Abstract
In this paper, we consider the Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.
Highlights
In this paper, we use umbral calculus techniques to obtain several new and interesting identities of Barnes-type Daehee with λ-parameter and degenerate Euler mixedtype polynomials
The aim of the present paper is to present several new identities for Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials by the use of umbral calculus
Let BEn(x|a; b) be the Barnes-type Bernoulli and Euler mixed-type polynomials given by r i=
Summary
We use umbral calculus techniques (see [ , ]) to obtain several new and interesting identities of Barnes-type Daehee with λ-parameter and degenerate Euler mixedtype polynomials. We define the Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials DEn(λ, x|a; b) (for other Barnes-types, see [ – ]) as x For x = , DEn(λ|a; b) = DEn(λ, |a; b) are called the Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type numbers. Dn,λ(x|a) are called the Barnes-type Daehee polynomials with λ-parameter (see [ , ]).
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