کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
501665 863616 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new approach to the epsilon expansion of generalized hypergeometric functions
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
A new approach to the epsilon expansion of generalized hypergeometric functions
چکیده انگلیسی

Assuming that the parameters of a generalized hypergeometric function depend linearly on a small variable εε, the successive derivatives of the function with respect to that small variable are evaluated at ε=0ε=0 to obtain the coefficients of the εε-expansion of the function. The procedure, which is quite naive, benefits from simple explicit expressions of the derivatives, to any order, of the Pochhammer and reciprocal Pochhammer symbols with respect to their argument. The algorithm may be used algebraically, irrespective of the values of the parameters. It reproduces the exact results obtained by other authors in cases of especially simple parameters. Implemented numerically, the procedure improves considerably, for higher orders in εε, the numerical expansions given by other methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 185, Issue 2, February 2014, Pages 472–478
نویسندگان
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