Have a personal or library account? Click to login
Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function Cover

Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

Open Access
|Feb 2017

References

  1. [1] A. W. Goodman, Univalent Functions, Vol. I, Mariner Publishing Company, Tampa, Florida, 1983.
  2. [2] N. E. Cho and S. Owa, On partial sums of certain meromorphic functions, J. Inequal. Pure Appl. Math. 5 (2) (2004), Article 30, 1-7.
  3. [3] F. Ghanim, A study of a certain subclass of Hurwitz-Lerch zeta function related to a linear operator, Abstr. Appl. Anal. 2013 (2013), Article ID 763756, 1-7.
  4. [4] F. Ghanim and M. Darus, New result of analytic functions related to Hurwitz-Zeta function, The Sci. World J. 2013 (2013), Article ID 475643, 1-5.
  5. [5] F. Ghanim and M. Darus, Partial sums of certain new subclasses for meromorphic functions, Far East J. Math. Sci. 55 (2011). 181-195.
  6. [6] R. W. Ibrahim and M. Darus, Partial sums for certain classes of meromorphic functions, Tamkang J. Math. 41 (2010), 39-49.10.5556/j.tkjm.41.2010.637
  7. [7] S. Latha and L. Shivarudrappa, Partial sum of meromorphic functions, J. Inequal. Pure Appl. Math. 7 (4) (2006), Article 140, 1-8.
  8. [8] E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
  9. [9] H. Silverman, Partial sums of starlike and convex functions, J. Math. Anal. Appl. 209 (1997), 221-227.10.1006/jmaa.1997.5361
  10. [10] R. Singh and S. Singh, Convolution properties of a class of starlike fuctions, Proc. Amer. Math. Soc. 106 (1989), 145-152.10.1090/S0002-9939-1989-0994388-6
  11. [11] H. M. Srivastava, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc. 129 (2000), 77-84.10.1017/S0305004100004412
  12. [12] H. M. Srivastava, Some generalizations and basic (or q-) extensions of the Bernoulli, Euler and Genocchi polynomials, Appl. Math. Inform. Sci. 5 (2011), 390-444.
  13. [13] H. M. Srivastava and J. Choi, Series Associated with Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston and London, 2001.10.1007/978-94-015-9672-5
  14. [14] H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Science Publishers, Amsterdam, London and New York, 2012.10.1016/B978-0-12-385218-2.00002-5
  15. [15] H. M. Srivastava, S. Gaboury and F. Ghanim, Certain subclasses of meromorphically univalent functions defined by a linear operator associated with the A-generalized Hurwitz-Lerch zeta function, Integral Transforms Spec. Fund. 26 (2015), 258-272.10.1080/10652469.2014.992592
  16. [16] H. M. Srivastava, S. Gaboury and F. Ghanim, Some further properties of a linear operator associated with the A-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions, Appl. Math. Comput. 259 (2015), 1019-1029.
  17. [17] H. M. Srivastava, S. Gaboury' and F. Ghanim, A study of meromorphically univalent functions defined by a linear operator associated with the A-generalized Hurwitz-Lerch zeta function, Preprint (2015), 1-12.
  18. [18] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halstcd Press (Ellis Horwoord Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1984.
  19. [19] S.-M. Yuan, Z.-M. Liu and H. M. Srivastava, Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl. 337 (2008), 505-515.10.1016/j.jmaa.2007.04.018
  20. [20] Z.-G. Wang, H. M. Srivastava and S.-M. Yuan, Some basic properties of certain subclasses of meromorphically starlike functions, J. Inequal. Appl. 2014 (2014), Article ID 2014:29, 1-12.
  21. [21] W. Rogosinski and G. Szegö, Über die abschimlte von potenzreihen die in ernein kreise be schran- ket bleiben, Math. Zeitschr. 28 (1928), 73-94.10.1007/BF01181146
Language: English
Page range: 38 - 50
Submitted on: Apr 15, 2015
Accepted on: Jun 25, 2015
Published on: Feb 4, 2017
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 H. M. Srivastava, S. Gaboury, F. Ghanim, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.