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- W3089360613 abstract "In this paper, we introduce a operator in order to derive some new symmetric properties of (p,q)-modified Pell numbers and we give some new generating functions of the products of (p,q)-modified Pell numbers with k-Fibonacci and k-Lucas numbers, k-Pell and k-Pell Lucas numbers, k-Jacobsthal and k-Jacobsthal Lucas numbers at positive and negative indices. By making use of the operator defined in this paper, we give some new generating functions of the products of (p,q)-modified Pell numbers with k-balancing and k-Lucas-balancing numbers." @default.
- W3089360613 created "2020-10-08" @default.
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- W3089360613 date "2020-09-30" @default.
- W3089360613 modified "2023-09-28" @default.
- W3089360613 title "ORDINARY GENERATING FUNCTIONS OF BINARY PRODUCTS OF (p,q)-MODIFIED PELL NUMBERS AND k-NUMBERS AT POSITIVE AND NEGATIVE INDICES" @default.
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- W3089360613 doi "https://doi.org/10.46939/j.sci.arts-20.3-a11" @default.
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