Monotonicity and convexity involving generalized elliptic integral of the first kind
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[1] H. Alzer. Inequalities for the beta function , 2014 .
[2] Orhan Tuǧ. On almost B-summable double sequence spaces , 2018, Journal of inequalities and applications.
[3] Feng Qi (祁锋),et al. Monotonicity of functions connected with the gamma function and the volume of the unit ball , 2012 .
[4] Feng Qi (祁锋). Bounds for the Ratio of Two Gamma Functions , 2009 .
[5] Matti Vuorinen,et al. Generalized elliptic integrals and modular equations , 2000 .
[6] Y. Chu,et al. Sharp bounds for generalized elliptic integrals of the first kind , 2015 .
[7] A note on inequalities for the ratio of zero-balanced hypergeometric functions , 2019, Proceedings of the American Mathematical Society, Series B.
[8] Chao-Ping Chen. Sharp inequalities and asymptotic series of a product related to the Euler–Mascheroni constant , 2016 .
[9] Y. Chu,et al. Approximation for the complete elliptic integral of the first kind , 2020 .
[10] Zhen-Hang Yang,et al. A positive answer to Bhatia—Li conjecture on the monotonicity for a new mean in its parameter , 2020 .
[11] Matti Vuorinen,et al. Some inequalitites for the growth of elliptic integrals , 1998 .
[12] Huan Wang. Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces , 2016, Journal of inequalities and applications.
[13] Matti Vuorinen,et al. Functional inequalities for hypergeometric functions and complete elliptic integrals , 1992 .
[14] Feng Qi,et al. A logarithmically completely monotonic function involving the ratio of two gamma functions and originating from the coding gain , 2013, ArXiv.
[15] Árpád Baricz,et al. Turán type inequalities for generalized complete elliptic integrals , 2007 .
[16] Jingfeng Tian,et al. Convexity and monotonicity for elliptic integrals of the first kind and applications , 2017, Applicable Analysis and Discrete Mathematics.
[17] Y. Chu,et al. A sharp double inequality involving generalized complete elliptic integral of the first kind , 2020 .
[18] Horst Alzer,et al. Some beta-function inequalities , 2003, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[19] Zhen-Hang Yang,et al. Monotonicity criterion for the quotient of power series with applications , 2015 .
[20] Chao Chen. Inequalities and asymptotic expansions for the psi function and the Euler–Mascheroni constant , 2016 .
[21] Jing-Feng Tian,et al. Sharp inequalities for the generalized elliptic integrals of the first kind , 2018, The Ramanujan Journal.
[22] Yu-Ming Chu,et al. On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind , 2018, Journal of Mathematical Analysis and Applications.
[23] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .
[24] S. Qiu,et al. Monotonicity properties and inequalities for the generalized elliptic integral of the first kind , 2019, Journal of Mathematical Analysis and Applications.
[25] Tie-hong Zhao,et al. Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function , 2020 .
[26] P. Shiu,et al. PI AND THE AGM A Study in Analytic Number Theory and Computational Complexity (Canadian Mathematical Society Series of Monographs and Advanced Texts) , 1988 .
[27] Jackson B. Lackey,et al. Errata: Handbook of mathematical functions with formulas, graphs, and mathematical tables (Superintendent of Documents, U. S. Government Printing Office, Washington, D. C., 1964) by Milton Abramowitz and Irene A. Stegun , 1977 .
[28] Jing-Feng Tian,et al. Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function , 2019, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.