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Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12524-12538, 30 July 2026.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Genome-Wide DNA Methylation Profiling of Peripheral Blood Mononuclear Cells Reveals Epigenetic Signatures in Autism Spectrum Disorder. [PDF]

open access: yesInt J Mol Sci
Saeliw T   +9 more
europepmc   +1 more source

Coral larvae have unique transcriptomic responses to pathogenic and probiotic bacteria. [PDF]

open access: yesCoral Reefs
Borbee EM   +6 more
europepmc   +1 more source

Genome-wide gene expression analysis suggests an important regulatory role of lncRNAs in primary Sjögren's syndrome. [PDF]

open access: yesFront Immunol
Li Z   +10 more
europepmc   +1 more source

Molecular Signatures of Maladaptive Plasticity in the Amygdala in a Rat Model of Chronic Neuropathic Pain. [PDF]

open access: yesCells
Presto P   +7 more
europepmc   +1 more source

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