In differential equations, the mth-degree caloric polynomial (or heat polynomial) is a "parabolically m-homogeneous" polynomial Pm(x, t) that… (More)

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2015

2015

- Francisco Marcellán, W. A. Al-Salam, Mourad E. H. Ismail, Tom Koornwinder, W. G. Morris
- 2015

Two classes of generalized discrete q-Hermite polynomials are constructed. Several properties of these polynomials, and an… (More)

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2015

2015

The object of the present paper is to investigate several general families of bilinear and bilateral generating functions with… (More)

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2011

2011

- C. Vignat
- 2011

In this paper, we show that the sum rules for generalized Hermite polynomials derived by Daboul and Mizrahi (2005 J. Phys. A… (More)

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2010

2010

- David L. Barrow
- 2010

Let C = {(x(s), t(s)): a < i < b} be a Jordan arc in the x-t plane satisfying (x(a), f(a)) = (a, f.), (x(b), t(b)) = (b, f… (More)

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2010

2010

- David L. Barrow
- 2010

This paper simplifies and generalizes an earlier result of the author's on Gauss interpolation formulas for the one-dimensional… (More)

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2007

2007

- AKRAM NEMRI
- 2007

Abstract. In this paper we give the q-analogue of the higher-order Bessel operators studied by M. I. Klyuchantsev [12] and A… (More)

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2006

2006

- Gina Dattoli, Daniel Levi
- 2006

We show that the umbral correspondence between differential equations can be achieved by means of a suitable transformation… (More)

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2004

2004

- Lokenath Debnath
- 2004

This paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell… (More)

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2004

2004

The monomiality principle was introduced (see e.g. [1] and the references therein) in order to derive properties of special… (More)

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2000

2000

- Peter Johansen, Mads Nielsen, Ole Fogh Olsen
- Journal of Mathematical Imaging and Vision
- 2000

Scale space analysis combines global and local analysis in a single methodology by simplifying a signal. The simplification is… (More)

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