Add to ORKGIn the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some numbers, including the Bernoulli numbers.Comment: 13 pages, preprin
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are in...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometr...
Abstract: In the present paper, we introduce Eulerian polynomials with parameters a and b and give t...
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduce...
AbstractEuler's well-known nonlinear relation for Bernoulli numbers, which can be written in symboli...
AbstractIn this paper, the spline interpretations of Eulerian numbers and refined Eulerian numbers a...
AbstractIn a recent paper which appeared in this journal, Cheon [1] rederived several known properti...
We present a new simple proof of Euler’s formulas for Z(2k), where k= 1,2,3,.... The computation is...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
In the paper, the authors significantly and meaningfully simplify two families of nonlinear ordinary...
AbstractIn this paper, by the generating function method, we establish various identities concerning...
AbstractWe define and study sub-Eulerian polynomials of type D, which count the elements of the grou...
A short report on the lecture at the Conference in honor of W. Killing in Muenster on December 7th, ...
AbstractWe study in this work properties of a combinatorial expansion of the classical Eulerian poly...
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are in...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometr...
Abstract: In the present paper, we introduce Eulerian polynomials with parameters a and b and give t...
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduce...
AbstractEuler's well-known nonlinear relation for Bernoulli numbers, which can be written in symboli...
AbstractIn this paper, the spline interpretations of Eulerian numbers and refined Eulerian numbers a...
AbstractIn a recent paper which appeared in this journal, Cheon [1] rederived several known properti...
We present a new simple proof of Euler’s formulas for Z(2k), where k= 1,2,3,.... The computation is...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
In the paper, the authors significantly and meaningfully simplify two families of nonlinear ordinary...
AbstractIn this paper, by the generating function method, we establish various identities concerning...
AbstractWe define and study sub-Eulerian polynomials of type D, which count the elements of the grou...
A short report on the lecture at the Conference in honor of W. Killing in Muenster on December 7th, ...
AbstractWe study in this work properties of a combinatorial expansion of the classical Eulerian poly...
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are in...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometr...