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pro vyhledávání: '"Goubi, Mouloud"'
Autor:
Goubi, Mouloud
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2023 Apr 01. 17(1), 262-272.
Externí odkaz:
https://www.jstor.org/stable/27281407
Autor:
Goubi, Mouloud
In this paper we revisit the work of E.T. Bell concerning partition polynomials in order to introduce the reciprocal partition polynomials. We give their explicit formulas and apply the result to compute closed formulae for some well-known partition
Externí odkaz:
http://arxiv.org/abs/2008.11122
Autor:
Goubi, Mouloud
Our aim in this work is to give explicit formula of the linear processes solution of autoregressive time series AR(2) with hint of generating functions theory by using the Horadam numbers and polynomials.
Comment: 5p
Comment: 5p
Externí odkaz:
http://arxiv.org/abs/2003.13938
Autor:
Goubi, Mouloud
In this paper, we are interested by the cotangent sum c0(q/p) related to the Estermann zeta function for the special case when q = 1 and get explicit formula for its series expansion, which represents an improvement of the identity (2:1) Theorem (2:1
Externí odkaz:
http://arxiv.org/abs/1903.00250
Autor:
Goubi, Mouloud
Finite trigonometric sums appear in various branches of Physics, Mathematics and their applications. For p; q to coprime positive integers and r we consider the finite trigonometric sums involving the product of three trigonometric functions.
Co
Co
Externí odkaz:
http://arxiv.org/abs/1811.00361
Autor:
Goubi, Mouloud
In this paper, for coprime numbers p and q we consider the well known Dedekind sums S(p,q) First, we give an improvement of the proof given by H. Rademacher and A. Whiteman, and we construct a new arithmetical proof for the reciprocity law
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1810.06102
Autor:
Goubi, Mouloud
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2020 Apr 01. 14(1), 94-105.
Externí odkaz:
https://www.jstor.org/stable/26964947
Autor:
Goubi Mouloud
Publikováno v:
Mathematica Moravica, Vol 24, Iss 2, Pp 83-98 (2020)
Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities. Amon
Externí odkaz:
https://doaj.org/article/178ede7e4e07462f90c345fde42934e9
Autor:
BELHADJ, Samir, GOUBİ, Mouloud
Publikováno v:
Volume: 31, Issue: 31 230-242
International Electronic Journal of Algebra
International Electronic Journal of Algebra
The present work is focused on the study of a cotangent sum associated to the zeros of the Estermann zeta function and Riemann zeta function. We use Bell polynomials and generating functions approach to give arithmetical proof of its Dirichlet series
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d23cd333a26106d0c78d2d9454be8f6
https://doi.org/10.24330/ieja.1058435
https://doi.org/10.24330/ieja.1058435
Autor:
Goubi, Mouloud1 mouloud.ummto@hotmail.fr
Publikováno v:
Facta Universitatis, Series: Mathematics & Informatics. 2018, Vol. 33 Issue 2, p163-176. 14p.