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On a New Generalization of Pell Hybrid Numbers

open access: yesAnnales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota   +2 more
doaj   +1 more source

New Results of Generalized Jacobsthal–Lucas Polynomials with Some Integral Applications

open access: yesMathematics
We study a generalized class of Jacobsthal–Lucas polynomials that depends on two parameters. First, we introduce essential formulas for these polynomials, involving their series representation, inverse formula, and moment formula. These formulas allow us
Naher Mohammed A. Alsafri   +1 more
doaj   +1 more source

Some New Recurrence Relations Concerning Jacobi Functions

open access: yesJournal of Mathematics, 2013
Hatem Mejjaoli, Ahmedou Ould Ahmed Salem
doaj   +1 more source

A matrix formulation of Frobenius power series solutions using products of 4X4 matrices

open access: yesElectronic Journal of Differential Equations, 2015
In Coddington and Levison [7, p. 119, Thm. 4.1] and Balser [4, p. 18-19, Thm. 5], matrix formulations of Frobenius theory, near a regular singular point, are given using 2X2 matrix recurrence relations yielding fundamental matrices consisting of two ...
Jeremy Mandelkern
doaj  

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