Dihedral evaluations of hypergeometric functions with the Kleinian projective monodromy. Issue 4 (3rd April 2019)

• Record Type: Journal Article
• Authors: Vidunas, Raimundas
• Is Part Of: Integral transforms and special functions. Volume 30:Issue 4(2019)
• Page Start: 316
• Page End: 333
• Publication Date: 2019-04-03
• Subjects: Algebraic hypergeometric functions -- pull-back transformations -- monodromy -- pull-back transofrmations; 34A05 -- 33C20 -- 34M15 -- 20G05; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2019.1569650
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: Algebraic hypergeometric functions can be compactly expressed as radical or dihedral functions on pull-back curves where the monodromy group is much simpler. This article considers the classical 3 F 2 -functions with the projective monodromy group PSL( 2, F 7 ) and their pull-back transformations of degree 21 that reduce the projective monodromy to the dihedral groupD 4 of 8 elements.