Bessel polynomial expansions in spaces of holomorphic functions

DOI10.1006/jmaa.1997.5840zbMath0913.46003OpenAlexW2036899117MaRDI QIDQ1269570

M. A. Abul-Ez

Publication date: 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5840

zbMATH Keywords

spaces of holomorphic functionsBessel polynomialspolynomial basisnuclear power series spacesbasis criterionbasis transformeffective basis

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Related Items

Further study on the conformable fractional Gauss hypergeometric function, Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases, Approximation of functions by complex conformable derivative bases in Fréchet spaces, Criteria in nuclear Fréchet spaces and Silva spaces with refinement of the Cannon-Whittaker theory, Basic sets of special monogenic polynomials in Fréchet modules, Further developments of Bessel functions via conformable calculus with applications, Further results on the inverse base of axially monogenic polynomials, Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties, Bernoulli and Euler polynomials in Clifford analysis

Cites Work

• The structure of nuclear Frechet spaces
• Abel-Gončarov Polynomial Expansions in Spaces of Holomorphic Functions
• Complete biorthogonal systems in nuclear (F) - spaces
• On the Convergence of Series of Polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Note on the Bessel Polynomials
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