Results 11 to 20 of about 3,674,543 (358)
Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements [PDF]
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 ...
R. P. Martínez‐y‐Romero+2 more
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An ubiquitous three-term recurrence relation [PDF]
We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under suitable truncation, yields exact ...
P. Amore, F. Fernández
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On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices
Ji-Teng Jia, Boting Yang, Sumei Li
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A generalization of the array type polynomials [PDF]
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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The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
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Extension of exton's hypergeometric function K16
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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Some new identities of a type of generalized numbers involving four parameters
This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas ...
Waleed Mohamed Abd-Elhameed+2 more
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The purpose of this study is to describe how college students with visual, auditory, and kinaesthetic learning style think relationally in solving recurrence relation problems using the tower of Hanoi.
Nur Fitriyah Indraswari+1 more
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Binomial Sum Relations Involving Fibonacci and Lucas Numbers
In this paper, we provide a first systematic treatment of binomial sum relations involving (generalized) Fibonacci and Lucas numbers. The paper introduces various classes of relations involving (generalized) Fibonacci and Lucas numbers and different ...
Kunle Adegoke+2 more
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Nested Catalan tables and a recurrence relation in noncommutative quantum field theory [PDF]
Correlation functions in a dynamic quartic matrix model are obtained from the two-point function through a recurrence relation. This paper gives the explicit solution of the recurrence by mapping it bijectively to a two-fold nested combinatorial ...
J. D. Jong+2 more
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