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609  Articles
1 of 62 pages  |  10  records  |  more records»
In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials F_{n}^{(a)}(x,?) of degree n and order a introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Be... see more

We discuss the theory of multivariable multiindex Bessel functions (B.F.) and Hermite polynomials (H.P.) using the generating function method. We derive addition and multiplication theorems and discuss how generalized H.P. can be exploited as a useful com... see more

In this paper, we introduce a new class of generalized  polynomials associated with  the modified Milne-Thomson's polynomials F_{n}^{(a)}(x,?) of degree n and order a introduced by  Derre and Simsek.The concepts of Bernoulli numbers B_n, Be... see more

We discuss the theory of multivariable multiindex Bessel functions (B.F.) and Hermite polynomials (H.P.) using the generating function method. We derive addition and multiplication theorems and discuss how generalized H.P. can be exploited as a useful com... see more

The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials. In this article we show a general technique to extend themonomiality approac... see more

The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials. In this article we show a general technique to extend themonomiality approac... see more

We apply a general algebraic operational method to obtain solutions of ordinary differential equations.  The solutions are expressed as series of scaled  Hermite  polynomials.  We present some examples that show that the solutions obta... see more

In this paper, we consider the raising operator R? = ? Tµ + xI, ? ?= 0, where Tµ and I are the Dunkl operator and the identity operator respec- tively. Our purpose is to determine all monic orthogonal polynomials se- quences {Pn(x)}n=0 such that the seque... see more

Exact inequalities of Jackson's type, connected with the best approximation of functions by algebraic polynomials, have been obtained in the space L2,?(R)L_{2,\rho}(\mathbb{R}) at the Chebyshev-Hermite weight.

1 of 62 pages  |  10  records  |  more records»