The finite calculus associated with Bessel functions

By: Cholewinski, Frank MMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 75Publication details: Providence, R.I. : American Mathematical Society, c1988Description: 1 online resource (xi, 122 p.)ISBN: 9780821876640 (online)Subject(s): Bessel functions | CalculusOnline resources: Click here to access online
Contents:
1. Introduction ; 2. Definitions and Preliminary Results ; 3. The vUmbral Algebra ; 4. The vUmbral Field ; 5. The Group of vDelta Functionals Under Composition ; 6. Generalized Binomial Polynomial Sequences ; 7. The Composition of Polynomial Sequences ; 8. Compositions of Moebius Delta Functionals ; 9. Generalized Shift Invariant Operators ; 10. The Generalized Derivative of vShift Invariant Operators ; 11. Generalized Sheffer Polynomials ; 12. Cross Sets of Polynomials ; 13. A Class of Laguerre Type Polynomials ; 14. The Generalized Heat Polynomials ; 15. A Primitive Integral for the Euler Operator ; 16. Bernoulli Type Polynomials and Numbers ; 17. Generalized Euler Polynomials and Numbers ; 18. Generalized Stirling Numbers and Factor Polynomials ; Bibliography
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Bibliography: p. 120122.

1. Introduction ; 2. Definitions and Preliminary Results ; 3. The vUmbral Algebra ; 4. The vUmbral Field ; 5. The Group of vDelta Functionals Under Composition ; 6. Generalized Binomial Polynomial Sequences ; 7. The Composition of Polynomial Sequences ; 8. Compositions of Moebius Delta Functionals ; 9. Generalized Shift Invariant Operators ; 10. The Generalized Derivative of vShift Invariant Operators ; 11. Generalized Sheffer Polynomials ; 12. Cross Sets of Polynomials ; 13. A Class of Laguerre Type Polynomials ; 14. The Generalized Heat Polynomials ; 15. A Primitive Integral for the Euler Operator ; 16. Bernoulli Type Polynomials and Numbers ; 17. Generalized Euler Polynomials and Numbers ; 18. Generalized Stirling Numbers and Factor Polynomials ; Bibliography

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