[1] Anderson G D, Qiu S-L, Vamanamurthy M K, Vuorinen M. Generalized elliptic integrals and modular equations. Pacific J Math, 2000, 192(1): 1–37

[2] Anderson G D, Qiu S-L, Vuorinen M. Modular equations and distortion functions. Ramanujan J, 2009, 18(2): 147–169

[3] Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Mappings. New York: John Wiley & Sons, 1997

[4] Anderson G D, Vamanamurthy M K, Vuorinen M. Distortion functions for plane quasiconformal mappings. Israel J Math, 1988, 62(1): 1-16

[5] Berndt B C, Bhargave S, Garvan F G. Ramanujan’s theories of elliptic functions to alternative bases. Trans Amer Math Soc, 1995, 347(11): 4163–4244

[6] Guo B-N, Qi F. Some bounds for the complete elliptic integrals of the first and second kinds. Math Inequal Appl, 2011, 14(2): 323–334

[7] Ma X-Y, Wang M-K, Zhong G-H, Qiu S-L, Chu Y-M. Some inequalities for the generalized distortion functions. Math Inequal Appl, 2012, 12(4): 941–954

[8] Ma X-Y, Qiu S-L, Zhong G-H, Chu Y-M. Some inequalities for the generalized Linear distortion function. Appl Math J Chinese Univ, 2012, 27(1): 87–93

[9] Martin G J. The distortion theorem for quasiconformal mappings, Schottky’s theorem and holomorphic motions. Proc Amer Math Soc, 1997, 125(4): 1095–1103

[10] Qiu S-L. Agard’s -distortion function and Schottky’s theorem. Sci China Ser A, 1997, 40(1): 1–9

[11] Qiu S-L, Vamanamurthy M K, Vuorinen M. Bounds for quasiconformal distortion functions. J Math Anal Appl, 1997, 205(1): 43–64

[12] Qiu S-L, Vamanamurthy M K, Vuorinen M. Some inequalities for the Hersch-Pfluger distortion function. J Inequal Appl, 1999, 4(2): 115–139

[13] Qiu S-L, Vuorinen M. Quasimultiplicative properties for the η-distortion function. Complex Variables Theory Appl, 1995, 30(1): 77–96

[14] Qiu S-L, Vuorinen M. Special functions in geometric function Theory//Handbook of Complex Analysis: Geometric Function Theory. Vol 2. Amsterdam: Elsevier B V, 2005: 621–659

[15] Qiu S-L, Zhao Y-H. Some properties of generalized eliptic integrals. Journal of Hangzhou Institute of Electronic Engineering, 2004, 24: 1–7

[16] Vuorinen M. Conformal Geometry and Quasiregular Mappings. Berlin: Springer-Verlag, 1988

[17] Vuorinen M. Singular values, Ramanujan modular equations, and Landen transformations. Studia Math, 1996, 121(3): 221–230

[18] Wang G-D, Zhang X-H, Chu Y-M, Qiu S-L. Complete elliptic integrals and the Hersch-Pfluger distortion function. Acta Math Sci, 2008, 28A(4): 731–734

[19] Wang G-D, Zhang X-H, Chu Y-M. A H¨older mean inequality for the Hersch-Pfluger distortion function. Sci Sin Math, 2010, 8: 783–786

[20] Wang M-K, Qiu S-L, Chu Y-M, Jiang Y-P, Generalized Hersch-Pfluger distortion function and complete elliptic integrals. J Math Anal Appl, 2012, 385(1): 221–229

[21] Zhang X-H, Wang G-D, Chu Y-M, Qiu S-L. Monotonicity and inequalities for the generalized η-distortion function. Chinese Ann Math, 2007, 28A(1): 183–190