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Title: On an hypercomplex generalization of Gould-Hopper and related Chebyshev polynomials
Author: Cação, Isabel
Malonek, Helmuth Robert
Keywords: Hypercomplex function theory
Exponential operators
Generalized Hermite polynomials
Chebyshev polynomials
Issue Date: 2011
Publisher: Springer Berlin Heidelberg
Abstract: An operational approach introduced by Gould and Hopper to the construction of generalized Hermite polynomials is followed in the hypercomplex context to build multidimensional generalized Hermite polynomials by the consideration of an appropriate basic set of monogenic polynomials. Directly related functions, like Chebyshev polynomials of first and second kind are constructed.
Peer review: yes
DOI: 10.1007/978-3-642-21931-3_25
ISBN: 978-3-642-21930-6
ISSN: 0302-9743
Appears in Collections:CIDMA - Comunicações

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