In this paper, we define generalized Gaussian Padovan numbers, generalized Gaussian
Padovan polynomials and generalized trivariate Fibonacci polynomials, we present the new …

Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials Page 1 245 Notes on
Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Vol …

This paper studies the properties of Generalized Vieta Pell Functions (GVPFs). Then new
definition for such functions is considered with some interesting properties. The definite …

This work presents a novel approach by considering the hyperbolic integro-differential
equation as time fractional and multi-term, employing the generalized Caputo derivative in a …

In this paper, we introduce a new type of the Vieta polynomial, which is Vieta–Fibonacci-like
polynomial. After that, we establish the Binet formula, the generating function, the well …

In this paper, we first derive some new generating functions of the products of (p, q) numbers
with symmetric functions in several variables. Subsequently, we present new generating …

ABSTRACT In this paper, Veita-Pell polynomials (VPPs) are first presented with some
interesting properties. These properties are utilized to construct a general explicit formula of …

The orthogonal polynomial basis functions are used to solve different mathematical
problems, especially for optimal control and many other engineering problems, which attract …

This study is focused on the development of a new generalized version of four known types
of Chebyshev polynomials. We come up with four different kind of generalized Chebyshev …