BACK MATTER

The following sections are included:

• Appendix A: Classical Nevanlinna and Cartan theories

  • Classical Nevanlinna theory

  • Difference variant of Nevanlinna theory

  • Cartan's version of Nevanlinna theory

  • Difference variant of Cartan theory

• Appendix B: Introduction to ultra-discrete Painlevé equations

  • Painlevé equations

  • Integrability of Painlevé equations and integrability testing

  • Discrete Painlevé equations

  • Discrete Painlevé equations and integrability testing

  • Ultra-discrete Painlevé equations

  • Ultra-discrete Painlevé equations and integrability testing

  • Hypergeometric solutions to Painlevé equations

• Appendix C: Some operators in complex analysis

  • Logarithmic order and type

  • Some operators and related series expansions in complex analysis

    • The case of difference operator

    • The case of q-difference operator

• Bibliography

• Index