Zobrazeno 1 - 10
of 1 132
pro vyhledávání: '"Mansour, A. S."'
Autor:
Gawish, F. A., Mansour, Z. S.
We establish two theorems that illustrate the uniqueness of inverse q-Sturm-Liouville problems based on a specified set of spectral data. The first uniqueness theorem employs the method of transformation operators to provide a q-analog of the Levinso
Externí odkaz:
http://arxiv.org/abs/2411.04287
Autor:
Eweis, S. Z. H., Mansour, Z. S. I.
In earlier work, we introduced three families of polynomials where the generating function of each set includes one of the three Jackson $q$-analogs of the Bessel function. This paper gives determinant representation for each family, their large $n $
Externí odkaz:
http://arxiv.org/abs/2307.04373
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
Publikováno v:
In Experimental Thermal and Fluid Science March 2025 162
Earlier work introduced a method for obtaining indefinite $q$-integrals of $q$-special functions from the second-order linear $q$-difference equations that define them. In this paper, we reformulate the method in terms of $q$-Riccati equations, which
Externí odkaz:
http://arxiv.org/abs/2203.01739
Autor:
Mansour, Z. S. I., AL-Towailb, M.
n this paper, we present $q$-Bernoulli and $q$-Euler polynomials generated by the third Jackson $q$-Bessel function to construct new types of $q$-Lidstone expansion theorem. We prove that the entire function may be expanded in terms of $q$-Lidstone p
Externí odkaz:
http://arxiv.org/abs/2202.03340
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
Autor:
Mansour, M. S. A.1 (AUTHOR), Abdelkarim, Abeer T.1 (AUTHOR), El-Sherif, Ahmed A.1 (AUTHOR), Mahmoud, Walaa H.1 (AUTHOR) wmahmoud@sci.cu.edu.eg
Publikováno v:
BMC Chemistry. 8/10/2024, Vol. 18 Issue 1, p1-31. 31p.
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