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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-cb316fed-9363-47de-b4c4-009b29a6ef2d

Czasopismo

Demonstratio Mathematica

Tytuł artykułu

A class of univalent functions involving a differentio-integral operator

Autorzy Jain, P. K.  Sharma, P.  Jain, V. 
Treść / Zawartość https://www.degruyter.com/view/j/dema
Warianty tytułu
Języki publikacji EN
Abstrakty
EN This paper focuses on a generalized linear operator Im which is a combination of both differential and integral operators. Involving this operator, a class Tsk(...) with respect to k-symmetric points is defined. Results based on coefficient inequalities and bounds for this class are obtained. Various integral representations and some consequent results for TS(...) class are also determined. Further, results on partial sums are discussed.
Słowa kluczowe
PL funkcje analityczne   funkcja wypukła   splot   podporządkowanie  
EN analytic function   convex function   convolution   subordination  
Wydawca De Gruyter
Czasopismo Demonstratio Mathematica
Rocznik 2013
Tom Vol. 46, nr 2
Strony 283--297
Opis fizyczny Bibliogr. 17 poz.
Twórcy
autor Jain, P. K.
autor Sharma, P.
autor Jain, V.
Bibliografia
[1] M. Acu, S. Owa, Note on a class of starlike functions, RIMS, Kyoto, 2006.
[2] A. Alb Lupaş, A note on a subclass of analytic functions defined by multiplier transformation, Int. J. Open Prob. Com. Anal. 2(2) (2010).
[3] F. Al-Oboudi, On univalent functions defined by a generalized Salegean operator, Int. J. Math. Sci. 27 (2004), 1429–1436.
[4] A. A. Amer, M. Darus, On some properties for new generalized derivative operator, Jordan J. Math. Stat. (JJMS) 4(2) (2011), 91–101.
[5] A. Cătuş, On certain class of p-valent functions defined by new multiplier transformations, Proceedings Book of the International Symposium on Geometric Function Theory and Applications, August 20–24, 2007, TC Istanbul Kultur University, Turkey, 241–250.
[6] N. E. Cho, T. H. Kim, Multiplier transformations and strongly close-to-close functions, Bull. Korean Math. Soc. 40(3) (2003), 399–410.
[7] N. E. Cho, H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37(1–2) (2003), 39–49.
[8] T. M. Flett, The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Anal. Appl. 38 (1972), 746–765.
[9] V. P. Gupta, P. K. Jain, Certain classes of univalent functions with negative coefficients, Bull. Austral. Math. Soc. 14 (1976), 409–416.
[10] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109–115.
[11] G. S. Sălăgean, Subclasses of univalent functions, Lecture Notes in Math. (Springer-Verlag), 1013 (1983), 362–372.
[12] K. Al-Shaqsi, M. Darus, On univalent functions with respect to k-summetric points defined by a generalization Ruscheweyh derivative operators, J. Anal. Appl. 7(1) (2009), 53–61.
[13] K. Al-Shaqsi, M. Darus, An operator defined by convolution involving the polylogarithms functions, J. Math. & Stat. 4(1) (2008), 46–50.
[14] K. Al-Shaqsi, M. Darus, A multiplier transformation defined by convolution involving nth order polylogarithms functions, International Mathematical Forum 4 (2009), 1823–1837.
[15] K. Al-Shaqsi, M. Darus, Differential subordination with generalized derivative operator, AJMMS (to appear).
[16] H. Silverman, A survey with open problems on univalent functions whose coefficients are negative, Rocky Mountain J. Math. 21(3) (1991), 1099–1125.
[17] B. A. Uralegaddi, C. Somanatha, Certain classes of univalent functions, Current topics in analytic function theory, World. Sci. Publishing, River Edge, N.Y., (1992), 371–374.
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