Starlike and convex functions of complex order involving generalized multiplier transformations
Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 305-313
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We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
DOI : 10.21136/MB.2020.0188-19
Classification : 30C45
Keywords: starlike; convex; close-to-convex; complex order; Hadamard product; generalized multiplier transformations
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Mostafa, Adela Osman; Aouf, Mohamed Kamal; El-Emam, Fatma Z. Starlike and convex functions of complex order involving generalized multiplier transformations. Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 305-313. doi: 10.21136/MB.2020.0188-19

[1] Al-Amiri, H. S., Fernando, T. S.: On close-to-convex functions of complex order. Int. J. Math. Math. Sci. 13 (1990), 321-330. | DOI | MR | JFM

[2] Al-Oboudi, F. M.: On univalent functions defined by a generalized Sălăgean operator. Int. J. Math. Math. Sci. 2004 (2004), 1429-1436. | DOI | MR | JFM

[3] Aouf, M. K.: On a class of $p$-valent close-to-convex functions of order $\beta$ and type $\alpha$. Int. J. Math. Math. Sci. 11 (1988), 259-266. | DOI | MR | JFM

[4] Cătaş, A., Oros, G. I., Oros, G.: Differential subordinations associated with multiplier transformations. Abstr. Appl. Anal. 2008 (2008), Article ID 845724, 11 pages. | DOI | MR | JFM

[5] Cho, N. E., Srivastava, H. M.: Argument estimates of certain analytic functions defined by a class of multiplier transformations. Math. Comput. Modelling 37 (2003), 39-49. | DOI | MR | JFM

[6] Choi, J. H.: Starlike and convex functions of complex order involving a certain fractional integral operator. RIMS Kokyuroku 1012 (1997), 1-13. | MR | JFM

[7] Nasr, M. A., Aouf, M. K.: On convex functions of complex order. Mansoura Sci. Bull. Egypt 9 (1982), 565-582.

[8] Nasr, M. A., Aouf, M. K.: Starlike function of complex order. J. Nat. Sci. Math. 25 (1985), 1-12. | MR | JFM

[9] Robertson, M. I. S.: On the theory of univalent functions. Ann. Math. (2) 37 (1936), 374-408. | DOI | MR | JFM

[10] Ruscheweyh, S., Sheil-Small, T.: Hadamard products of Schlicht functions and Polya-Schoenberg conjecture. Comment Math. Helv. 48 (1973), 119-135. | DOI | MR | JFM

[11] Sălăgean, G. Ş.: Subclasses of univalent functions. Complex Analysis: Fifth Romanian-Finnish Seminar, Part 1 Lecture Notes in Mathematics 1013. Springer, Berlin (1983), 362-372. | DOI | MR | JFM

[12] Uralegaddi, B. A., Somanatha, C.: Certain classes of univalent functions. Current Topics in Analytic Function Theory World Scientific, Singapore (1992), 371-374. | DOI | MR | JFM

[13] Wiatrowski, P.: On the coefficients of some family of regular functions. Zesz. Nauk. Uniw. Lodz., Ser. II, Nauki Mat.-Przyrodn. 39 (1970), 75-85 Polish. | MR | JFM

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