On the summability of formal solutions of some linear q-difference-differential equations
Hidetoshi Tahara
TL;DR
This paper demonstrates that formal solutions to certain linear q-difference-differential equations can be summed using q-Laplace and q-Borel methods, establishing their summability.
Contribution
It introduces a method to prove the summability of formal solutions for specific linear q-difference-differential equations using q-Laplace and q-Borel summation techniques.
Findings
Formal solutions are summable via q-Laplace and q-Borel methods.
The approach applies to a class of linear q-difference-differential equations.
Summability results extend the understanding of solutions' behavior in q-calculus.
Abstract
The paper shows the summability of formal solutions of some linear q-difference-differential equations by using q-Laplace and q-Borel summation method.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Numerical Analysis Techniques · Polynomial and algebraic computation