Certain results involving a class of functions associated with the Hurwitz zeta function.
Raina, R.K., Chhajed, P.K. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Hurwitz analysis: basic concepts and connection with Clifford analysis”
Certain results involving a class of functions associated with the Hurwitz zeta function.
Analytic and combinatoric aspects of Hurwitz polyzêtas
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In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to...
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