#### Filter Results:

- Full text PDF available (13)

#### Publication Year

2012

2019

- This year (1)
- Last 5 years (17)
- Last 10 years (23)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

In this paper we study the coefficients of the powers of an ordi nary generating function and their properties. A new class of functions based on compositions of an integer n is introduced and is… (More)

Using notions of composita and composition of generating functions we obtain explicit formulas for Chebyshev polynomials, Legendre polynomials, Gegenbauer polynomials, Associated Laguerre… (More)

We present techniques for obtaining a generating function for the central coefficients of a triangle T(n,k), which is given by the expression [xH(x)] k = P n>k T(n,k)x n , H(0) 6 0. We also prove… (More)

We propose a method for obtaining expressions for polynomials based on a composition of generating functions. We obtain expressions for Chebyshev polynomials, Stirling polynomials, Narumi polynomials.

Using notions of composita and composition of generating functions, we establish some explicit formulas for the Generalized Hermite polynomials, the Generalized Humbert polynomials, the Lerch… (More)

Abstract In this paper we deal with numerical triangles defined by generating functions in the power of k. We present new approach to study such triangles that allow us to get methods for obtaining… (More)

Using the notion of the composita, we obtain a method of solving iterative functional equations of the form $A^{2^n}(x)=F(x)$, where $F(x)=\sum_{n>0} f(n)x^n$, $f(1)\neq 0$. We prove that if… (More)

In the paper, 2 explicit formulas for the Euler numbers of the second kind are obtained. Based on those formulas a exponential generating function is deduced. Using the generating function some… (More)