【摘 要】
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Melham conjectured two identities between Fibonacci and Lucas numbers in 1999.Subsequently, Kilic et al.showed them in 2010 by contour integration.In this paper
【机 构】
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DepartmentofMathematics,ZhoukouNormalUniversity,Zhoukou466001,China
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Melham conjectured two identities between Fibonacci and Lucas numbers in 1999.Subsequently, Kilic et al.showed them in 2010 by contour integration.In this paper we present a new proof using the q-derivative operator.By examining two rational functions, we further derive several identities concerning Fibonomial coefficients.Finally,two well-known summation formulae on q-series are transformed into convolution formulae on Fibonomial coefficients.
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