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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.

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