Author | Rubel, Lee A. author |
---|---|
Title | Entire and Meromorphic Functions [electronic resource] / by Lee A. Rubel, James E. Colliander |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0735-1 |
Descript | VIII, 188 p. 1 illus. online resource |
1. Introduction -- 2. The Riemann-Stieltjes Integral -- 3. Jensenโs Theorem and Applications -- 4. The First Fundamental Theorem of Nevanlinna Theory -- 5. Elementary Properties of T(r,f) -- 6. The Cartan Formulation of the Characteristic -- 7. The Poisson-Jensen Formula -- 8. Applications of T(r) -- 9. A Lemma of Borel and Some Applications -- 10. The Maximum Term of an Entire Function -- 11. Relation Between the Growth of an Entire Function and the Size of Its Taylor Coefficients -- 12. Carlemanโs Theorem -- 13. A Fourier Series Method -- 14. The Miles-Rubel-Taylor Theorem on Quotient Representations of Meromorphic Functions -- 15. Canonical Products -- 16. Formal Power Series -- 17. Picardโs Theorem and the Second Fundamental Theorem -- 18. A Proof of the Second Fundamental Theorem -- 19. โTwo Constantโ Theorems and the Phragmรฉn-Lindelรถf Theorems -- 20. The Pรณlya Representation Theorem -- 21. Integer-Valued Entire Functions -- 22. On Small Entire Functions of Exponential-Type with Given Zeros -- 23. The First-Order Theory of the Ring of All Entire Functions -- 24. Identities of Exponential Functions -- References