Mobius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials

Bayad Abdelmejid; Navas Luis

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Mobius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials

机译：与二维Apostol-Bernoulli多项式的Fourier展开有关的Mobius反演公式

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摘要

The two-dimensional (2D) Apostol Bernoulli and Apostol-Euler polynomials are defined via the generating functions

机译：通过生成函数定义二维（2D）Apostol Bernoulli和Apostol-Euler多项式

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来源
《Journal of Number Theory》 |2016年第null期|共17页
作者
Bayad Abdelmejid; Navas Luis;
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原文格式 PDF
正文语种 eng
中图分类数论;
关键词
Davenport's formula; Apostol-Bernoulli polynomials; Mobius inversion; Fourier series;

机译：达文波特公式;Apostol-Bernoulli多项式;Mobius反演;Fourier级数;

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1. 唯一分解整半群上的Mobius函数及其反演公式 [J] . 游林, 王天明, 赵熙强数学季刊（英文版） . 2002,第003期
2. Mobius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials [J] . Bayad Abdelmejid, Navas Luis Journal of Number Theory . 2016,第Null期

机译：与二维Apostol-Bernoulli多项式的Fourier展开有关的Mobius反演公式
3. Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials [J] . Bayad Abdelmejid, Navas Luis Applied mathematics and computation . 2015,第Null期

机译：二维Apostol-Bernoulli和Apostol-Euler多项式的代数性质和傅立叶展开
4. FOURIER EXPANSIONS FOR APOSTOL-BERNOULLI,APOSTOL-EULER AND APOSTOL-GENOCCHI POLYNOMIALS [J] . A. BAYAD Mathematics of computation . 2011,第276期

机译：Apostol-Bernoulli，Apostol-Euler和Apostol-Genocchi多项式的Fourier展开
5. The mobius inversion formula and inverting lattice sums [C] . R.P.Millane Conference on image reconstruction from incomplete data . 2000

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6. Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinder [D] . Wade, Jeremy 2009

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7. Interpolation by Hankel Translates of a Basis Function: Inversion Formulas and Polynomial Bounds [O] . Cristian Arteaga, Isabel Marrero -1

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8. FOURIER EXPANSIONS FOR APOSTOL-BERNOULLI, APOSTOL-EULER AND APOSTOL-GENOCCHI POLYNOMIALS [O] . A. Bayad 2013

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Mobius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials

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