Results 1 to 10 of about 122,812 (248)

On the constant coefficients of a certain recurrence relation: A simple proof. [PDF]

Heliyon, 2021
Anđelić M, da Fonseca CM.
europepmc   +2 more sources

Some New Families of Finite Orthogonal Polynomials in Two Variables

Axioms, 2023
In this paper, we generalize the study of finite sequences of orthogonal polynomials from one to two variables. In doing so, twenty three new classes of bivariate finite orthogonal polynomials are presented, obtained from the product of a finite and an ...
Esra Güldoğan Lekesiz, Iván Area
doaj   +1 more source

Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method

Fractal and Fractional, 2023
This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed, Shahid Ahmad Wani, Ali M. Mahnashi   +2 more
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On Global Convergence of Third-Order Chebyshev-Type Method under General Continuity Conditions

Fractal and Fractional, 2022
There are very few papers that talk about the global convergence of iterative methods with the help of Banach spaces. The main purpose of this paper is to discuss the global convergence of third order iterative method.
Fouad Othman Mallawi, Ramandeep Behl, Prashanth Maroju   +2 more
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A generalization of the array type polynomials [PDF]

Mathematica Moravica, 2022
We introduce a generalization of the array type polynomials by using two specific generating functions and investigate some of its basic properties in the sequel. A recurrence relation and two summation formulas involving these polynomials are also given.
Masjed-Jamei Mohammad, Milovanović Gradimir V, Cıhat Dağlı Muhammet   +2 more
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On hypergeometric Cauchy numbers of higher grade

AIMS Mathematics, 2021
In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy, and Euler numbers. Cauchy numbers can be generalized to the hypergeometric Cauchy numbers. Recently, Barman et al.
Takao Komatsu, Ram Krishna Pandey
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Towards the Centenary of Sheffer Polynomial Sequences: Old and Recent Results

Mathematics, 2022
Sheffer’s work is about to turn 100 years after its publication. In reporting this important event, we recall some interesting old and recent results, aware of the incompleteness of the wide existing literature. Particularly, we recall Sheffer’s approach,
Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli   +2 more
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Fibonacci and Lucas Polynomials in n-gon

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we bring into light, study the polygonal structure of Fibonacci polynomials that are placed clockwise on these by a number corresponding to each vertex. Also, we find the relation between the numbers with such vertices.
Kuloğlu Bahar, Özkan Engin, Marin Marin   +2 more
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Asymptotic series solution of variational stokes problems in planar domain with crack-like singularity

Applied Mathematics in Science and Engineering, 2022
A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
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Some Relations on the _rR_s(P,Q,z) Matrix Function

Axioms, 2023
In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata, Ghazi S. Khammash, Carlo Cattani   +2 more
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