Abstract
We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute thenth Laguerre-type derivatives of a composite function. Incidentally, we generalize a result considered by L. Carlitz in order to obtain explicit relationships between Bessel functions and generalized hypergeometric functions.
Subject
Mathematics (miscellaneous)
Cited by
3 articles.
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1. Laguerre-Type Exponentials, Laguerre Derivatives and Applications. A Survey;Mathematics;2020-11-18
2. Bibliography;Commutation Relations, Normal Ordering, and Stirling Numbers;2015-08-20
3. On Generalized Hypercomplex Laguerre-Type Exponentials and Applications;Computational Science and Its Applications - ICCSA 2011;2011