Name
Abstract | ||
|---|---|---|
We study a number of possible extensions of the Ramanujan master theorem, which is formulated here by using methods of Umbral nature. We discuss the implications of the procedure for the theory of special functions, like the derivation of formulae concerning the integrals of products of families of Bessel functions and the successive derivatives of Bessel type functions. We stress also that the procedure we propose allows a unified treatment of many problems appearing in applications, which can formally be reduced to the evaluation of exponential- or Gaussian-like integrals. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.05.036 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Ramanujan master theorem,Special functions,Bessel functions,Integration methods,Umbral methods | Bessel polynomials,Ramanujan's sum,Algebra,Mathematical analysis,Struve function,Special functions,Bessel process,Master theorem,Ramanujan's master theorem,Mathematics,Bessel function | Journal |
Volume | Issue | ISSN |
218 | 23 | 0096-3003 |
Citations | PageRank | References |
4 | 0.93 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. Górska | 1 | 8 | 2.47 |
| D. Babusci | 2 | 8 | 3.82 |
| Giuseppe Dattoli | 3 | 17 | 5.20 |
| Gérard Henry Edmond Duchamp | 4 | 38 | 16.19 |
| Karol A. Penson | 5 | 22 | 8.39 |