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pro vyhledávání: '"Mansour, Zeinab"'
A Lagrangian method is introduced recently for deriving indefinite integrals of special functions that satisfy homogeneous (nonhomogeneous) second-order linear differential equations. This paper extends this method to include indefinite Jackson $q$-i
Externí odkaz:
http://arxiv.org/abs/2205.04867
Autor:
Eweis, S. Z., Mansour, Zeinab S. I.
In this paper, we introduce the polynomials $B^{(k)}_{n,\alpha}(x;q)$ generated by a function including Jackson $q$-Bessel functions $J^{(k)}_{\alpha}(x;q)$ $ (k=1,2,3),\,\alpha>-1$. The cases $\alpha=\pm\frac{1}{2}$ are the $q$-analogs of Bernoulli
Externí odkaz:
http://arxiv.org/abs/2201.10117
In this paper, we expand functions of specific $q$-exponential growth in terms of its even (odd) Askey- Wilson $q$-derivatives at $0$ and $\eta=(q^{1/4}+q^{-1/4})/2$. This expansion is a $q$-version of the celebrated Lidstone expansion theorem, where
Externí odkaz:
http://arxiv.org/abs/2109.02500
In this paper, we introduce two types of general classes of even and odd $q$-Lidstone polynomial sequences. We prove essential properties related to them like the matrix and determinate form representation, the generating function, recurrence relatio
Externí odkaz:
http://arxiv.org/abs/2109.01452
Autor:
El-Guindy, Ahmad, Mansour, Zeinab
In this paper, we use two different approaches to introduce $q$-analogs of Riemann's zeta function and prove that their values at even integers are related to the $q$-Bernoulli and $q$ Euler's numbers introduced by Ismail and Mansour [Analysis and Ap
Externí odkaz:
http://arxiv.org/abs/2007.10447
Publikováno v:
In Advances in Applied Mathematics January 2023 142
Autor:
Oraby Karima M., Mansour Zeinab S. I.
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 61-80 (2022)
This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Externí odkaz:
https://doaj.org/article/4f3dca4322f24601b0af0ee923fb9cbf
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Autor:
Mansour, Zeinab S. I.
In this paper, we formulate a regular $q$-fractional Sturm--Liouville problem (qFSLP) which includes the left-sided Riemann--Liouville and the right-sided Caputo $q$-fractional derivatives of the same order $\alpha$, $\alpha\in (0,1)$. We introduce t
Externí odkaz:
http://arxiv.org/abs/1602.01498