Triple product sums of Catalan triangle numbers
DOI:
https://doi.org/10.11575/cdm.v15i2.62472Abstract
By means of quadratic transformations for the well-poised hypergeometric series, several reduction and transformation formulae are derived for the triple product sums of Catalan triangle numbers. One of them confirms a conjecture made recently by Miana, Ohtsuka and Romero [18, 2017].
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