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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

Combined family-based association and linkage analyses in families affected by attention-deficit hyperactivity disorder. [PDF]

open access: yesHum Genet
Justice CM   +11 more
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Targeting immunometabolic pathways with AZD1656 alleviates inflammation and metabolic dysfunction in type 2 diabetic cardiomyopathy. [PDF]

open access: yesNat Cardiovasc Res
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Blood methylome signatures in children exposed to maternal type 1 diabetes are linked to protection against islet autoimmunity. [PDF]

open access: yesNat Metab
Ott R   +14 more
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Lamin A/C-regulated cysteine catabolic flux modulates stem cell fate through epigenome reprogramming. [PDF]

open access: yesNat Metab
Wang Y   +13 more
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Cell-specific DNA methylation in human alpha and beta cells regulates gene expression in type 2 diabetes. [PDF]

open access: yesNat Metab
Ofori JK   +17 more
europepmc   +1 more source

Cell-free chromatin state tracing reveals disease origin and therapy responses. [PDF]

open access: yesNature
Chen X   +30 more
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EHE cell cultures are a platform for mechanistic and therapeutic investigation. [PDF]

open access: yesSci Rep
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Host oxidative stress primes mycobacteria for rapid antibiotic resistance evolution. [PDF]

open access: yesNat Commun
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