文章基本信息

标题：The Hermite polynomials and the Bessel functions from a general point of view
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作者：G. Dattoli ; H. M. Srivastava ; D. Sacchetti 等
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：2003
卷号：2003
DOI：10.1155/S0161171203211133
出版社：Hindawi Publishing Corporation
摘要：We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.