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- W3156658455 abstract "The main object of the present paper is to consider the binomial transforms for Horadam quaternion sequences. We gave new formulas for recurrence relation, generating function, Binet formula and some basic identities for the binomial sequence of Horadam quaternions. Working with Horadam quaternions, we have found the most general formula that includes all binomial transforms with recurrence relation from the second order. In the last part, we determined the recurrence relation for this new type of quaternion by working with the iterated binomial transform, which is a different type of binomial transform." @default.
- W3156658455 created "2021-04-26" @default.
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- W3156658455 date "2021-04-10" @default.
- W3156658455 modified "2023-09-24" @default.
- W3156658455 title "On the binomial transforms of the Horadam quaternion sequences" @default.
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- W3156658455 doi "https://doi.org/10.1002/mma.7325" @default.
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