PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Preserving subordination and superordination results of generalized Srivastava-Attiya operator

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained.
Rocznik
Tom
Strony
17--26
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
autor
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
autor
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Bibliografia
  • [1] J.W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. Math. Ser., 2, 17 (1915), 12-22.
  • [2] M. K. Aouf and T. M. Seoudy, Some preserving subordination and superordination results of certain integral operator, Int. J. Open Problems Comput. Math., (to appear).
  • [3] J. H. Choi and H. M. Srivastava, Certain families of series associated with the Hurwitz-Lerch Zeta function, Appl. Math. Comput., 170 (2005), 399-409.
  • [4] J. H. Choi, M. Saigo and H.M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl., 276 (2002), 432-445.
  • [5] R. M. El-Ashwah and M. K. Aouf, Some properties of new integral operator, Acta Univ. Apulensis, 24 (2010), 51-61.
  • [6] T. B. Jung , Y. C. Kim and H. M. Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl., 176 (1993), 138-147.
  • [7] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc., 16 (1969), 755-758.
  • [8] S.-D. Lin and H. M. Srivastava, Some families of the Hurwitz-Lerch Zeta functions and associated fractional derivative and other integral representations, Appl. Math. Comput., 154 (2004), 725-733.
  • [9] S.-D. Lin, H. M. Srivastava and P.-Y. Wang, Some expansion formulas for a class of eneralized Hurwitz-Lerch Zeta functions, Integral Transforms Spec. Funct., 17 (2006), 17-827.
  • [10] J.-L. Liu, Subordinations for certain multivalent analytic functions associated with the generalized Srivastava-Attiya operator, Integral Transforms Spec. Funct., 18 (2007), 207-216.
  • [11] Q.-M. Luo and H. M. Srivastava, Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials, J. Math. Anal. Appl., 308 (2005), 290-302.
  • [12] S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 28 (1981), no. 2, 157–172.
  • [13] S. S. Miller and P. T. Mocanu, Univalent solutions of Briot-Bouquet differential equations, J. Differential Equations, 56 (1985), no. 3, 297–309.
  • [14] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker, New York and Basel, 2000.
  • [15] S. Miller and P. T. Mocanu, Subordinants of differential superordinations, Complex Variables. Theory Appl., 48 (2003), no. 10, 815–826.
  • [17] Ch. Pommerenke, Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
  • [17] S. Shams, S. R. Kulkarni, and J. M. Jahangiri, Subordination properties of p–valent functions defined by integral operators, Internat. J. Math. Math. Sci., Vol. 2006, Art. ID 94572, 1–3.
  • [18] H. M. Srivastava and A. A. Attiya, An integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination, Integral Transforms Spec. Funct., 18 (2007), 207-216.
  • [19] H. M. Srivastava and J. Choi, Series associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston, London, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-61600ce2-56c2-4593-9188-6e270f1912af
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.