{ "id": "1505.07134", "version": "v1", "published": "2015-05-19T00:57:11.000Z", "updated": "2015-05-19T00:57:11.000Z", "title": "New Laplace transforms for the generalized hypergeometric functions 2F2 and 3F3", "authors": [ "Xiaoxia Wang", "Arjun K. Rathie" ], "comment": "8 pages; 0 figure", "categories": [ "math.CA", "math.CO" ], "abstract": "Motivated by the new Laplace transforms for the Kummer's confluent hypergeometric functions $_1F_1$ obtained recently by Kim et al. [Math $\\&$ Comput. Modelling, 55 (2012), pp. 1068--1071], the authors aim is to establish so far unknown Laplace transforms of rather general case of generalized hypergeometric functions $_2F_2(x)$ and $_3F_3(x)$ by employing extensions of classical summation theorems for the series $_2F_1$ and $_3F_2$ obtained recently by Kim et al. [Int. J. Math. Math. Sci., 309503, 26 pages, 2010]. Certain known results obtained earlier by Kim et al. follow cases of our main findings.", "revisions": [ { "version": "v1", "updated": "2015-05-19T00:57:11.000Z" } ], "analyses": { "keywords": [ "generalized hypergeometric functions 2f2", "far unknown laplace transforms", "kummers confluent hypergeometric functions", "authors aim" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150507134W" } } }