Linear q-difference equations

    Authors

    M. H. Abu Risha; M. H. Annaby; M. E. H. Ismail;Z. S. Mansour

    Comments

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    Abbreviated Journal Title

    Z. Anal. ihre. Anwend.

    Keywords

    q-difference equations; q-Wronskian; q-type Liouville's formula; BESSEL-FUNCTIONS; POLYNOMIALS; ANALOG; ZEROS; Mathematics, Applied; Mathematics

    Abstract

    We 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.

    Journal Title

    Zeitschrift Fur Analysis Und Ihre Anwendungen

    Volume

    26

    Issue/Number

    4

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    481

    Last Page

    494

    WOS Identifier

    WOS:000252329100009

    ISSN

    0232-2064

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