TY - BOOK AU - Cholewinski,Frank M. TI - The finite calculus associated with Bessel functions T2 - Contemporary mathematics, SN - 9780821876640 (online) AV - QA408 .C56 1988 U1 - 515/.53 19 PY - 1988/// CY - Providence, R.I. PB - American Mathematical Society KW - Bessel functions KW - Calculus N1 - 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/conm/075/ UR - http://dx.doi.org/10.1090/conm/075 ER -