A Determinant Expression for the Generalized Bessel Polynomials
نویسندگان
چکیده
منابع مشابه
The Generalized Bessel Matrix Polynomials
Abstract.In this paper, the generalized Bessel matrix polynomials are introduced, starting from the hypergeometric matrix function. Integral form, Rodrigues’s formula and generating matrix function are then developed for the generalized Bessel matrix polynomials. These polynomials appear as finite series solutions of second-order matrix differential equations and orthogonality property for the ...
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The Bessel polynomials are the unique polynomial solutions, with constant equal to 1, of the differential equation xy ′′ (x) + (2x+ 2)y ′ (x) − n(n+ 1)y(x) = 0 (1) They are important in certain problems of mathematical physic, for example they arise in the study of electrical networks and when the wave equation is considered on spherical coordinates. Many application may be found in [7]. In rec...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/242815