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of 114
pro vyhledávání: '"Anthony Sofo"'
Autor:
Anthony Sofo
Publikováno v:
Cubo, Vol 26, Iss 1, Pp 75-89 (2024)
In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral. A reciprocity prope
Externí odkaz:
https://doaj.org/article/e435ff8cc353498abc838b8f692fbd46
Autor:
Anthony Sofo
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1322 (2024)
We investigate the linear arrangement of Euler harmonic sums that may be expressed in closed form in terms of special functions such as the classical Riemann zeta function and the Dirichlet eta function. Particular emphasis is given to Euler harmonic
Externí odkaz:
https://doaj.org/article/712401359a18441888051186381ddb5a
Autor:
Anthony Sofo
Publikováno v:
Discrete Mathematics Letters, Vol 12, Pp 15-21 (2023)
Externí odkaz:
https://doaj.org/article/b3ff9a5bf36848a39b9fb1761fa1033b
Autor:
Anthony Sofo
Publikováno v:
Discrete Mathematics Letters, Vol 10, Pp 68-74 (2022)
Externí odkaz:
https://doaj.org/article/75a84e305f504a46804d8d968ff2ad81
Autor:
Junesang Choi, Anthony Sofo
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1637 (2023)
A very recent article delved into and expanded the four parametric linear Euler sums, revealing that two well-established subjects—Euler sums and series involving the zeta functions—display particular correlations. In this study, we present sever
Externí odkaz:
https://doaj.org/article/758a68a1eb964d2f8b21627b7a04dcbd
Autor:
Anthony Sofo
Publikováno v:
Mathematical Modelling and Analysis, Vol 27, Iss 1, Pp 1–18-1–18 (2022)
An investigation into the representation of integrals involving the product of the logarithm and the arctan functions, reducing to log-tangent integrals, will be undertaken in this paper. We will show that in many cases these integrals take an explic
Externí odkaz:
https://doaj.org/article/a79bfd7f287b45399b6e70c00f04e2bf
Autor:
Necdet Batir, Anthony Sofo
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2002 (2021)
We prove some finite sum identities involving reciprocals of the binomial and central binomial coefficients, as well as harmonic, Fibonacci and Lucas numbers, some of which recover previously known results, while the others are new.
Externí odkaz:
https://doaj.org/article/d277a7af7e214472abf15da1ea080c14
Autor:
Anthony Sofo, Amrik Singh Nimbran
Publikováno v:
Mathematics, Vol 7, Iss 9, p 833 (2019)
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper. After discu
Externí odkaz:
https://doaj.org/article/248c88094866485d8729bc728404db40
Autor:
Anthony Sofo
Publikováno v:
Mathematics, Vol 7, Iss 2, p 143 (2019)
We give an overview of the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider polylogarithmic functions with linear, quadratic, and trigonometric arguments, thereby produci
Externí odkaz:
https://doaj.org/article/ae6534d4f1aa460fa46ac6cde354f037
Autor:
Anthony Sofo
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 67, Pp 3631-3652 (2004)
Externí odkaz:
https://doaj.org/article/8f7bff57dd634220aa6ec9d6561fa84f