Inequalities for the generalized elliptic integrals and modular functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:331

Article

Wang Gendi ; Zhang Xiaohui ; Chu Yuming

关键词: generalized elliptic integrals;    generalized Grotzsch function;    generalized modular functions;   

DOI  :  10.1016/j.jmaa.2006.09.070

来源: Elsevier

【 摘 要 】

In this paper, the authors study monotonicity and convexity of the generalized elliptic integrals and certain combinations of these special functions, such as m(a)(r) and mu(a)(r). Making use of these results, the authors obtain some sharp inequalities for the so-called Ramanujan's generalized modular functions. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free