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Laguerre-Type Exponentials, Laguerre Derivatives and Applications. A Survey

Author

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  • Paolo Emilio Ricci

    (Department of Mathematics, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy)

Abstract

Laguerrian derivatives and related autofunctions are presented that allow building new special functions determined by the action of a differential isomorphism within the space of analytical functions. Such isomorphism can be iterated every time, so that the resulting construction can be re-submitted endlessly in a cyclic way. Some applications of this theory are made in the field of population dynamics and in the solution of Cauchy’s problems for particular linear dynamical systems.

Suggested Citation

  • Paolo Emilio Ricci, 2020. "Laguerre-Type Exponentials, Laguerre Derivatives and Applications. A Survey," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2054-:d:446742
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    References listed on IDEAS

    as
    1. P. Natalini & P. E. Ricci, 2006. "Laguerre-type Bell polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-7, August.
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    Cited by:

    1. Paolo Emilio Ricci & Rekha Srivastava, 2022. "A Note on the Laguerre-Type Appell and Hypergeometric Polynomials," Mathematics, MDPI, vol. 10(11), pages 1-11, June.

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