applicable analysis and discrete mathematics 1 2007 311 323 available electronically at http pefmath etf bg ac yu presented at the conference topics in mathematical analysis and graph theory belgrade ...
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...Applicable analysis and discrete mathematics available electronically at http pefmath etf bg ac yu presented the conference topics in mathematical graph theory belgrade september fractionalintegralsand derivatives q calculus predrag m rajkovi c sladana d marinkovi miomir s stankovi we generalize notions of fractional integral derivative by introducing variable lower limit integration discuss some properties their relations finally give a taylor like formula which includes function introduction see for real parameter r n introduce number qa analog pochhammer symbol shifted factorial is dened k i aq also power b bq there following relationship between them subject classication key words phrases basic hypergeometric functions calcu lus natural expansions to reals are notice that formulas example will be useful x gamma qx where rn obviously wecan dene binomial coecients with particularly as famous heine transformation abx wedene f dqf lim integrals higher order dq an arbitrary pair u v con...