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math.NT2024
Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients
Johann Cigler
We obtain formulas for the coefficients of positive and negative powers of a partial theta function.
math.CO2024
Hankel determinants of backward shifts of the coefficients of a partial theta function
Johann Cigler
We study some polynomials which are related to Hankel determinants of backward shifts of the coefficients of a partial theta function. In this version an appendix is added which gi…
math.CO2024
Some remarks about Hankel determinants which are related to Catalan-like numbers
Johann Cigler
This note presents some results about Hankel determinants of backwards shifted Catalan-like numbers and related sequences.
math.CO2024
Hankel determinants of convolution powers of Catalan numbers revisited
Johann Cigler
Using a slightly generalized result of George Andrews and Jet Wimp this note gives a simple computational proof of some Hankel determinants of backwards shifts of convolution power…