Displaying similar documents to “Riemann-Liouville fractional derivative with varying arguments”

Analytic and combinatoric aspects of Hurwitz polyzêtas

Jean-Yves Enjalbert, Hoang Ngoc Minh (2007)

Journal de Théorie des Nombres de Bordeaux

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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...

On new subclass of analytic functions with respect to symmetric points

Firas Ghanim, Maslina Darus (2009)

Archivum Mathematicum

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In the present paper, we obtain coefficient estimates for new subclass of analytic functions with respect to symmetric points. A sufficient condition for a function to belong to this class of function is also obtained.