The finite group of the Kummer solutions

Integral Transforms and Special Functions

Volumn 16, Issue 2, 2005, Pages 153-158

  Lievens, S ^a   Rao, K Srinivasa ^b   Van Der Jeugt, J ^b  

^a GHENT UNIVERSITY   (Belgium)

^b INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

Hypergeometric series; Kummer solutions; Symmetries of the cube

Indexed keywords

EID: 27844601972     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460410001672997     Document Type: Article

References (10)

1. Kummer, E.E., 1836, Über die hypergeometrische Reihe. Journal of Mathematics, 15, 39-83 and 123-172.
2. Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, FG., 1953, Higher Transcendental Functions. Vol. 1. (New York: McGraw-Hill).
3. Bailey, W.N., 1935, Generalized Hypergeometric Series (Cambridge: Cambridge Univ. Press).
4. Slater, L.J., 1966, Generalized Hypergeometric Functions (Cambridge: Cambridge Univ. Press).
5. Prosser, R.T., 1994, On the Kummer solutions of the hypergeometric equation. American Mathematics Monthly, 101(6), 535-543.
6. Iwasaki, K., Kimura, H., Shimomura, S. and Yoshida, M., 1991, From Gauss to Painlevé. A Modern Theory of Special Functions. Aspects of Mathematics, E16 (Braunschweig: Friedr. Vieweg & Sohn).
7. Andrews, G.E., Askey, R. and Roy, R., 1999, Special Functions. Encylopedia of Mathematics and its Applications. Vol. 71. (Cambridge: Cambridge Univ. Press).
8. Miller, W. Jr., 1972, Symmetry Groups and Their Applications (New York: Academic Press).
9. Budden, F.J., 1972, The Fascination of Groups (Cambridge: Cambridge Univ. Press).
10. Whittaker, E.T. and Watson, G.N., 1965, A Course of Modern Analysis (Cambridge: Cambridge Univ. Press).