منابع مشابه
q-ANALOGUES OF SAIGO’S FRACTIONAL CALCULUS OPERATORS
M. Saigo [Math. Rep. Coll. Gen. Educ., Kyushu Univ., 11 (1978) 135-143] has defined a pair of fractional integral operators and fractional derivatives involving generalizd hypergeometric function. The aim of present paper is to define their q-analogues. First, we define a pair of q-analogues of Saigo’s fractional integral operators and establish some results for it. Next, we define a pair of q-...
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An algorithm for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (DDEs) is presented. Recursion operators allow one to generate an infinite sequence of generalized symmetries. The existence of a recursion operator therefore guarantees the complete integrability of the DDE. The algorithm is based in part on the concept of dilation invari...
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ژورنال
عنوان ژورنال: Journal of Discrete Mathematics
سال: 2013
ISSN: 2090-9837,2090-9845
DOI: 10.1155/2013/487546