On degenerate truncated Frobenius-Euler polynomials
نویسندگان
چکیده
منابع مشابه
Sampling zeros and the Euler-Frobenius polynomials
In this paper, we show that the zeros of sampled-data systems resulting from rapid sampling of continuous-time systems preceded by a zero-order hold (ZOH) are the roots of the Euler– Frobenius polynomials. Using known properties of these polynomials, we prove two conjectures of Hagiwara and co-workers, the first of which concerns the simplicity, negative realness and interlacing properties of t...
متن کاملMatrix Approach to Frobenius-Euler Polynomials
In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials. This allows to apply an elementary matrix representation based on a nilpotent creation matrix for proving some of the main properties of Frobenius-Euler polynomials in a straightforwa...
متن کاملSome Identities of the Frobenius-Euler Polynomials
and Applied Analysis 3 If n ∈ Nwith n ≡ 0 mod 2 , then we have I−1 fn − I−1 f 2 n−1 ∑ l 0 −1 l−1f l . 2.6 From 1.4 and 2.3 , we derive ∫ Zp eqdμ−1 x 2 2 q 1 − −q −1 et − −q −1 2 2 q ∞ ∑ n 0 Hn −q−1 t n n! . 2.7 Thus, we note that ∫ Zp xqdμ−1 x 2 2 q Hn −q−1 , ∫ Zp y x qdμ−1 x 2 2 q Hn −q−1, x . 2.8 Let n ∈ N with n ≡ 1 mod 2 . Then we obtain 2 q n−1 ∑ l 0 −1 ql qHm −q−1, n Hm −q−1 . 2.9 For n ∈...
متن کاملUmbral Calculus and the Frobenius-Euler Polynomials
and Applied Analysis 3 Theorem 1. For p(x) ∈ P n (λ), let
متن کاملAPOSTOL TYPE (p, q)-FROBENIUS-EULER POLYNOMIALS AND NUMBERS
In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on. Then, we provide integral representations, explicit formulas and relations for these polynomial...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New trends in mathematical sciences
سال: 2021
ISSN: ['2147-5520']
DOI: https://doi.org/10.20852/ntmsci.2021.438