Generalized Mittag-Leffler Function and Its Properties

Volume: 3 Number: 1 December 22, 2014
  • Banu Yılmaz Yaşar
EN

Generalized Mittag-Leffler Function and Its Properties

Abstract

Recently, Srivastava, C¸ etinkaya and Kıymaz [18] defined the generalized Pochhammer symbol and obtained some relations.In this paper, we define the generalized Mittag-Leffler function via the generalized Pochammer symbol and present some recurrencerelation, derivative properties, integral representation. Moreover, we obtain a relation between wright hypergeometric function and thegeneralized Mittag-Leffler function

Keywords

References

  1. Agarwal, R. P: A propos d’ une note de M. Pierre Humbert, Comptes Rendus de l’ Academie des Sciences, vol. 236, pp. 203-2032, 1953.
  2. Chaudhry M.A, Srivastava H.M, Paris R.B : Extended hypergeometric and confluent hypergeometric functions, Applied Mathematics and Computation, 159 (2004) 589-602.
  3. Chaudhry M.A, Zubair, S.M: On a Class of Incomplete Gamma Functions with Applications. Haubold H. J., Mathai A. M., and Saxena R. K: Mittag-Leffler Functions and Their Applications, Journal of Applied Mathematics, Vol 2011, 51 pages.
  4. Humbert P. and Agarwal, R. P : Sur la fonction de Mittag-Leffler et quelques unes de ses generalizations, Bulletin of Science and Mathematics Series II, vol. 77, pp.180-185, 1953.
  5. Kurulay M, Bayram M: Some properties of the Mittag-Leffler functions and their relation with the Wright function, Advance Difference Equations 2012, 2012:178.
  6. Mittag-Leffler, G. M: Une generalisation de l’ integrale de Laplace-Abel, Comptes Rendus de l’ Academie des Sciences Serie II, vol. 137, pp. 537-539, 1903.
  7. Mittag-Leffler,G. M: Sur la nouvelle fonction Eα(x),Comptes Rendus de l’ Academie des Sciences, vol. 137, pp. 554-558, 1903.
  8. Mittag-Leffler, G. M, Mittag-Leffler, Sur la representation analytiqie d’une fonction monogene (cinquieme note), Acta Mathematica, vol. 29, no. 1, pp. 101-181, 1905.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Banu Yılmaz Yaşar This is me

Publication Date

December 22, 2014

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

APA
Yaşar, B. Y. (2014). Generalized Mittag-Leffler Function and Its Properties. New Trends in Mathematical Sciences, 3(1), 12-18. https://izlik.org/JA35FT38AB
AMA
1.Yaşar B Y. Generalized Mittag-Leffler Function and Its Properties. New Trends in Mathematical Sciences. 2014;3(1):12-18. https://izlik.org/JA35FT38AB
Chicago
Yaşar, Banu Yılmaz. 2014. “Generalized Mittag-Leffler Function and Its Properties”. New Trends in Mathematical Sciences 3 (1): 12-18. https://izlik.org/JA35FT38AB.
EndNote
Yaşar B Y (December 1, 2014) Generalized Mittag-Leffler Function and Its Properties. New Trends in Mathematical Sciences 3 1 12–18.
IEEE
[1]B. Y. Yaşar, “Generalized Mittag-Leffler Function and Its Properties”, New Trends in Mathematical Sciences, vol. 3, no. 1, pp. 12–18, Dec. 2014, [Online]. Available: https://izlik.org/JA35FT38AB
ISNAD
Yaşar, Banu Yılmaz. “Generalized Mittag-Leffler Function and Its Properties”. New Trends in Mathematical Sciences 3/1 (December 1, 2014): 12-18. https://izlik.org/JA35FT38AB.
JAMA
1.Yaşar B Y. Generalized Mittag-Leffler Function and Its Properties. New Trends in Mathematical Sciences. 2014;3:12–18.
MLA
Yaşar, Banu Yılmaz. “Generalized Mittag-Leffler Function and Its Properties”. New Trends in Mathematical Sciences, vol. 3, no. 1, Dec. 2014, pp. 12-18, https://izlik.org/JA35FT38AB.
Vancouver
1.Banu Yılmaz Yaşar. Generalized Mittag-Leffler Function and Its Properties. New Trends in Mathematical Sciences [Internet]. 2014 Dec. 1;3(1):12-8. Available from: https://izlik.org/JA35FT38AB