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  • 标题:A class of orthogonal polynomials of a new type
  • 本地全文:下载
  • 作者:M. Dutta ; Kanchan Prabha Manocha
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1983
  • 卷号:6
  • 期号:1
  • 页码:171-180
  • DOI:10.1155/S0161171283000150
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The purpose of this paper is to study a class of polynomials F n m ( x , λ , ν ) associated with a class of m differential equations, where λ is fixed, n is a variable parameter, m is fixed positive integer and ν is a non-negative integer < m . We also obtain all the important properties of this class of polynomials including Rodrigues' formulas, generating function, and recurrence relations. Several special cases of interest are obtained from our analysis.

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