Some infinite sums derived by using fractional calculus of logarithmic functions
| dc.contributor.author | Srivastava, H.M. | |
| dc.contributor.author | Nishimoto, Katsuyuki | |
| dc.date.accessioned | 2010-05-19T15:49:25Z | |
| dc.date.available | 2010-05-19T15:49:25Z | |
| dc.date.copyright | 1994 | en |
| dc.date.issued | 2010-05-19T15:49:25Z | |
| dc.description.abstract | In the remarkably vast literature on fractional calculus, there are many systematic (and historical) accounts of its applications in a number of areas including (for example) ordinary and partial differential equations, special functions, and summation of series. The object of the present note is to examine rather closely some of the most recent contributions by K. Nishimoto [2] on the use of fractional calculus of logarithmic functions in deriving numerous interesting infinite sums. Some generalizations and relevant connections with certain familiar results in the theory of the Gaussian hypergeometric function are also given. | en |
| dc.identifier.uri | http://hdl.handle.net/1828/2781 | |
| dc.language.iso | en | en |
| dc.relation.ispartofseries | DMS-693-IR | en |
| dc.subject | fractional calculus | |
| dc.subject | ordinary and partial differential equations | |
| dc.subject | special functions | |
| dc.subject | summation of series | |
| dc.subject | logarithmic functions | |
| dc.subject | Gaussian hypergeometric function | |
| dc.subject | fractional differintegrals | |
| dc.subject | generalized hypergeometric functions | |
| dc.subject | binomial expansion | |
| dc.subject | mathematical induction | |
| dc.subject | augmentation of parameters | |
| dc.subject | Laplace and inverse Laplace transforms | |
| dc.subject | technical reports (mathematics and statistics) | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Some infinite sums derived by using fractional calculus of logarithmic functions | en |
| dc.type | Technical Report | en |