Results 161 to 170 of about 2,027,289 (185)
Some of the next articles are maybe not open access.
Harmonic generalized functions in generalized function algebras
Monatshefte für Mathematik, 2009The analysis of properties of harmonic generalized functions within the framework of Colombeau theory is carried out. The authors present generalizations of the maximum principle and Liouville's theorem for harmonic generalized functions. The Dirichlet problem is solved by an application of the Poisson formula in the framework of generalized functions.
Pilipović, Stevan +1 more
openaire +1 more source
Generating Functions for Hermite Functions
Canadian Journal of Mathematics, 1959Hermite's function Hn(x) is denned for all complex values of x and n bywhere F (α; γ; x) is Kummer's function with the customary indices omitted. It satisfies the differential equation1.1of whichis a second solution. Every solution of (1.1) is an entire function.
openaire +2 more sources
Generating Functions for Ultraspherical Functions
Canadian Journal of Mathematics, 1968The ultraspherical function1.1for |1 — x| < 2 is a solution of the differential equation1.2This equation has two independent solutions; of the two, only Pn(λ)(x) is analytic at x = 1, aside for some special values of λ, which we shall not consider.
openaire +2 more sources
The expanding regulatory mechanisms and cellular functions of circular RNAs
Nature Reviews Molecular Cell Biology, 2020Ling-Ling Chen
exaly
Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
exaly
A framework for understanding the functions of biomolecular condensates across scales
Nature Reviews Molecular Cell Biology, 2020Michael K Rosen
exaly
Global view of human protein glycosylation pathways and functions
Nature Reviews Molecular Cell Biology, 2020Katrine T Schjoldager +2 more
exaly
Long non-coding RNAs: definitions, functions, challenges and recommendations
Nature Reviews Molecular Cell Biology, 2023John S Mattick +2 more
exaly