Zobrazeno 1 - 10
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pro vyhledávání: '"Shiha, F. A."'
Autor:
Shiha, F. A.
In this present paper, we show that the Stirling numbers of the first kind with higher level connected with the probability distribution of the number of records and record times in the so-called F^{\alpha}-scheme. In addition, we determine the locat
Externí odkaz:
http://arxiv.org/abs/2305.02684
Autor:
Shiha, F. A.
In this paper, we introduce the $r$-central factorial numbers with even indices of the first and second kind, as extended versions of the central factorial numbers with even indices of both kinds. We obtain several fundamental properties and identiti
Externí odkaz:
http://arxiv.org/abs/1911.12167
Autor:
Shiha, F. A.
We define the Bernoulli polynomials with a $q$ parameter in terms of $r$-Whitney numbers of the second kind. Some algebraic properties and combinatorial identities of these polynomials are given. Also, we obtain several relations between the Cauchy a
Externí odkaz:
http://arxiv.org/abs/1804.05437
Autor:
Shiha, F. A.
The Cauchy polynomials with a $q$ parameter were recently defined, and several arithmetical properties were studied. In this paper, we establish explicit formulae for computing the Cauchy polynomials with a $q$ parameter in terms of $r$-Whitney numbe
Externí odkaz:
http://arxiv.org/abs/1804.00654
Autor:
El-Desouky, B. S., Shiha, F. A.
We define the $(q,\bar{\boldsymbol{\alpha}})$-Whitney numbers which are reduced to the $\bar{\boldsymbol{\alpha}}$-Whitney numbers when $q\rightarrow1$. Moreover, we obtain several properties of these numbers such as explicit formulas, recurrence rel
Externí odkaz:
http://arxiv.org/abs/1702.02067
In this paper, we define the generalized r-Whitney numbers of the first and second kind. Moreover, we drive the generalized Whitney numbers of the first and second kind. The recurrence relations and the generating functions of these numbers are deriv
Externí odkaz:
http://arxiv.org/abs/1606.04756
Autor:
El-Desouky, B. S., Shiha, F. A.
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2018 Apr 01. 12(1), 178-191.
Externí odkaz:
https://www.jstor.org/stable/90020611
Publikováno v:
Filomat, 2017 Jan 01. 31(2), 309-320.
Externí odkaz:
https://www.jstor.org/stable/24899542
Publikováno v:
Journal of Applied Probability, 2015 Dec 01. 52(4), 981-989.
Externí odkaz:
http://www.jstor.org/stable/43860902
Autor:
Shiha, F. A.1 (AUTHOR) fshiha@yahoo.com
Publikováno v:
Advances in Difference Equations. 6/17/2020, Vol. 2020 Issue 1, p1-16. 16p.