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Cholewinski, Frank M.

The finite calculus associated with Bessel functions / [electronic resource] Frank M. Cholewinski. - Providence, R.I. : American Mathematical Society, c1988. - 1 online resource (xi, 122 p.) - Contemporary mathematics, v. 75 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 75. .

Bibliography: p. 120-122.

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 Moebius 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 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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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9780821876640 (online)

Subjects--Topical Terms:
Bessel functions.
Calculus.

LC Class. No.: QA408 / .C56 1988

Dewey Class. No.: 515/.53