221
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Some properties of the generalized Srivastava–Attiya operator

, &
Pages 223-236 | Received 07 Oct 2010, Accepted 22 Apr 2011, Published online: 13 Jun 2011

References

  • Al-Shaqsi , K. and Darus , M. 2009 . On certain subclasses of analytic functions defined by a multiplier transformation with two parameters . Appl. Math. Sci. , 3 : 1799 – 1810 .
  • Bulboaca , T. 2002 . Classes of first-order differential superordinations . Demonstratio Math. , 35 : 287 – 292 .
  • Cho , N. E. , Kim , I. H. and Srivastava , H. M. 2010 . Sandwich-type theorems for multivalent functions associated with the Srivastava–Attiya operator . Appl. Math. Comput. , 217 : 918 – 928 .
  • Cho , N. E. , Kwon , O. S. and Srivastava , H. M. 2010 . Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu–Srivastava operator . Integral Transforms Spec. Funct. , 21 : 589 – 601 .
  • Cho , N. E. , Nishiwaki , J. , Owa , S. and Srivastava , H. M. 2010 . Subordination and superordination for multivalent functions associated with a class of fractional differintegral operators . Integral Transforms Spec. Funct. , 21 : 243 – 258 .
  • Elrifai , E. A. , Darwish , H. E. and Ahmed , A. R. 2010 . Some applications of Srivastava–Attiya operator to p-valent starlike functions . J. Inequal. Appl. , 2010 : 1 – 11 . Article ID 790730
  • Ibrahim , R. W. and Darus , M. 2008 . Subordination and superordination for univalent solutions for fractional differential equations . J. Math. Anal. Appl. , 345 : 871 – 879 .
  • Kutbi , M. A. and Attiya , A. A. 2010 . Differential subordination result with the Srivastava–Attiya integral operator . J. Inequal. Appl. , 2010 : 1 – 10 . Article ID 618523
  • Liu , J.-L. 2008 . Subordinations for certain multivalent analytic functions associated with the generalized Srivastava–Attiya operator . Integral Transforms Spec. Funct. , 19 : 893 – 901 .
  • Liu , J.-L. 2011 . Sufficient condtions for strongly starlike functions involving the generalized Srivastava–Attiya operator . Integral Transforms Spec. Funct. , 22 : 79 – 90 .
  • Liu , J.-L. and Srivastava , H. M. 2009 . A class of multivalently analytic functions associated with the Dziok–Srivastava operator . Integral Transforms Spec. Funct. , 20 : 401 – 417 .
  • Miller , S. S. and Mocanu , P. T. 1985 . On some classes of first order differential subordinations . Mich. Math. J. , 32 : 185 – 195 .
  • Miller , S. S. and Mocanu , P. T. 2000 . “ Differential subordination: Theory and applications ” . In Series in Pure and Applied Mathematics , Vol. 225 , New York : Marcel Dekker .
  • Miller , S. S. and Mocanu , P. T. 2003 . Subordinats of differential superordinations . Complex Var. Theory Appl. , 48 : 815 – 826 .
  • Murugusundaramoorthy , G. 2010 . A subclass of analytic functions associated with the Hurwitz–Lerch Zeta function . Hacet. J. Math. Stat. , 39 : 265 – 272 .
  • Murugusundaramoorthy , G. 2011 . Subordination results for spiral-like functions associated with the Srivastava–Attiya operator . Integral Transforms Spec. Funct , doi: 10.1080/10652469.2011.562501
  • Murugusundaramoorthy , G. , Vijaya , K. and Magesh , N. 2011 . On applications of generalized integral operator to a subclass of analytic functions . Acta Univ. Apulensis , 25 : 165 – 176 .
  • Noor , K. I. 2010 . Applications of certain operators to the classes related with generalized Janowski functions . Integral Transforms Spec. Funct. , 21 : 557 – 567 .
  • Noor , K. I. and Bukhari , S. Z.H. 2010 . Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava–Attiya integral operator . Integral Transforms Spec. Funct. , 21 : 907 – 916 .
  • Rǎducanu , D. and Srivastava , H. M. 2007 . A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function . Integral Transforms Spec. Funct. , 18 : 933 – 943 .
  • Shanmugam , T. N. , Ravichandran , V. and Sivasubramanian , S. 2006 . Differential sandwich theorems for subclasses of analytic functions . Aust. J. Math. Anal. Appl. , 3 : 1 – 11 . Article 8 (electronic)
  • Shanmugam , T. N. , Sivasubramanian , S. and Owa , S. 2010 . On sandwich results for some subclasses of analytic functions involving certain linear operator . Integral Transforms Spec. Funct. , 21 : 1 – 11 .
  • Srivastava , H. M. and Attiya , A. A. 2007 . An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination . Integral Transforms Spec. Funct. , 18 : 207 – 216 .
  • Srivastava , H. M. and Lashin , A. Y. 2010 . Subordination properties of certain classes of multivalently analytic functions . Math. Comput. Modelling , 52 : 596 – 602 .
  • Srivastava , H. M. and Owa , S. 1992 . Current Topics in Analytic Function Theory , Edited by: Srivastava , H. M. and Owa , S. Singapore : World Scientific .
  • Srivastava , H. M. , Yang , D.-G. and Xu , N. 2009 . Subordinations for multivalent analytic functions associated with the Dziok–Srivastava operator . Integral Transforms Spec. Funct. , 20 : 581 – 606 .
  • Stankiewicz , J. and Stankiewicz , Z. 1986 . Some applications of the Hadamard convolution in the theory of functions . Ann. Univ. Mariae Curie-Sklodowska Sect. A , 40 : 251 – 265 .
  • Wang , Z.-G. , Aghalary , R. , Darus , M. and Ibrahim , R. W. 2009 . Some properties of certain multivalent analytic functions Involving the Cho–Kwon–Srivastava operator . Math. Comput. Model. , 49 : 1969 – 1984 .
  • Wang , Z.-G. , Li , Q.-G. and Jiang , Y.-P. 2010 . Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator . Integral Transforms Spec. Funct. , 21 : 221 – 234 .
  • Wang , Z.-G. , Xu , N. and Acu , M. 2010 . Certain subclasses of multivalent analytic functions defined by multiplier transforms . Appl. Math. Comput. , 216 : 193 – 205 .
  • Xiang , R.-G. , Wang , Z.-G. and Darus , M. 2010 . A family of integral operators preserving subordination and superordination . Bull. Malays. Math. Sci. Soc. (2) , 33 : 121 – 131 .
  • Yuan , S.-M. and Liu , Z.-M. 2011 . Some properties of two subclasses of k-fold symmetric functions associated with Srivastava–Attiya operator . Appl. Math. Comput. , doi:10.1016/j.amc.2011.03.080
  • Zhu , Y.-C. and Liu , M.-S. 2008 . Subordinations of the solutions of Briot–Bouquet differential equations and their applications . Integral Transforms Spec. Funct. , 19 : 171 – 182 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.