Two inequalities for the associated Pollaczek polynomials

Journal of inequalities and applications

article

Min-Jie Luo¹  Ravinder Krishna Raina³ 

[1] Department of Mathematics, Donghua University;Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University;M.P. University of Agriculture and Technology

关键词: Inequality;    Laguerre polynomial;    Pollaczek polynomial;   

DOI  :  10.1186/s13660-020-2282-5

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971) on orthogonal expansions with positive coefficients. The second one is proved by using a triple integral representation due to the authors (Integral Transforms Spec. Funct. 30:893–919, 2019). In the concluding section, we briefly point out some useful variations and known cases of our inequalities.

【 授权许可】

CC BY