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Volumn 31, Issue 3, 2000, Pages 693-699

An inequality involving the generalized hypergeometric function and the arc length of an ellipse

Author keywords

Approximations; Elliptical arc length; Hypergeometric

Indexed keywords


EID: 0041152123     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141098341575     Document Type: Article
Times cited : (78)

References (13)
  • 2
    • 0001484410 scopus 로고
    • Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi, and the ladies diary
    • G. ALMKVIST AND B. BERNDT, Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi, and the Ladies Diary, Amer. Math. Monthly, 95 (1988), pp. 585-608.
    • (1988) Amer. Math. Monthly , vol.95 , pp. 585-608
    • Almkvist, G.1    Berndt, B.2
  • 4
    • 0039451069 scopus 로고
    • A positive sum from summability theory
    • R. ASKEY, G. GASPER, AND M. ISMAIL, A positive sum from summability theory, J. Approx. Theory, 13 (1975), pp. 413-420.
    • (1975) J. Approx. Theory , vol.13 , pp. 413-420
    • Askey, R.1    Gasper, G.2    Ismail, M.3
  • 11
    • 0003363550 scopus 로고
    • Ellipitic functions and applications
    • Springer-Verlag, New York
    • D. F. LAWDEN, Ellipitic Functions and Applications, Appl. Math. Sci. 80, Springer-Verlag, New York, 1989.
    • (1989) Appl. Math. Sci. , vol.80
    • Lawden, D.F.1
  • 13
    • 5044235507 scopus 로고    scopus 로고
    • Hypergeometric functions in geometric function theory
    • K. R. Srinivasa, R. Jagannthan, and G. Van der Jeugy, eds., Allied Publishers, New Delhi
    • M. VUORINEN, Hypergeometric functions in geometric function theory, in Proceedings of the Special Functions and Differential Equations, K. R. Srinivasa, R. Jagannthan, and G. Van der Jeugy, eds., Allied Publishers, New Delhi, 1998.
    • (1998) Proceedings of the Special Functions and Differential Equations
    • Vuorinen, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.