# On certain properties of linear iterative equations

Jean-Claude Ndogmo; Fazal Mahomed

Open Mathematics (2014)

- Volume: 12, Issue: 4, page 648-657
- ISSN: 2391-5455

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topJean-Claude Ndogmo, and Fazal Mahomed. "On certain properties of linear iterative equations." Open Mathematics 12.4 (2014): 648-657. <http://eudml.org/doc/269743>.

@article{Jean2014,

abstract = {An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations is obtained, and this gives rise to the derivation of important symmetry properties for iterative equations. The transformation mapping a given iterative equation to the canonical form is obtained in terms of the simplest determining equation, and several examples of application are discussed.},

author = {Jean-Claude Ndogmo, Fazal Mahomed},

journal = {Open Mathematics},

keywords = {Linear iterative equation; Recurrence relations; Canonical form; Coefficients characterization; Normal form; linear iterative equations; recurrence relations; canonical form; coefficients characterization; normal form},

language = {eng},

number = {4},

pages = {648-657},

title = {On certain properties of linear iterative equations},

url = {http://eudml.org/doc/269743},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Jean-Claude Ndogmo

AU - Fazal Mahomed

TI - On certain properties of linear iterative equations

JO - Open Mathematics

PY - 2014

VL - 12

IS - 4

SP - 648

EP - 657

AB - An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations is obtained, and this gives rise to the derivation of important symmetry properties for iterative equations. The transformation mapping a given iterative equation to the canonical form is obtained in terms of the simplest determining equation, and several examples of application are discussed.

LA - eng

KW - Linear iterative equation; Recurrence relations; Canonical form; Coefficients characterization; Normal form; linear iterative equations; recurrence relations; canonical form; coefficients characterization; normal form

UR - http://eudml.org/doc/269743

ER -

## References

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