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.
|33E05||Elliptic functions and integrals|
|33C05||Classical hypergeometric functions, |
|30C62||Quasiconformal mappings in the plane|
|33-01||Textbooks (special functions)|
|33C75||Elliptic integrals as hypergeometric functions|