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

Author

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  • Moussa Ahmia

    (University of Mohamed Seddik Ben Yahia
    USTHB, RECITS Laboratory)

  • Hacène Belbachir

    (USTHB, RECITS Laboratory)

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 $${y_n} = {\sum\nolimits_{k = 0}^n {\left[ {\frac{n}{k}} \right]} _{pq}}{x_k}$$ y n = ∑ k = 0 n [ n k ] p q x k so is it for q ≠ p ≥ 1.

Suggested Citation

  • Moussa Ahmia & Hacène Belbachir, 2018. "p, q-Analogue of a linear transformation preserving log-convexity," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(3), pages 549-557, September.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:3:d:10.1007_s13226-018-0284-5
    DOI: 10.1007/s13226-018-0284-5
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    Cited by:

    1. Åhag, P. & Czyż, R. & Lundow, P.H., 2024. "On a generalised Lambert W branch transition function arising from p,q-binomial coefficients," Applied Mathematics and Computation, Elsevier, vol. 462(C).

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