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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Simplifying Coefficients In A Family Of Ordinary Differential Equations Related To The Generating Function Of The Laguerre Polynomials, Feng Qi
Applications and Applied Mathematics: An International Journal (AAM)
In the paper, by virtue of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials.
Generalized Sylvester Polynomials Of In Several Variables, Nejla Özmen, Sule Soytürk
Generalized Sylvester Polynomials Of In Several Variables, Nejla Özmen, Sule Soytürk
Applications and Applied Mathematics: An International Journal (AAM)
This study deals with some new properties for the Generalized Sylvester polynomials in several variables. Some properties of these polynomials were given. We also derive an application giving certain families of bilateral generating functions for the Generalized Sylvester polynomials in several variables. At the end, we discuss some special cases.