Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
نویسندگان
چکیده
منابع مشابه
Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
We investigate Fourier expansions for the Apostol-Bernoulli and Apostol-Euler polynomials using the Lipschitz summation formula and obtain their integral representations. We give some explicit formulas at rational arguments for these polynomials in terms of the Hurwitz zeta function. We also derive the integral representations for the classical Bernoulli and Euler polynomials and related known ...
متن کاملFourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.
متن کاملConstruction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
*Correspondence: [email protected] 1Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, Gaziantep, Turkey Full list of author information is available at the end of the article Abstract In the present paper, we find the Fourier expansion of the Apostol Frobenius–Euler polynomials. By using a Fourier expansion of the Apostol Frobenius–Eul...
متن کاملAn extension of generalized Apostol-Euler polynomials
Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011). In this paper, we introduce and investigate an extension of the generalized Apostol-Euler polynomials. We state some properties for these polynomials and obtain some relationships between the polynomials and Apostol-Bernoulli polynomials, Stir...
متن کاملSome New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials
The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér 2004 and R...
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: Advances in Difference Equations
سال: 2020
ISSN: 1687-1847
DOI: 10.1186/s13662-020-02988-0