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Some Families of Generating Functions for the Bessel and Related Functions
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G. Dattoli
Veröffentlicht/Copyright:
4. März 2010
Abstract
The authors apply a certain novel technique based on the combined use of operational methods and of some special multivariable and multiindex polynomials to derive several families of generating functions involving the products of Bessel and related functions. The possibility of extending this technique to the derivation of generating functions of hybrid nature (involving, for example, the product of a Bessel function and Laguerre polynomials) is also investigated.
Key Words and Phrases.: Generating functions; Bessel and related functions; Laguerre polynomials; Hermite–Kampé de Fériet polynomials; operational methods; special functions and polynomials
Received: 2004-11-07
Revised: 2004-01-12
Published Online: 2010-03-04
Published in Print: 2004-June
© Heldermann Verlag
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Artikel in diesem Heft
- Maximal Subgroups of Some Classes of Semigroups of Binary Relations
- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
- The Existence of Solutions for a Semilinear Abstract Dirichlet Problem
- Noncommutative Symplectic Foliation, Bott Connection and Phase Space Reduction
- Karoubi–Villamayor K-Theory, Weakly Stable C*-Categoroids, and KK-Theory
- On Absolutely Nonmeasurable Additive Functions
- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
- On an Initial-Boundary Value Problem for a Fourth Order Composite Equation with Bilaplacian
- An Application of Independent Families of Sets to the Measure Extension Problem
- Oscillation Results for Second Order Self-Adjoint Matrix Differential Systems
Schlagwörter für diesen Artikel
Generating functions;
Bessel and related functions;
Laguerre polynomials;
Hermite–Kampé de Fériet polynomials;
operational methods;
special functions and polynomials
Artikel in diesem Heft
- Maximal Subgroups of Some Classes of Semigroups of Binary Relations
- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
- The Existence of Solutions for a Semilinear Abstract Dirichlet Problem
- Noncommutative Symplectic Foliation, Bott Connection and Phase Space Reduction
- Karoubi–Villamayor K-Theory, Weakly Stable C*-Categoroids, and KK-Theory
- On Absolutely Nonmeasurable Additive Functions
- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
- On an Initial-Boundary Value Problem for a Fourth Order Composite Equation with Bilaplacian
- An Application of Independent Families of Sets to the Measure Extension Problem
- Oscillation Results for Second Order Self-Adjoint Matrix Differential Systems
