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Abstrakty
The present paper deals with certain generalized subclasses of multivalent close-to-star functions defined with subordination. Various properties of these classes such as the coefficient estimates, growth theorems, argument theorems and inclusion relations are studied. Some earlier known results will follow as particular cases.
Czasopismo
Rocznik
Tom
Strony
91--106
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- Department of Mathematics, Khalsa College, Amritsar, Punjab, India
autor
- G. N. D. U. College, Chungh (Tarn-Taran), Punjab, India
Bibliografia
- [1] Aouf M.K., On a class of p-valent starlike functions of order α, Int. J. Math. Math. Sci., 10(4) (1987), 733-744.
- [2] Aouf M.K., On subclasses of p-valent close-to-convex functions, Tamkang Journal of Mathematics, 22(2) (1991), 133-143.
- [3] Arif M., Dziok J., Raza M., Sokol J., On products of multivalent close-to-star functions, J. Ineq. Appl., 5(2015), 1-14.
- [4] Goel R.M., Mehrok B.S., On a class of close-to-convex functions, Indian. J. Pure Appl. Math., 12(5) (1981), 648-658.
- [5] Goluzin E.G., On the coefficients of a class of functions, regular in a disk having an integral representation in it, J. Soviet Math., 2(6) (1974), 606-617.
- [6] Hayami T., Owa S., The Fekete-Szegö problem for p-valently Janowski starlike and convex functions, Int. J. Math. Math. Sci. Article Id. 583972, 2011.
- [7] Janowski W., Some extremal problems for certain families of analytic functions, Ann. Pol. Math., 28(1973), 297-326.
- [8] Kaplan W., Close-to-convex schlicht functions, Mich. Math. J., 1(1952), 169-185.
- [9] Keogh S.R., Merkes E.P., A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc., 20(1969), 8-12.
- [10] Lecko A., Sim Y.J., Coefficient problems in the subclasses of close-to-star functions, Results in Math., 74(2019), 1-14.
- [11] Liu M.S., On a subclass of p-valent close-to-convex functions of order β and type α, J. Math. Study, 30(1997), 102-104.
- [12] Mehrok B.S., Singh G., A subclass of close-to-star functions, Int. J. Modern Math. Sci., 4(3) (2012), 139-145.
- [13] Mehrok B.S., Singh G., Gupta D., A subclass of analytic functions, Global. J. Math. Sci.(Th. Pr.), 2(1) (2010), 91-97.
- [14] Mehrok B.S., Gagandeep Singh and Deepak Gupta, On a subclass of analytic functions, Antarctica J. Math., 7(4) (2010), 447-453.
- [15] Nehari Z., Conformal Mappings, Mc. Graw Hill, New York, 1952.
- [16] Ozkan H.E., Duman E.Y., Polatoglu Y., Distortion estimates and radius of starlikeness for generalized p-valent close-to-star functions, Int. J. Math. Anal., 7(20) (2013), 957-964.
- [17] Polatoglu Y., Bolkal M., Sen A., Yavuz E., A study on the generalization of Janowski function in the unit disc, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 22(2006), 27-31.
- [18] Reade M.O., On close-to-convex univalent functions, Michigan Math. J., 3(1955-56), 59-62.
- [19] Robertson M.S., On the theory of univalent functions, Ann. of Math., 37(1936), 169-185.
- [20] Ruscheweyh St., Sheil-Small T., Hadamard product of schlicht functions and the Polya-Schoenberg conjecture, Comment. Math. Helv., 48(1973), 119-135.
- [21] Umezawa T., Multivalently close-to-convex functions, Proc. Amer. Math. Soc., 8(1957), 869-874.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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