9 resultados para Laguerre and Hermite functions of second kind

em Bulgarian Digital Mathematics Library at IMI-BAS


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2000 Mathematics Subject Classification: 47A10, 47A13.

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Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09

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*Supported by the Grants AV ˇCR 101-97-02, 101-90-03, GA ˇCR 201-98-1449, and by the Grant of the Faculty of Civil Engineering of the Czech Technical University No. 2003.

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In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.

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* The work is supported by RFBR, grant 04-01-00858-a.

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Mathematics Subject Classification: 44A40, 45B05

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2010 Mathematics Subject Classification: Primary 35J70; Secondary 35J15, 35D05.

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AMS Subj. Classification: 30C45

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2000 Mathematics Subject Classification: 39A10.