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Properties of hyperbolic generalized Pell numbers
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In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan’s, Cassini’s, d’Ocagne’s, Gelin–Cesàro’s, Melham’s identities and present matrices related to these sequences.
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Title: Properties of hyperbolic generalized Pell numbers
Description:
In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers.
As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
We present Binet’s formulas, generating functions and the summation formulas for these numbers.
Moreover, we give Catalan’s, Cassini’s, d’Ocagne’s, Gelin–Cesàro’s, Melham’s identities and present matrices related to these sequences.
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