کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629266 | 1340576 | 2013 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The generalized Touchard polynomials revisited
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The generalized Touchard polynomials revisited The generalized Touchard polynomials revisited](/preview/png/4629266.png)
چکیده انگلیسی
We discuss the generalized Touchard polynomials introduced recently by Dattoli et al. as well as their extension to negative order introduced by the authors with operational methods. The connection to generalized Stirling and Bell numbers is elucidated and analogs to Burchnall’s identity are derived. A recursion relation for the generalized Touchard polynomials is established and it is shown that one can interpret some of the resulting formulas as binomial theorems for particular noncommuting variables. We suggest to generalize the generalized Touchard polynomials still further and introduce so called Comtet–Touchard functions which are associated to the powers of an arbitrary derivation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 19, 1 June 2013, Pages 9978–9991
Journal: Applied Mathematics and Computation - Volume 219, Issue 19, 1 June 2013, Pages 9978–9991
نویسندگان
Toufik Mansour, Matthias Schork,