کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773748 1631392 2017 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representations of hypergeometric functions for arbitrary parameter values and their use
ترجمه فارسی عنوان
تظاهرات توابع پراگماتیک برای مقادیر پارامترهای دلخواه و استفاده از آنها
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known representations to arbitrary values of the parameters and show that the extended representations can be interpreted as examples of regularizations of integrals containing Meijer's G function. Second, we give new applications of both, known and extended representations. These include: inverse factorial series expansion for the Gauss type function, new information about zeros of the Bessel and Kummer type functions, connection with radial positive definite functions and generalizations of Luke's inequalities for the Kummer and Gauss type functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 218, June 2017, Pages 42-70
نویسندگان
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