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http://dx.doi.org/10.5666/KMJ.2010.50.2.237

A New Class of Hermite-Konhauser Polynomials together with Differential Equations  

Bin-Saad, Maged Gumaan (Department of Mathematics, Aden University)
Publication Information
Kyungpook Mathematical Journal / v.50, no.2, 2010 , pp. 237-253 More about this Journal
Abstract
It is shown that an appropriate combination of methods, relevant to operational calculus and to special functions, can be a very useful tool to establish and treat a new class of Hermite and Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Hermite and Konhauser polynomials and discuss the links with various known polynomials.
Keywords
Hermite polynomials; Laguerre polynomials; Konhauser polynomials; exponential operators; operational identities; monomiality principle;
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