Author | Boas, Ralph P. author |
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Title | Polynomial Expansions of Analytic Functions [electronic resource] / by Ralph P. Boas, R. Creighton Buck |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1958 |
Connect to | http://dx.doi.org/10.1007/978-3-642-87887-9 |
Descript | online resource |
I. Introduction -- ยง 1. Generalities -- ยง 2. Representation formulas with a kernel -- ยง 3. The method of kernel expansion -- ยง 4. Lidstone series -- ยง 5. A set of Laguerre polynomials -- ยง 6. Generalized Appell polynomials -- II. Representation of entire functions -- ยง 7. General theory -- ยง 8. Multiple expansions -- ยง 9. Appell polynomials -- ยง 10. Sheffer polynomials -- ยง 11. More general polynomials -- ยง 12. Polynomials not in generalized Appell form -- III. Representation of functions that are regular at the origin -- ยง 13. Integral representations -- ยง 14. Brenke polynomials -- ยง 15. More general polynomials -- ยง 16. Polynomials generated by A(?) (1 - zg(?))-? -- ยง 17. Special hypergeometric polynomials -- ยง 18. Polynomials not in generalized Appell form -- IV. Applications -- ยง 19. Uniqueness theorems -- ยง 20. Functional equations