Partial sums of analytic functions associated with Hurwitz-Lerch zeta function

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참고문헌 (26)

1. J. W. Alexander, "Functions which map the interior of the unit circle upon simple regions", Ann. of Math., 17, pp.1222~ (1915)
2. K. Al-Shaqsi, "On certain subclasses of analytic functions dened by a multiplier trans-formation with two parameters", Appl. Math. Sci (2009)
3. S. D. Bernardi, "Convex and starlike univalent functions", Trans. Amer. Math. Soc., 135, pp.429~446 (1969)
4. J. Choi, "Certain families of series associated with the Hurwitz-Lerch Zeta function", Appl. Math. Comput., 170, pp.399~409 (2005)
5. J. H. Choi, "Some inclusion properties of a certain family of integral operators", J. Math. Anal. Appl, 276, pp.432~445 (2002)
6. C. Ferreira, "Asymptotic expansions of the Hurwitz-Lerch Zeta function", J. Math. Anal. Appl., 298, pp.210~224 (2004)
7. T. M. Flett, "The dual of an inequality of Hardy and Littlewood and some related inequalities", J. Math. Anal. Appl., 38, pp.746~765 (1972)
8. B.A. Frasin, "Partial sums of certain analytic and univalent functions", Acta Math. Acad. Paed. Nyir, 21, pp.135~145 (2005)
9. B.A. Frasin, "Generalization of partial sums of certain analytic and univalent functions", Appl. Math. Letters, 21, pp.735~741 (2008)
10. M. Garg, "Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch Zeta functions", Integral Transform. Spec. Funct., 17, pp.803~815 (2006)
11. I. B. Jung, "The Hardy space of analytic functions associated with certain one-parameter families of integral operators", J. Math. Anal. Appl., 176, pp.138~147 (1993)
12. S.-D. Lin, "Some families of the Hurwitz-Lerch Zeta functions and associated fractional derivative and other integral representations", Appl. Math. Comput., 154, pp.725~733 (2004)
13. S.-D. Lin, "Some espansion formulas for a class of generalized Hurwitz-Lerch Zeta functions", Integral Transform. Spec. Funct., 17, pp.817~827 (2006)
14. Y. Ling, "The Choi-Saigo-Srivastava integral operator and a class of analytic functions", Appl. Math. Comput, 165, pp.613~621 (2005)
15. G.Murugusundaramoorthy, "Unied class of analytic functions with negative coecients involving the Hurwitz-Lerch Zeta function", Bulletin of Mathematical Analysis and Applications, 1(Issue 3), pp.71~84 (2009)
16. G.Murugusundaramoorthy, "Subordination results and integral means inequalities for k- uniformly starlike functions dened by convolution involving the Hurwitz-Lerch Zeta function", STUDIA UNIV. "BABES-BOLYAI", MATHEMATICA,(to appear in 2010), ~ (2010)
17. G.Murugusundaramoorthy, "A subclass of analytic functions associated with the Hurwitz-Lerch Zeta function", Hacepetee J Maths (2010)
18. J. K. Prajapat, "Applications of Srivastava-Attiya operator to the classes of strongly starlike and strongly convex functions", J. Math. Inequal., 3, pp.129~137 (2009)
19. D. Raducanu, "A new class of analytic functions dened by means of a convolu-tion operator involving the Hurwitz-Lerch Zeta function", Integral Transform. Spec. Funct., 18, pp.933~943 (2007)
20. T. Rosy, "Neighborhoods and partial sums of starlike based on Ruscheweyeh derivatives", J. Ineq. Pure Appl. Math, 4(4), pp.1~8 (2003)
21. T. Sheill-Small, "A note on partial sums of convex schlicht functions", Bull. London Math. Soc., 2, pp.165~168 (1970)
22. H. Silverman, "Univalent functions with negative coecients", Proc. Amer. Math. Soc, 51, pp.109~116 (1975)
23. H. Silverman, "Partial sums of starlike and convex functions", J.Math Anal.&.Appl, 209, pp.221~227 (1997)
24. E.M. Silvia, "On partial sums of convex functions of order", Houston J. Math, 11, pp.397~404 (1985)
25. H. M. Srivastava, "An integral operator associated with the Hurwitz-Lerch Zeta function and dierential subordination", Integral Transform. Spec. Funct., 18, pp.207~216 (2007)
26. H. M. Srivastava, "Series associated with the Zeta and related functions" (2001), Kluwer Academic Publishers