Inequalities for the perimeter of an ellipse

Journal of Mathematical Analysis and Applications

Volumn 260, Issue 2, 2001, Pages 295-306

  Barnard, Roger W ^a   Pearce, Kent ^a   Schovanec, Lawrence ^a  

^a TEXAS TECH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035882860     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7128     Document Type: Article

References (7)

1. G. Almkvist and B. Berndt, Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π, and the Ladies Diary, Amer. Math. Monthly 95 (1988), 585-608.
2. B. Berndt, "Ramanujan's Notebooks, Part III," Springer-Verlag, New York/Berlin, 1985.
3. R. W. Barnard, K. Pearce, and K. Richards, An inequality involving the generalized hypergeometric function and the arc length of an ellipse, SIAM J. Math. Anal. 32 (2000), 403-419.
4. K. Devlin, The logical structure of computer-aided mathematical reasoning, Amer. Math. Monthly 104 (1997), 632-646.
5. P. Henrici, "Applied and Computational Complex Analysis," Wiley, New York, 1974.
6. M. Vuorinen, Hypergeometric functions in geometric function theory, in "Proceedings of Special Functions and Differential Equations," (K. Srinivasa Roa, P. Jagannthan, and G. Van der Jeugy, Eds.), Allied Publishers, 1998.
7. D. Young and R. Gregory, "A Survey of Numerical Mathematics," Dover, New York, 1973.