Riemann problem of (λ, k) bi-analytic functions

Abstract

A kind of Riemann problem of $(\lambda ,k)$ bi-analytic functions are studied by using the theory of boundary value problems for analytic functions. The solutions of Riemann problem of $(\lambda ,k)$ bi-analytic function are obtained. The conclusion may be applied to the quasi-static system of thermoelasticity.

Keywords:

• Stress–strain relations
• riemann boundary value problem
• singular integral equation
• $(\lambda ,k)$ bi-analytic function

MR (2010) Subject Classifications:

• 30E20
• 30E25
• 74B05

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the Training Program of FETU, Natural Science Foundation of Fujian Province [grant number #2020J01322].