Finite Calculus Associated with Bessel Functions

Finite Calculus Associated with Bessel Functions

by Cholewinski, Frank M.

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Title Statements

  • Full title :Finite Calculus Associated with Bessel Functions.

Edition Statements

  • Publication Date:1988.

Publication Statements

The Physical Object

  • Description:1 online resource (136 pages)

Edition Identifiers

  • ISBN:0821850830, 9780821850831, 9780821876640, 0821876643
  • oclc:ocn990686150
  • LC Classification:QA408 ǂb C56 1988eb
  • Dewey Decimal:515/.53

Table of Contents

Contents -- 1. Introduction -- 2. Definitions and Preliminary Results -- 3. The v-Umbral Algebra -- 4. The v-Umbral Field -- 5. The Group of v-Delta Functionals Under Composition -- 6. Generalized Binomial Polynomial Sequences -- 7. The Composition of Polynomial Sequences -- 8. Compositions of Molebius Delta Functionals -- 9. Generalized Shift Invariant Operators -- 10. The Generalized Derivative of v-Shift Invariant Operators -- 11. Generalized Sheffer Polynomials -- 12. Cross Sets of Polynomials -- 13. A Class of Laguerre Type Polynomials

14. The Generalized Heat Polynomials15. 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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