On the (<i>p</i>, <i>q</i>)–Chebyshev Polynomials and Related Polynomials
oleh: Can Kızılateş, Naim Tuğlu, Bayram Çekim
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2019-02-01 |
Deskripsi
In this paper, we introduce <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>⁻Chebyshev polynomials of the first and second kind that reduces the <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>⁻Fibonacci and the <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>p</mi> <mo>,</mo> <mi>q</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>⁻Lucas polynomials. These polynomials have explicit forms and generating functions are given. Then, derivative properties between these first and second kind polynomials, determinant representations, multilateral and multilinear generating functions are derived.