000 01368nmm a2200181Ia 4500
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020 _a9780821876640 (online)
100 _aCholewinski, Frank M.
245 4 _aThe finite calculus associated with Bessel functions
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc1988
300 _a1 online resource (xi, 122 p.)
490 _aContemporary mathematics
_vv. 75
_x10983627
504 _aBibliography: p. 120122.
505 _t1. 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
650 _aBessel functions
650 _aCalculus
856 _uhttp://www.ams.org/conm/075/
999 _c28490
_d28490