Inequalities for the generalized elliptic integrals and modular functions |
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| Authors: | Gendi Wang Yuming Chu |
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| Institution: | Department of Mathematics, Huzhou Teachers College, Huzhou 313000, PR China |
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| Abstract: | In this paper, the authors study monotonicity and convexity of the generalized elliptic integrals and certain combinations of these special functions, such as ma(r) and μa(r). Making use of these results, the authors obtain some sharp inequalities for the so-called Ramanujan's generalized modular functions. |
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| Keywords: | Generalized elliptic integrals Generalized Grö tzsch function Generalized modular functions |
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