Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Khan, Subuhi¹  Raza, Nusrat¹ 

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

关键词: Sheffer polynomials;    Laguerre-Sheffer polynomials;    Laguerre-Appell polynomials;    Monomiality principle;    Operational methods;   

DOI  :  10.1016/j.jmaa.2011.08.064

来源: Elsevier

【 摘 要 】

In this paper, the Laguerre-Sheffer polynomials are introduced by using the monomiality principle formalism and operational methods. The generating function for the Laguerre-Sheffer polynomials is derived and a correspondence between these polynomials and the Sheffer polynomials is established. Further, differential equation, recurrence relations and other properties for the Laguerre-Sheffer polynomials are established. Some concluding remarks are also given. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free