Quadratic transformation inequalities for Gaussian hypergeometric function

Author:

Zhao Tie-Hong,Wang Miao-Kun,Zhang Wen,Chu Yu-Ming

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference50 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. Dover, New York (1965). Available online at http://people.math.sfu.ca/~cbm/aands/

2. Anderson, G.D., Qiu, S.-L., Vamanamurthy, M.K., Vuorinen, M.: Generalized elliptic integrals and modular equations. Pac. J. Math. 192(1), 1–37 (2000). Available online at https://msp.org/pjm/2000/192-1/pjm-v192-n1-p01-s.pdf

3. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Hypergeometric functions and elliptic integrals. In: Srivastava, H.M., Owa, S. (eds.) Current Topics in Analytic Function Theory, pp. 48–85. World Scientific, Singapore (1992). https://doi.org/10.1142/1628 .

4. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Conformal Invariants, Inequalities, and Quasiconformal Maps. John Wiley & Sons, New York (1997). Available online at https://www.isbns.net/isbn/9780471594864/

5. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Topics in special functions, in papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Report. Univ. Jyväskylä 83, 5–26 (2001). Available online at http://cn.arxiv.org/abs/0712.3856

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