Add to ORKGWe prove that a linear q-difference equation of order n has a fundamental set of n-linearly independent solutions. A q-type Wronskian is derived for the nth order case extending the results of Swarttouw-Meijer (1994) in the regular case. Fundamental systems of solutions are constructed for the n-th order linear q-difference equation with constant coefficients. A basic analog of the method of variation of parameters is established. © European Mathematical Society
A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthog...
While difference equations deal with discrete calculus and differential equations with continuous ca...
AbstractBy solving an infinite nonlinear system of q-difference equations one constructs a chain of ...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
: A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding...
In this article, we construct explicit meromorphic solutions of first order linear q-difference equa...
In this paper we study the qualitative properties and the periodic nature of the solutions of the di...
The content of this paper was previously included in arXiv:1002.4839International audienceWe establi...
Abstract We present some interesting facts connected with the following second-order difference equa...
In this article an algorithm is presented for computing a standard form for second order linear q-di...
AbstractIn this article an algorithm is presented for computing a standard form for second order lin...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
We introduce basic concepts of q-nonuniform differentiation and integration and study linear q-nonun...
AbstractThe existence and uniqueness of solutions of the linear q-difference equation y(x) = ay(qx) ...
A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthog...
While difference equations deal with discrete calculus and differential equations with continuous ca...
AbstractBy solving an infinite nonlinear system of q-difference equations one constructs a chain of ...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
: A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding...
In this article, we construct explicit meromorphic solutions of first order linear q-difference equa...
In this paper we study the qualitative properties and the periodic nature of the solutions of the di...
The content of this paper was previously included in arXiv:1002.4839International audienceWe establi...
Abstract We present some interesting facts connected with the following second-order difference equa...
In this article an algorithm is presented for computing a standard form for second order linear q-di...
AbstractIn this article an algorithm is presented for computing a standard form for second order lin...
summary:The paper can be understood as a completion of the $q$-Karamata theory along with a related ...
In the paper sufficient conditions for the difference equation r qx = iCLn X n+i i=o to have a solut...
We introduce basic concepts of q-nonuniform differentiation and integration and study linear q-nonun...
AbstractThe existence and uniqueness of solutions of the linear q-difference equation y(x) = ay(qx) ...
A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthog...
While difference equations deal with discrete calculus and differential equations with continuous ca...
AbstractBy solving an infinite nonlinear system of q-difference equations one constructs a chain of ...