Back to Search
Start Over
Generalized Volterra functions, its integral representations and applications to the Mathieu-type series.
- Source :
-
Applied Mathematics & Computation . Apr2019, Vol. 347, p578-589. 12p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox–Wright H-functions and Meijer G-functions. From positivity conditions on the weight in these representations, we found sufficient conditions on parameters of the generalized Volterra function to prove its complete monotonicity. As applications, a Turán type inequality for generalized Volterra functions is derived, infinite integral of some special functions are expressed in terms of the generalized Volterra functions and closed-form integral representations for a family of convergent Mathieu-type series defined in terms of generalized Volterra functions are established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 347
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 133664933
- Full Text :
- https://doi.org/10.1016/j.amc.2018.11.004