A Note on Bell-Based Bernoulli and Euler Polynomials of Complex Variable
نویسندگان
چکیده
In this article, we construct the generating functions for new families of special polynomials including two parametric kinds Bell-based Bernoulli and Euler polynomials. Some fundamental properties these are given. By using some identities, relations among trigonometric polynomials, Stirling numbers presented. Computational formulae obtained. Applying a partial derivative operator to functions, finite combinatorial sums involving aforementioned also addition, remarks observations on
منابع مشابه
On Identities Involving Bernoulli and Euler Polynomials
A class of identities satisfied by both Bernoulli and Euler polynomials is established. Recurrence relations for Bernoulli and Euler numbers are derived.
متن کاملA new class of generalized Bernoulli polynomials and Euler polynomials
The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava–Pintér addition theorem is obtained. We give new identities involving q-Bernstein polynomials.
متن کاملA Note on the Relationships Between the Generalized Bernoulli and Euler Polynomials
In this article, we study the generalized Bernoulli and Euler polynomials, and obtain relationships between them, based upon the technique of matrix representation.
متن کاملA Note on the Multiplication Formulas for the Bernoulli and Euler Polynomials
where J5m(x), Em(x) denote the polynomials of Bernoulli and Euler in the usual notation. It is perhaps not so familiar that (1.1) and (1.2) characterize the polynomials. More precisely, as Nielsen has pointed out [3, p. 54], if a normalized polynomial satisfies (1.1) for a single value k>l, then it is identical with Bm(x); similarly if a normalized polynomial satisfies (1.2) for a single odd k>...
متن کاملAnalysis of Euler-Bernoulli nanobeams: A mechanical-based solution
The accuracy and efficiency of the elements proposed by finite element method (FEM) considerably depend on the interpolating functions namely shape functions used to formulate the displacement field within the element. In the present study, novel functions, namely basic displacements functions (BDFs), are introduced and exploited for structural analysis of nanobeams using finite element method ...
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: Cmes-computer Modeling in Engineering & Sciences
سال: 2023
ISSN: ['1526-1492', '1526-1506']
DOI: https://doi.org/10.32604/cmes.2022.021418