On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications

Volumn 336, Issue 2, 2007, Pages 797-811

  Shukla, A K ^a   Prajapati, J C ^a  

^a SARDAR VALLABHBHAI NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Confluent hypergeometric function; Euler transform; Fox H function; Laplace transform; Mellin transform; Mittag Leffler function; Whittaker transform; Wiman's function; Wright hypergeometric function

Indexed keywords

EID: 34548078160     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.03.018     Document Type: Article

References (12)

1. Carlitz L. Some expansion and convolution formulas related to Mac Mohan's master theorems. SIAM J. Math. Anal. 8 2 (1977) 320-336
2. Gorenflo R., Kilbas A.A., and Rogosin S.V. On the generalised Mittag-Leffler type function. Integral Transforms Spec. Funct. 7 (1998) 215-224
3. Gorenflo R., and Mainardi F. On Mittag-Leffler function in fractional evaluation processes. J. Comput. Appl. Math. 118 (2000) 283-299
4. Kilbas A.A., and Saigo M. On Mittag-Leffler type function, fractional calculus operators and solution of integral equations. Integral Transforms Spec. Funct. 4 (1996) 355-370
5. Kilbas A.A., Saigo M., and Saxena R.K. Generalised Mittag-Leffler function and generalised fractional calculus operators. Integral Transforms Spec. Funct. 15 (2004) 31-49
6. α (x). C. R. Acad. Sci. Paris 137 (1903) 554-558
7. Prabhakar T.R. A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama Math. J. 19 (1971) 7-15
8. Rainville E.D. Special Functions (1960), Macmillan, New York
9. Saigo M., and Kilbas A.A. On Mittag-Leffler type function and applications. Integral Transforms Spec. Funct. 7 (1998) 97-112
10. Sneddon I.N. The Use of Integral Transforms (1979), Tata McGraw-Hill, New Delhi
11. Srivastava H.M., and Manocha H.L. A Treatise on Generating Functions (1984), John Wiley and Sons/Ellis Horwood, New York/Chichester
12. α (x). Acta Math. 29 (1905) 191-201