The Laguerre inequality and determinantal inequality for the broken k-diamond partition function

Author:

Yang Eve Y. Y.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference40 articles.

1. Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, $$10$$th printing. United States Department of Commerce, National Bureau of Standards, Gaithersburg (1972)

2. Andrews, G.E., Paule, P.: Macmahon’s partition analysis XI: broken diamonds and modular forms. Acta Arith. 126(3), 281–294 (2007)

3. Banerjee, K.: Inequalities for the modified Bessel function of first kind of non-negative order. J. Math. Anal. Appl. 524(1), 127082 (2023)

4. Cardon, D.A., Rich, A.: Turán inequalities and subtraction-free expressions. JIPAM. J. Inequal. Pure Appl. Math. 9(4), 91 (2008)

5. Chan, S.H.: Some congruences for Andrews–Paule’s broken $$2$$-diamond partitions. Discret. Math. 308(23), 5735–5741 (2008)

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