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Surveys in Mathematics and its Applications ISSN 1842 6298 electronic 1843 7265 print Volume 4 2009 133 138 ON A RECURRENCE RELATION OF GENERALIZED MITTAG LEFFLER FUNCTION Ajay K Shukla and Jyotindra C Prajapati Abstract The principal aim of this paper is to investigate a recurrence relation and an integral q representation of generalized Mittag Leffler function E z In the end several special cases have also been discussed Full text References 1 I S Gupta and L Debnath Some properties of the Mittag Leffler functions Integral Trans Spec Funct No 18 5 2007 329 336 MR2326071 2008f 33029 Zbl 1118 33011 2 G M Mittag Leffler Sur la nouvelle fonction E x C R Acad Sci Paris No 137 1903 554 558 3 T R Prabhakar A singular integral equation with a generalized MittagLeffler function in the Kernel Yokohama Math J No 19 1971 7 15 MR0293349 45 2426 Zbl 0221 45003 4 E D Rainville Special Functions The Macmillan Company New York 1960 MR0107725 21 6447 Zbl 0092 06503 5 A K Shukla and J C Prajapati On a generalization of Mittag Leffler function and its properties J Math Anal Appl No 336 2007 797 811 MR2352981 2008m 33055 Zbl 1122 33017 6 A Wiman Uber de fundamental satz in der theorie der funktionen E x Acta Math No 29 1905 191 201 MR1555014 JFM 36 0471 01 2000 Mathematics Subject Classification Primary 33E12 Secondary 33B15 Keywords Generalized Mittag Leffler function Recurrence relation Wiman s function http www utgjiu ro math sma 2 A K Shukla and J C Prajapati Ajay K Shukla Jyotindra C Prajapati Department of Mathematics Department of Mathematics S V National Institute of Technology Faculty of Technology and Engineering Surat 395 007 India Charotar University of Science and Technology e mail ajayshukla2 rediffmail com Changa Anand 388 421 India e mail jyotindra18 rediffmail com Surveys in Mathematics and its Applications 4 2009 132 138 http www utgjiu ro math sma






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