Results 1 to 10 of about 401,067 (279)
Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements [PDF]
, 2001 General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics. Our approach is based on a generalization of the second hypervirial method previously employed in the non ...
A L Salas-Brito +22 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 +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 +2 more
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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
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Identities for Fibonacci and Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper several new identities are given for the Fibonacci and Lucas numbers. This is accomplished by by solving a class of non-homogeneous, linear recurrence relations.
George Grossman +2 more
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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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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 +2 more
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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 +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 +2 more
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Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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