论双双曲古列尔莫数

Journal of Advances in Mathematics and Computer Science Pub Date : 2024-03-23 DOI:10.9734/jamcs/2024/v39i41881

Bahadır Yılmaz, Y. Soykan

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引用次数: 0

摘要

本研究介绍了广义双曲古格里莫数。探讨了各种特例（包括双曲三角数、双曲三角-卢卡斯数、双曲长方形数和双曲五边形数）。介绍了这些数的比奈公式、生成函数和求和公式。此外，还提供了加泰罗尼亚常数和卡西尼常数，以及与这些序列相关的矩阵。

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On Dual Hyperbolic Guglielmo Numbers

In this research, the generalized dual hyperbolic Guglielmo numbers are introduced. Various special cases are explored (including dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, and dual hyperbolic pentagonal numbers). Binet.s formulas, generating functions and summation formulas for these numbers are presented. Moreover, Catalan.s and Cassini.s identities are provided, along with matrices associated with these sequences.

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Journal of Advances in Mathematics and Computer Science

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