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   Articles with "matrix functions" as a keyword



Stability of the procedure of explicit recovery of skew-selfadjoint Dirac systems from rational Weyl matrix functions

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recommendations! Published in 2017 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2017.07.034

Abstract: Abstract Procedures to recover explicitly discrete and continuous skew-selfadjoint Dirac systems on semi-axis from rational Weyl matrix functions are considered. Their stability is shown. Some new facts on asymptotics of pseudo-exponential potentials (i.e., of explicit… read more here.

Keywords: skew selfadjoint; matrix functions; weyl matrix; rational weyl ... See more keywords

Lax pair in m × m matrix functions form of the m-component modified KP hierarchy

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recommendations! Published in 2025 at "Nonlinearity"

DOI: 10.1088/1361-6544/adb239

Abstract: In this paper, the m-component modified KP hierarchy is introduced as an identity expressed in terms of free fermions and tau functions, where tau functions are defined as group GL∞ orbitals. Subsequently, the Hirota bilinear… read more here.

Keywords: component modified; lax pair; matrix functions; modified hierarchy ... See more keywords
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A note on two-variable Lommel matrix functions

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recommendations! Published in 2017 at "Asian-european Journal of Mathematics"

DOI: 10.1142/s1793557118500419

Abstract: The aim of the present work is to develop a pair of Lommel matrix functions of two variables suggested by the Bessel matrix functions and some of their properties are studied to be special cases… read more here.

Keywords: two variable; matrix functions; variable lommel; lommel matrix ... See more keywords

Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions

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recommendations! Published in 2025 at "Journal of Function Spaces"

DOI: 10.1155/jofs/9578749

Abstract: In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix… read more here.

Keywords: matrix functions; matrix; hypergeometric matrix; appell hypergeometric ... See more keywords

A study of Horn matrix functions and Horn confluent matrix functions

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recommendations! Published in 2024 at "Analysis"

DOI: 10.1515/anly-2023-0057

Abstract: Abstract In this paper, we give the matrix version of Horn’s hypergeometric function and their confluent cases. We also discuss the regions of convergence, system of matrix differential equations of bilateral type, differential formulae and… read more here.

Keywords: matrix functions; functions study; matrix; study horn ... See more keywords

Multi-Delayed Discrete Matrix Functions and Their Applications in Solving Higher-Order Difference Equations

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recommendations! Published in 2025 at "Mathematics"

DOI: 10.3390/math13182939

Abstract: A new class of linear non-homogeneous discrete matrix equations with multiple delays and second-order differences is considered, where the coefficient matrices satisfy pairwise permutability conditions. First, new multi-delayed discrete matrix sine- and cosine-type functions are… read more here.

Keywords: matrix functions; multi delayed; discrete matrix; order ... See more keywords