Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 30, Issue 5, Pages 383-399Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652469.2019.1573423
Keywords
Classical orthogonal polynomials; differential operators; Appell polynomial sequences; two-orthogonal polynomials
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Funding
- CMUP - FCT (Portugal) [UID/MAT/00144/2013]
- national (MEC)
- European structural funds (FEDER), under the partnership agreement PT2020
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We present a generic operator J defined on the vectorial space of polynomial functions and we address the problem of finding the polynomial sequences that coincide with the (normalized) J-image of themselves. The technique developed assembles different types of operators and initiates with a transposition of the problem to the dual space. We provide examples for a J limited to three terms.
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