کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633217 | 1340664 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions](/preview/png/4633217.png)
چکیده انگلیسی
If a power series is raised to a power, the coefficients of the new power series are called the partial Bell polynomials. They are useful for obtaining the inverse power series, iterations (possibly fractional) of the original power series, logs and exponents of power series, the derivatives of a composite function, and for solving various problems in partition theory. Multivariate versions of these diverse and useful results are given in terms of multivariate Bell polynomials, introduced here for the first time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 206, Issue 2, 15 December 2008, Pages 997–1004
Journal: Applied Mathematics and Computation - Volume 206, Issue 2, 15 December 2008, Pages 997–1004
نویسندگان
Christopher S. Withers, Saralees Nadarajah,