کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473300 698785 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher-order tangent and secant numbers
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Higher-order tangent and secant numbers
چکیده انگلیسی

In this paper, the higher-order tangent numbers and higher-order secant numbers, {T(n,k)}n,k=0∞ and {S(n,k)}n,k=0∞, have been studied in detail. Several known results regarding T(n,k)T(n,k) and S(n,k)S(n,k) have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In particular, it is shown that the higher-order tangent numbers T(n,k)T(n,k) constitute a special class of the partial multivariate Bell polynomials and that S(n,k)S(n,k) can be computed from the knowledge of T(n,k)T(n,k). In addition, a simple explicit formula involving a double finite sum is deduced for the numbers T(n,k)T(n,k) and it is shown that T(n,k)T(n,k) are linear combinations of the classical tangent numbers TnTn.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 4, August 2011, Pages 1879–1886
نویسندگان
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