New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots

Ilker Akkus; Gonca Kizilaslan

doi:10.2478/auom-2021-0001

New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots

Analele Universitatii Ovidius Constanta - Seria Matematica ◽

10.2478/auom-2021-0001 ◽

2021 ◽

Vol 29 (1) ◽

pp. 5-16

Author(s):

Ilker Akkus ◽

Gonca Kizilaslan

Keyword(s):

Second Order ◽

Order Linear ◽

Quaternionic Polynomials

Abstract We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.

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Canonical forms and discrete Liouville–Green asymptotics for second-order linear difference equations

Advances in Difference Equations ◽

10.1186/s13662-019-2293-z ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Renato Spigler

Keyword(s):

Difference Equations ◽

Second Order ◽

Canonical Forms ◽

Linear Difference Equations ◽

Order Linear

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Bases for Second Order Linear ODEs

American Mathematical Monthly ◽

10.1080/00029890.2020.1803626 ◽

2020 ◽

Vol 127 (9) ◽

pp. 849-849

Author(s):

Peter McGrath

Keyword(s):

Second Order ◽

Order Linear ◽

Linear Odes

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Asymptotic approximations for second-order linear difference equations in Banach algebras, II

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.08.012 ◽

2008 ◽

Vol 340 (1) ◽

pp. 433-450 ◽

Cited By ~ 3

Author(s):

Tania Soldà ◽

Renato Spigler ◽

Marco Vianello

Keyword(s):

Difference Equations ◽

Banach Algebras ◽

Second Order ◽

Asymptotic Approximations ◽

Linear Difference Equations ◽

Order Linear

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Second order linear parabolic equations in uniform spaces in $${\varvec{\mathbb {R}^{N}}}$$ R N

Revista Matemática Complutense ◽

10.1007/s13163-016-0215-0 ◽

2016 ◽

Vol 30 (1) ◽

pp. 63-78

Author(s):

Carlos Quesada ◽

Aníbal Rodríguez-Bernal

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Uniform Spaces ◽

Order Linear ◽

Linear Parabolic Equations

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A computer program to find analytical solutions of second order linear differential equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620060420 ◽

1973 ◽

Vol 6 (4) ◽

pp. 603-606

Author(s):

S. J. Farlow

Keyword(s):

Differential Equations ◽

Computer Program ◽

Analytical Solutions ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential

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The geometry of second order linear partial differential operators

Communications in Partial Differential Equations ◽

10.1080/03605308308820280 ◽

1983 ◽

Vol 8 (6) ◽

pp. 643-665 ◽

Cited By ~ 1

Author(s):

Gregory A. Fredricks

Keyword(s):

Differential Operators ◽

Second Order ◽

Partial Differential ◽

Order Linear ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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Second order linear consensus protocols with irregular topologies and time delay

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6160265 ◽

2011 ◽

Author(s):

Rudy Cepeda-Gomez ◽

Nejat Olgac

Keyword(s):

Time Delay ◽

Second Order ◽

Order Linear

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Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions

SIAM Journal on Mathematical Analysis ◽

10.1137/0517033 ◽

1986 ◽

Vol 17 (2) ◽

pp. 422-450 ◽

Cited By ~ 19

Author(s):

W. G. C. Boyd ◽

T. M. Dunster

Keyword(s):

Differential Equations ◽

Turning Point ◽

Second Order ◽

Linear Differential Equations ◽

Asymptotic Solutions ◽

Legendre Functions ◽

Regular Singularity ◽

Order Linear ◽

Linear Differential

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A representation theorem for the linear quasi-differential equation(py′)′+qy=0

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s016117120000199x ◽

2000 ◽

Vol 23 (8) ◽

pp. 579-584

Author(s):

J. G. O'Hara

Keyword(s):

Differential Equation ◽

Comparison Theorem ◽

Simple Proof ◽

Representation Theorem ◽

Second Order ◽

Order Linear

We establish a representation forqin the second-order linear quasi-differential equation(py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.

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