On Certain Triple Integral Relations Involving Elementary Functions
SAMRIDDHI A Journal of Physical Sciences Engineering and Technology, 2022 The aim of this paper is to establish three triple integral relations involving elementary functions. A number of triple integrals can be deduced by proper specialization of the unknown functions f and g occurring in these relations.
Mithilesh K. Mishra +4 more
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An algebraic treatment of the Askey biorthogonal polynomials on the unit circle
Forum of Mathematics, Sigma, 2021 A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties to an algebra called the meta-Jacobi algebra $m\mathfrak {J}$ .
Luc Vinet, Alexei Zhedanov
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Analytical properties of the two-variables Jacobi matrix polynomials with applications
Demonstratio Mathematica, 2021 In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived.
Abdalla Mohamed, Hidan Muajebah
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A note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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Certain classes of bi-univalent functions associated with the Horadam polynomials
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper we consider two subclasses of bi-univalent functions defined by the Horadam polynomials. Further, we obtain coefficient estimates for the defined classes.
Orhan Halit +4 more
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On the kernel of the $(\kappa ,a)$ -Generalized fourier transform
Forum of Mathematics, Sigma, 2023 For the kernel $B_{\kappa ,a}(x,y)$ of the $(\kappa ,a)$ -generalized Fourier transform $\mathcal {F}_{\kappa ,a}$ , acting in $L^{2}(\mathbb {R}^{d})$ with the weight $|x|^{a-2}v_{\kappa }(x)$ , where $v_{\kappa }$
Dmitry Gorbachev +2 more
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An efficient algorithm for solving the conformable time-space fractional telegraph equations
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense.
Saad Abdelkebir, Brahim Nouiri
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q-Functions and Distributions, Operational and Umbral Methods
Mathematics, 2021 The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli +3 more
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A note on Eulerian numbers and Toeplitz matrices
Special Matrices, 2020 This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.
He Tian-Xiao, Shiue Peter J.-S.
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Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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