This study provides a broad overview of the generalization of the various quaternions,especially in the context of its enhancing importance in the disciplines of mathematics and physics. By the help of bicomplex ...

The purpose of this paper is to provide a broad overview of thegeneralization of the various dual-complex number sequences, especially inthe disciplines of mathematics and physics. By the help of dual numbers and dual-complex ...

Kuantum analizi, sayı teorisi, fizik ve matematik gibi birçok alanda önemli bir yere sahiptir. Bu çalışmada, kuantum analizinden bazı yararlı gösterimler alarak, iki periyotlu Fibonacci ve Lucas sedenyonlarını bir ...

In recent years, many researchers have studied hyperbolic Fibonacci functions and some special polynomials, which are important areas of mathematics. In this study, we give an extension of the Euler polynomials in order ...

Complex numbers, hyperbolic numbers, and dual numbers are well-known number systems in the literature. The hybrid numbers, which have significantly increased interest in recent years, are the generalization of complex ...

Quantum calculus has an important areas in many areas such as number theory, physics and mathematics. In this paper, by taking some useful notations from quantum calculus, we define the biperiodic Fibonacci and Lucas ...

Understanding the properties and applications of bihyperbolic polynomials sheds light on many mathematical problems. For this reason, bihyperbolic polynomials can play an important role in various fields of mathematics. ...

Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they are widely used in mathematics, engineering and other disciplines. Hyperbolic functions are frequently observed in the ...