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 to obtain the correlation between the hyperbolic Fibonacci functions and Euler polynomials. We define symmetrical Fibonacci sine and symmetrical Fibonacci cosine functions for some special Euler polynomials. Moreover, we derive new identities for these types of symmetrical Fibonacci functions by using analytical techniques
In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomial...
Motivated mainly by a variety of applications of Euler's Beta, hypergeometric, and confluent hyperge...
We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Euler...
Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they ...
Properties of two Fibonacci-type polynomials are considered here. One is based on an extension of th...
The goal of this study is to develop some new connection formulae between two generalized classes of...
The Fibonacci sequence and Fibonacci polynomials are famous for possessing wonderful and amazing pro...
In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symme...
Based on the method of generating functions of the sequence of Fibonacci $k$-step and Lucas $k$-step...
AbstractUsing the finite difference calculus and differentiation, we obtain several new identities f...
In this paper, we introduce a new operator in order to derive some new symmetric properties of Fibon...
This paper is the extended form of the talk entitled ”On the Hyperbolic Fibonacci Matrix Functions” ...
Abstract: In this paper, we calculate the generating functions by using the concepts of symmetric fu...
Here presented is the interrelationship between Eulerian polynomials, Eulerian fractions and Euler-F...
The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibo...
In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomial...
Motivated mainly by a variety of applications of Euler's Beta, hypergeometric, and confluent hyperge...
We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Euler...
Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they ...
Properties of two Fibonacci-type polynomials are considered here. One is based on an extension of th...
The goal of this study is to develop some new connection formulae between two generalized classes of...
The Fibonacci sequence and Fibonacci polynomials are famous for possessing wonderful and amazing pro...
In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symme...
Based on the method of generating functions of the sequence of Fibonacci $k$-step and Lucas $k$-step...
AbstractUsing the finite difference calculus and differentiation, we obtain several new identities f...
In this paper, we introduce a new operator in order to derive some new symmetric properties of Fibon...
This paper is the extended form of the talk entitled ”On the Hyperbolic Fibonacci Matrix Functions” ...
Abstract: In this paper, we calculate the generating functions by using the concepts of symmetric fu...
Here presented is the interrelationship between Eulerian polynomials, Eulerian fractions and Euler-F...
The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibo...
In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomial...
Motivated mainly by a variety of applications of Euler's Beta, hypergeometric, and confluent hyperge...
We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Euler...