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p, q-Analogue of a linear transformation preserving log-convexity

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Abstract

In this paper, we establish the preserving log-convexity of linear transformation associated with p, q-analogue of Pascal triangle, i.e., if the sequence of nonnegative numbers {xn}n is logconvex, then \({y_n} = {\sum\nolimits_{k = 0}^n {\left[ {\frac{n}{k}} \right]} _{pq}}{x_k}\) so is it for qp ≥ 1.

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Correspondence to Moussa Ahmia.

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Ahmia, M., Belbachir, H. p, q-Analogue of a linear transformation preserving log-convexity. Indian J Pure Appl Math 49, 549–557 (2018). https://doi.org/10.1007/s13226-018-0284-5

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  • DOI: https://doi.org/10.1007/s13226-018-0284-5

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