New properties for the Ramanujan R-function
Copyright policy )New properties for the Ramanujan R-function
Abstract In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds for the Ramanujan R-function that improve some previously known results.
- Wuxi Vocational Institute of Commerce China (People's Republic of)
- Huzhou University China (People's Republic of)
- Hangzhou Normal University China (People's Republic of)
- Zhejiang Sci-Tech University China (People's Republic of)
- Zhejiang Technical Institute of Economics China (People's Republic of)
gaussian hypergeometric function, Other analytical inequalities, convexity, riemann zeta function, 33b15, 33c05, monotonicity, Convexity of real functions in one variable, generalizations, ramanujan r-function, Classical hypergeometric functions, \({}_2F_1\), Ramanujan \(R\)-function, QA1-939, 26a51, Gaussian hypergeometric function, generalized elliptic integral, Riemann zeta function, 26d20, Gamma, beta and polygamma functions, Mathematics
gaussian hypergeometric function, Other analytical inequalities, convexity, riemann zeta function, 33b15, 33c05, monotonicity, Convexity of real functions in one variable, generalizations, ramanujan r-function, Classical hypergeometric functions, \({}_2F_1\), Ramanujan \(R\)-function, QA1-939, 26a51, Gaussian hypergeometric function, generalized elliptic integral, Riemann zeta function, 26d20, Gamma, beta and polygamma functions, Mathematics
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