On coefficient problems of an operator with respect to symmetric point

• Autorzy: Terwase A. P. , Darus M.

Identyfikatory

DOI

10.1515/fascmath-2016-0022

• Języki publikacji: EN

Abstrakty

EN

In this research work, we study the properties of a certain differential subordination involving an operator with respect to a symmetric point. We establish coefficient estimates as our main results.

Słowa kluczowe

EN

subordination; starlikeness; convexity; symmetric point; coefficient estimates

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 57
• Strony: 147--155
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Terwase A. P.

• School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor DE, Malaysia

autor

Darus M.

• School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor DE, Malaysia

Bibliografia

• [1] Acu M., Owa S., On some subclasses of univalent functions, Journal of Inequalities in Pure and Applied Mathematics, 6(2005), 1-14.
• [2] Bansal D., Raina R.K., Some subordination theorems associated with a new operator, Le Matematiche, 25(2010), 33-34.
• [3] Carlson B.C., Shaffer D.B., Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15(1984), 737-745.
• [4] Darus M., Meromophic functions with positive coefficients, Int. Jour. Math. Math. Sci., 6(2004), 319-324.
• [5] Goel R.M., Mehrok B.C., A subclass of starlike functions with respect to symmetric points, Tamkang J. Math., 13(1982), 11-24.
• [6] Kanas S., Ronning F., Uniformly starlike and convex functions and other related classes of univalent functions, Ann. Univ. Mariae Curie-Sklodowska, 53(1999), 95-105.
• [7] Oladipo A.T., On a subclasses of univalent functions, Advances in Applied Mathematical Analysis, 4(2009), 87-93.
• [8] Olatunji S.O., Oladipo A.T., On a new subfamilies of analytic and univalent functions with negative coefficient with respect to other poins, Bull.of Math. Anal. Appl., 3(2011), 20-30.
• [9] Selvaraj C., Vasanthi N., Subclasses of analytic functions with respect to symmetric and conjugate points, Tamkang J. Math., 42(2011), 87-94.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.