In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type
Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various …

In this study, we consider A, Z and ω-sequences of the almost-Riordan arrays and their
inverses. Also, we get A, Z and ω-sequences of the product of two almost-Riordan arrays …

In this paper, we prove the $ q $-analogue of the fundamental theorem of Riordan arrays. In
particular, by defining two new binary operations $\ast_ {q} $ and $\ast _ {1/q} $, we obtain a …

We give a differential calculus defined on deformed generalized Fibonacci polynomials. The
main goal is to generalize the $ q $-calculus and the Golden calculus or Fibonacci calculus …

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In this paper, we define a generalization of the Leonardo numbers called the hyper-
Leonardo numbers. Then, the infinite lower triangular matrices with Leonardo and hyper …

In this paper a Ward-Fonten\'e differential universal algebra is constructed. In this algebra it
is possible to obtain a product $\psi $-rule and a general $\psi $-rule of Leibniz for any …

Bivariate Leonardo polynomials, which are closely related to bivariate Fibonacci
polynomials, are defined in this paper. Bivariate Leonardo polynomials are a generalization …

arXiv:2107.00137v1 [math.RA] 30 Jun 2021 General Leibniz rule for Ward’s differential calculus
Page 1 arXiv:2107.00137v1 [math.RA] 30 Jun 2021 General Leibniz rule for Ward’s differential …

Riordan grup kavramı ilk olarak 1991 yılında Shapiro, Getu, Woon ve Woodson tarafından
tanıtılmıştır [1]. Kombinatoriyel özelliklerin gelişmesinde çok önemli bir yere sahip Amerikalı …