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Landen type inequalities for generalized elliptic integrals

LI YIN|LU-FANG MI
장전수학회 (Jangjeon Mathematical Society)|2016.10|Advanced Studies in Contemporary Mathematics|제26권 제4호|pp. 717-722

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키워드

hypergeometric functionLanden type inequalitiesgeneralized elliptic integrals
주제분류수학

초록

In this paper, the authors present some Landen type inequalities for generalized elliptic integrals and (p, q)- elliptic integrals. Our main results generalize some known results in the literature.

Abstract

In this paper, the authors present some Landen type inequalities for generalized elliptic integrals and (p, q)- elliptic integrals. Our main results generalize some known results in the literature.

참고문헌 (19)

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  12. S.-L. Qiu, "Landen inequalities for hypergeometric functions", Nagoya Math. J, 154, pp.31~56 (1999)
  13. S. Ramanujan, "collected papers", pp.4~ (1962)
  14. S. Simic, "Landen inequalities for zero-balanced hypergeometric functions", Abstr. Appl. Anal, 2012, pp.5~ (2012)
  15. G. -D.Wang, "Inequalities for the generalized elliptic integrals and modular equations", J. Math. Anal. Appl, 331(2), pp.1275~1283 (2007)
  16. S. Takeuchi, "Generalized Jacobian elliptic functions and their application to bifurcation prob-lems associated with p-Laplacian", J. Math. Anal. Appl, 385, pp.24~35 (2012)
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