The Ramanujan master theorem and its implications for special functions

@article{Grska2012TheRM,
  title={The Ramanujan master theorem and its implications for special functions},
  author={K. G{\'o}rska and D. Babusci and G. Dattoli and G. Duchamp and K. Penson},
  journal={Appl. Math. Comput.},
  year={2012},
  volume={218},
  pages={11466-11471}
}
  • K. Górska, D. Babusci, +2 authors K. Penson
  • Published 2012
  • Mathematics, Physics, Computer Science
  • Appl. Math. Comput.
  • 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… CONTINUE READING

    Topics from this paper.

    Operational Versus Umbral Methods and the Borel Transform
    12
    The Umbral operator and the integration involving generalized Bessel-type functions
    3
    Definite integrals and operational methods
    6

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