D. Karp

activity

20062018

most citedLog-convexity and log-concavity for series in gamma ratios and applications

1 citations · 1 across the 3 of their papers we have counts for

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math.CA2018

Inequalities for some basic hypergeometric functions

S. I. Kalmykov, D. B. Karp

We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric function with respect simultaneous shi…

math.CA2012★ 1 cited

Log-convexity and log-concavity for series in gamma ratios and applications

S. I. Kalmykov, D. B. Karp

Polynomial sequence $P_{m}_{m \geq 0}$ is $q$ -logarithmically concave if $P_{m}^{2} - P_{m + 1} P_{m - 1}$ is a polynomial with nonnegative coefficients for any $m \geq 1$ . We introduce an an…