کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774875 1413569 2017 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Monotonicity and functional inequalities for the complete p-elliptic integrals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Monotonicity and functional inequalities for the complete p-elliptic integrals
چکیده انگلیسی
Takeuchi's generalized complete elliptic integrals related to generalized trigonometric functions are of importance in the computation of the generalized pi and in the elementary proof of Ramanujan's cubic transformation. In this paper we generalize some well-known results of the classical complete elliptic integrals to the case of Takeuchi's generalized complete elliptic integrals. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 2, 15 September 2017, Pages 942-953
نویسندگان
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