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Landen inequalities for Gaussian hypergeometric function

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function \(_2F_1(a,b;c;x)\). Our obtained results are the generalizations and improvements of the previously known results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11971142) and the Natural Science Foundation of Zhejiang Province (LY19A010012).

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China

    Tie-Hong Zhao & Guo-Jing Hai

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, China

    Miao-Kun Wang & Yu-Ming Chu

  3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 413000, China

    Yu-Ming Chu

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  1. Tie-Hong Zhao
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  2. Miao-Kun Wang
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  3. Guo-Jing Hai
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  4. Yu-Ming Chu
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Correspondence to Yu-Ming Chu.

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Zhao, TH., Wang, MK., Hai, GJ. et al. Landen inequalities for Gaussian hypergeometric function. RACSAM 116, 53 (2022). https://doi.org/10.1007/s13398-021-01197-y

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  • DOI: https://doi.org/10.1007/s13398-021-01197-y

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