Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Maryam Al-Towailb"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 13525-13542 (2023)
In this paper, we consider the $ q $-type $ k $-Lidstone series. The series follows from expanding certain classes of entire functions in terms of Jackson $ q^{-1} $- derivatives at integers congruent to r modulo k, where $ k $ is a positive integer.
Externí odkaz:
https://doaj.org/article/9fe066dc50094cf385aa17c68c87cb8c
Autor:
Maryam AL-Towailb
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 9339-9352 (2022)
In this paper, we study the existence of solutions for the general $ q $-Lidstone problem: $ \begin{equation*} (D_{q^{-1}}^{r_n}f)(1) = a_n, \quad (D_{q^{-1}}^{s_n}f)(0) = b_n, \quad (n\in \mathbb{N}) \end{equation*} $ where $ (r_n)_n $ and $ (
Externí odkaz:
https://doaj.org/article/861073f67f014fddb616759475bd6c2b
Publikováno v:
Axioms, Vol 12, Iss 5, p 412 (2023)
This paper introduces a q-analog of the class of completely convex functions. We prove specific properties, including that q-completely convex functions have convergent q-Lidstone series expansions. We also provide a sufficient and necessary conditio
Externí odkaz:
https://doaj.org/article/d13c89e8913f4d77b0e49fafc06f2cda
Publikováno v:
Axioms, Vol 12, Iss 1, p 22 (2022)
This paper characterizes those functions given by convergent q-Lidstone series expansion. We give the necessary and sufficient conditions so that the entire function f(z) has such an expansion, in which case convergence is uniform on compact sets.
Externí odkaz:
https://doaj.org/article/4939d795a03140b28d9579cb460ebb58
Autor:
Maryam Al-Towailb
Publikováno v:
Symmetry, Vol 14, Iss 4, p 782 (2022)
In this paper, we present the q-Lidstone polynomials which are q-Bernoulli polynomials generated by the third Jackson q-Bessel function, based on the Green’s function of a certain q-difference equation. Also, we provide the q-Fourier series expansi
Externí odkaz:
https://doaj.org/article/ce308a3f08c34f29bb3ce390540bce4f
Autor:
Zeinab Mansour, Maryam Al-Towailb
Publikováno v:
Boundary Value Problems, Vol 2017, Iss 1, Pp 1-18 (2017)
Abstract In this paper, we study some properties of q-Lidstone polynomials by using Green’s function of certain q-differential systems. The q-Fourier series expansions of these polynomials are given. As an application, we prove the existence of sol
Externí odkaz:
https://doaj.org/article/ff3a072929ca477b99c9574243993527
Autor:
Zeinab Mansour, Maryam Al-Towailb
Publikováno v:
Mathematical and Computational Applications, Vol 25, Iss 2, p 34 (2020)
In this paper, we introduce the complementary q-Lidstone interpolating polynomial of degree 2 n , which involves interpolating data at the odd-order q-derivatives. For this polynomial, we will provide a q-Peano representation of the error function. N
Externí odkaz:
https://doaj.org/article/bf936ec82eb94f8a863fedbf76792fc5
Autor:
Maryam Al-Towailb, Zeinab S. Mansour
Publikováno v:
Mathematical and Computational Applications, Vol 25, Iss 34, p 34 (2020)
Mathematical and Computational Applications
Volume 25
Issue 2
Mathematical and Computational Applications
Volume 25
Issue 2
In this paper, we introduce the complementary q-Lidstone interpolating polynomial of degree 2 n , which involves interpolating data at the odd-order q-derivatives. For this polynomial, we will provide a q-Peano representation of the error function. N
Autor:
Nabil Ourimi, Maryam Al-Towailb
Publikováno v:
Proceedings - Mathematical Sciences. 128
Let D, $$D'$$ be arbitrary domains in $${\mathbb C}^n$$ and $${\mathbb C}^N$$ respectively, $$1
Autor:
Maryam Al-Towailb, Zeinab S. Mansour
Publikováno v:
Boundary Value Problems, Vol 2017, Iss 1, Pp 1-18 (2017)
In this paper, we study some properties of q-Lidstone polynomials by using Green’s function of certain q-differential systems. The q-Fourier series expansions of these polynomials are given. As an application, we prove the existence of solutions fo