TY  - JOUR
T1  - Hankel transform of linear combination of three consecutive Catalan numbers
AU  - Petković, M.d.
AU  - Bojičić, Radica
AU  - Barry, Paul
PY  - 2025
DA  - August
Y2  - 2024
DO  - 10.15672/hujms.1564485
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1470
EP  - 1478
VL  - 54
IS  - 4
LA  - en
AB  - In this paper, we consider the Hankel determinants of the linear combination of three consecutive Catalan numbers, and then three consecutive shifted Catalan numbers. For their computing, we apply known methods based on the connections between continued fractions, orthogonal polynomials and moment-determinants. The properties of orthogonal polynomials enable us to evaluate the generating function of the corresponding sequence Hankel determinants in closed form.
KW  - Catalan numbers
KW  - shifted Catalan numbers
KW  - Hankel transform
KW  - orthogonal
polynomials
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UR  - https://doi.org/10.15672/hujms.1564485
L1  - https://dergipark.org.tr/en/download/article-file/4276792
ER  -