Generalized Green’s functions for mth-order discrete nonlocal problems∗
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DOI: 10.1007/s10986-017-9346-3
Abstract: In this paper, we consider mth-order linear discrete problems with m nonlocal conditions. We investigate a generalized Green’s function, describing the minimum norm least squares solution, and present its properties, which resemble properties of an… read more here.
Keywords: functions mth; generalized green; order discrete; green functions ... See more keywords
On λ-convergence and λ-boundedness of mth order
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DOI: 10.1080/03610926.2019.1692032
Abstract: Abstract In the present paper, we introduce the notion of λm -convergence and λm -boundedness. We examine the relationship of these notions between of the ordinary convergence and ordinary boundedness, respectively. We also introduce new… read more here.
Keywords: convergence boundedness; sequence spaces; boundedness mth; boundedness ... See more keywords
A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials
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DOI: 10.3390/math13132179
Abstract: This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative and derivative operators, and the… read more here.
Keywords: appell polynomials; laguerre; order laguerre; mth order ... See more keywords