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- W3112451895 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 dierent type of binomial transform." @default.
- W3112451895 created "2020-12-21" @default.
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- W3112451895 date "2020-12-08" @default.
- W3112451895 modified "2023-09-29" @default.
- W3112451895 title "ON THE BINOMIAL TRANSFORMS OF THE HORADAM QUATERNION SEQUENCES" @default.
- W3112451895 doi "https://doi.org/10.22541/au.160743179.90770528/v1" @default.
- W3112451895 hasPublicationYear "2020" @default.
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