Bivariate Dimension Quasi-polynomials of Difference–Differential Field Extensions with Weighted Basic Operators
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DOI: 10.1007/s11786-018-0361-5
Abstract: We prove the existence and determine some invariants of a Hilbert-type bivariate quasi-polynomial associated with a difference–differential field extension with weighted basic derivations and translations. We also show that such a quasi-polynomial can be expressed… read more here.
Keywords: quasi polynomials; weighted basic; difference differential; differential field ... See more keywords
Growth of meromorphic solutions of certain types of q-difference differential equations
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DOI: 10.1186/s13662-017-1072-y
Abstract: In this paper, relying on Nevanlinna theory of the value distribution of meromorphic functions, we mainly study meromorphic solutions of certain types of q-difference differential equations, obtain estimates of the growth order of their meromorphic… read more here.
Keywords: difference; difference differential; types difference; meromorphic solutions ... See more keywords