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Zeros distribution and interlacing property for certain polynomial sequences
Open MathematicsIn this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. [PDF]
Res Number Theory, 2023 Mukherjee G.
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Log-convexity and the overpartition function. [PDF]
Ramanujan J, 2023 Mukherjee G.
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New inequalities for p(n) and logp(n). [PDF]
Ramanujan J, 2023 Banerjee K, Paule P, Radu CS, Zeng W.
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Gromov hyperbolicity of planar graphs
Open Mathematics, 2013 Cantón Alicia +3 more
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Skew log-concavity of the Boros-Moll sequences. [PDF]
J Inequal Appl, 2017 Liu EH.
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On a ratio monotonicity conjecture of a new kind of numbers. [PDF]
J Inequal Appl, 2018 Sun BY.
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Two explicit formulas for the generalized Motzkin numbers. [PDF]
J Inequal Appl, 2017 Zhao JL, Qi F.
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Some properties of the Catalan-Qi function related to the Catalan numbers. [PDF]
Springerplus, 2016 Qi F, Mahmoud M, Shi XT, Liu FF.
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