analytic function theory. Singapore: World Scientific. 48-85 (1992).
Summary: This work is mainly a survey of some recent results obtained by the present authors on hypergeometric functions, complete elliptic integrals, and related functions. The emphasis is on functions that arise in the study of conformal and quasiconformal mappings. Some new results, conjectures, and open problems are also included.
For the entire collection see [Zbl 0976.00007].


33E05 Elliptic functions and integrals
33C05 Classical hypergeometric functions, \({}_2F_1\)
30C62 Quasiconformal mappings in the complex plane
33-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions
33C75 Elliptic integrals as hypergeometric functions