A note on the hypergeometric mean value
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Publication:1848418
DOI10.1007/BF03320978zbMath1009.33005MaRDI QIDQ1848418
Roger W. Barnard, Kendall C. Richards
Publication date: 7 April 2003
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Classical hypergeometric functions, ({}_2F_1) (33C05) Miscellaneous topics in real functions (26E99)
Related Items (5)
Weighted hypergeometric functions and fractional derivative ⋮ A note on inequalities for the ratio of zero-balanced hypergeometric functions ⋮ On Euler products with smaller than one exponents ⋮ Sharp power mean bounds for the Gaussian hypergeometric function ⋮ On sharp bounds for ratios of 𝑘-balanced hypergeometric functions
Cites Work
- A positive sum from summability theory
- Inequalities for compound mean iterations with logarithmic asymptotes
- Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
- A Monotonicity Property Involving 3F2 and Comparisons of the Classical Approximations of Elliptical Arc Length
- An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
- Some Inequalities for Hypergeometric Functions
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