A Contribution to the Theory of Linear Homogeneous Geometric Difference Equations (Q-Difference Equations) (Classic Reprint) - Hardcover

Folke Ryde

 
9780484224918: A Contribution to the Theory of Linear Homogeneous Geometric Difference Equations (Q-Difference Equations) (Classic Reprint)

Synopsis

A rigorous study of geometric factorial series and q-difference equations, this work develops methods to construct and analyze solutions to linear homogeneous equations in a multiplicatively scaled setting.

It surveys main properties, proves existence and linear independence of solution systems, and links the results to classical theories in the field.

  • Learn how geometric factorial series are defined, convergent, and represented in holomorphic form.
  • See how a fundamental system of solutions is built and shown to be linearly independent.
  • Explore the asymptotic behavior and analytic character of solutions, including connections to known results by Frobenius, Norlund, and Heine.
  • Discover applications to particular equations and how these methods relate to q-calculus and related differential analogues.
Ideal for readers of advanced mathematics and researchers in difference equations and special functions.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title