کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
827407 908000 2016 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero
چکیده انگلیسی

In this paper the fractional order derivative of a Dirichlet series, Hurwitz zeta function and Riemann zeta function is explicitly computed using the Caputo fractional derivative in the Ortigueira sense. It is observed that the obtained results are a natural generalization of the integer order derivative. Some interesting properties of the fractional derivative of the Riemann zeta function are also investigated to show that there is a chaotic decay to zero (in the Gaussian plane) and a promising expression as a complex power series.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of King Saud University - Science - Volume 28, Issue 1, January 2016, Pages 75–81
نویسندگان
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