Remarks on ramanujan function Aq (Z)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:338

Article

Zhang, Ruiming¹ 

[1] Guangxi Normal Univ, Sch Math, Guangxi 541004, Peoples R China

关键词: q-orthogonal polynomials;    q-airy function;    Ramanujan's entire function;    q(-1)-Hennite polynomials;    Stieltjes-Wigert polynomials;    Plancherel-Rotach asymptotics Scaling;    inequalities;    definite integrals;   

DOI  :  10.1016/j.jmaa.2007.05.007

来源: Elsevier

【 摘 要 】

In this short notes we will derive an inequality for scaled q(-1)-Hermite orthogonal polynomials of Ismail and Masson, an inequality for scaled Stieltjes-Wigert, two inequalities for Ramanujan function and two definite integrals for Ramanujan function. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free