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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.
MSC:
33E05Elliptic functions and integrals
33C05Classical hypergeometric functions, 2 F 1
30C62Quasiconformal mappings in the plane
33-01Textbooks (special functions)
33C75Elliptic integrals as hypergeometric functions