Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants

Rajkovic, Predrag M., Barry, Paul, and Savic, Natasa. "Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants." Mathematica Balkanica New Series 26.1-2 (2012): 219-228. <http://eudml.org/doc/281445>.

@article{Rajkovic2012,
abstract = {MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.},
author = {Rajkovic, Predrag M., Barry, Paul, Savic, Natasa},
journal = {Mathematica Balkanica New Series},
keywords = {special numbers; determinants; polynomials; recurrence relations; special numbers in an integral form; Hankel transform; Hankel determinant; orthogonal polynomials},
language = {eng},
number = {1-2},
pages = {219-228},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants},
url = {http://eudml.org/doc/281445},
volume = {26},
year = {2012},
}

TY - JOUR
AU - Rajkovic, Predrag M.
AU - Barry, Paul
AU - Savic, Natasa
TI - Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants
JO - Mathematica Balkanica New Series
PY - 2012
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 26
IS - 1-2
SP - 219
EP - 228
AB - MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
LA - eng
KW - special numbers; determinants; polynomials; recurrence relations; special numbers in an integral form; Hankel transform; Hankel determinant; orthogonal polynomials
UR - http://eudml.org/doc/281445
ER -