Partial q-analogues of the Pfaff/Cauchy derivative formula |
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| Authors: | Peipei Tang De-Yin Zheng |
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| Institution: | 1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, P.R. China
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| Abstract: | The Pfaff/Cauchy derivative identities are generalizations of Leibniz formula for the nth derivative of a product of two functions. In this paper, we first derive three generalized forms of the q-Leibniz formula. The results are also partial q-analogues of the Pfaff/Cauchy derivative formulae. Then we give some applications and several q-identities are obtained. |
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