4.5 Article

Landen inequalities for Gaussian hypergeometric function

出版社

SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s13398-021-01197-y

关键词

Gaussian hypergeometric function; Landen identity; Landen inequalities; Ramanujan transformation

资金

  1. National Natural Science Foundation of China [11971142]
  2. Natural Science Foundation of Zhejiang Province [LY19A010012]

向作者/读者索取更多资源

The article presents several Landen inequalities and transformation inequalities for the general Gaussian hypergeometric function F-2(1)(a, b; c; x), which are generalizations and improvements of previous known results.
In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function F-2(1)(a, b; c; x). Our obtained results are the generalizations and improvements of the previously known results.

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