Zobrazeno 1 - 10
of 548
pro vyhledávání: '"Genocchi polynomials"'
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 282-291 (2024)
AbstractIn this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process. By employing this tec
Externí odkaz:
https://doaj.org/article/a1884007b4f84bc29e6285dbf2ca36ce
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function. Then, we analyze
Externí odkaz:
https://doaj.org/article/56358269d9a34077bcced858d937e667
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of
Externí odkaz:
https://doaj.org/article/f42e2c61b9d846549e70dcc16d1ecd33
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomial
Externí odkaz:
https://doaj.org/article/1a69ad68923b4e2bbc36908397e3149d
Autor:
M.H. Heydari, Sh. Zhagharian
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100554- (2023)
In this research, a kind of non-singular variable-order fractional derivative is utilized to define two types of variable-order fractional Fornberg–Whitham equations. The shifted Genocchi polynomials are employed to construct two operational matrix
Externí odkaz:
https://doaj.org/article/d716b8389beb471ea4c5a13d365ed412
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss 1, Pp 121-140 (2023)
A new numerical scheme based on Genocchi polynomials is constructed to solve fractional Sturm–Liouville problems of order two in which the fractional derivative is considered in the Caputo sense. First, the differen-tial equation with boundary cond
Externí odkaz:
https://doaj.org/article/d8e3aee966ad4ec09faec46f6bebc376
Akademický článek
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Akademický článek
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Autor:
Noor Alam, Waseem Ahmad Khan, Can Kızılateş, Sofian Obeidat, Cheon Seoung Ryoo, Nabawia Shaban Diab
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1358 (2023)
Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations. In this study, we define Frobenius
Externí odkaz:
https://doaj.org/article/51ae9dbfd28147118bbdd07f5f795285
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 8221-8238 (2021)
In this paper, we discussed some new properties on the newly defined family of Genocchi polynomials, called poly-Genocchi polynomials. These polynomials are extensions from the Genocchi polynomials via generating function involving polylogarithm func
Externí odkaz:
https://doaj.org/article/431b68b86e494846b3160664404945c3