New properties for the Ramanujan <i>R</i>-function-Reference-Cited by-同舟云学术

New properties for the Ramanujan R-function

Published:2022-01-01 Issue:1 Volume:20 Page:724-742
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Cai Chuan-Yu¹,Chen Lu²,Huang Ti-Ren³,Chu Yuming⁴⁵

Affiliation:

1. Zhejiang Technical Institute of Economics , Hangzhou 310018 , P. R. China

2. Wuxi Vocational Institute of Commerce , Wuxi 214153 , P. R. China

3. Department of Mathematics, Zhejiang Sci-Tech University , Hangzhou 310018 , P. R. China

4. Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University , Hangzhou 311121 , P. R. China

5. Department of Mathematics, Huzhou University , Huzhou 313000 , P. R. China

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0045/pdf

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