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New classes of Hermite–Tricomi functions and generating relations
-
Ahmed A. Al-Gonah
and
Subuhi Khan
Published/Copyright:
March 1, 2014
Abstract.
In this paper, new and general classes of multi-variable Hermite–Tricomi functions are introduced and some properties of these functions are established. Further, generating relations for Laguerre–Hermite polynomials involving various forms of Hermite–Tricomi functions are derived.
Keywords: Hermite–Tricomi functions; generating relations; Laguerre–Hermite polynomials; operational methods
Dr. Ahmed Ali Al-Gonah thanks very much Dr. Subuhi Khan, the principal author of the present paper, for her kind service as correspondent author of it.
Received: 2012-08-16
Accepted: 2013-09-24
Published Online: 2014-03-01
Published in Print: 2014-03-01
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
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- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
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Keywords for this article
Hermite–Tricomi functions;
generating relations;
Laguerre–Hermite polynomials;
operational methods
Articles in the same Issue
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
