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The Relationships Between p−valent Functions and Univalent Functions

   | 04 avr. 2017
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[1] J. W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. of Math. (Ser. 2) 17 (1915), 12–22.10.2307/2007212Search in Google Scholar

[2]Á. Baricz and B. A. Frasin, Univalence of integral operators involving Bessel functions, Appl. Math. Lett. 23 (2010), 371–376.10.1016/j.aml.2009.10.013Search in Google Scholar

[3] D. Breaz and N. Breaz, Two integral operators, Stud. Univ. Babeş-Bolyai. Math. 47 (3) (2002), 13–19.Search in Google Scholar

[4] D. Breaz and N. Breaz, The univalent conditions for an integral operator on the classes Sp and T2, J. Approx. Theory Appl. 1 (2005), 93–98.Search in Google Scholar

[5] D. Breaz and N. Breaz, Univalence conditions for certain integral operators, Stud. Univ. Babeş-Bolyai Math. 47 (2) (2002), 9–15.Search in Google Scholar

[6] S. Bulut, Univalence preserving integral operators defined by generalized Al-Oboudi differential operators, An. Şt. Univ. Ovidius Constanta. Vol. 17(1) (2009), 37–50.Search in Google Scholar

[7] E. Deniz, p-subordination chains and p-valence criteria, Journal of Inequalities and Applications. 2013.1 (2013), 1-7.Search in Google Scholar

[8] E. Deniz, H. Orhan, M. Çağlar, Sufficient conditions for p−valence of an integral operator (submitted).Search in Google Scholar

[9] B. A. Frasin, New general integral operators of p-valent functions, Journal of Inequatilies Pure and Applied Mathematics 10 (4) (2009), 9 pp.Search in Google Scholar

[10] D. J. Hallenbeck and A. E. Livingston, Subordination chains and p−valent functions, preprint 1975.Search in Google Scholar

[11] S. S. Miller, P. T. Mocanu, and M. O. Reade, Starlike integral operators, Pacific J. Math. 79 (1978), 157–168.10.2140/pjm.1978.79.157Search in Google Scholar

[12] V. Pescar, New criteria for univalence of certain integral operators, Demonstratio Math. 33 (2000), 51–54.Search in Google Scholar

[13] V. Pescar and S. Owa, Sufficient conditions for univalence of certain integral operators, Indian J. Math. 42 (2000), 347–351.Search in Google Scholar

[14] N. Seenivasagan and D. Breaz, Certain sufficient conditions for univalence, Gen. Math. 15 (4) (2007), 7–15.Search in Google Scholar

[15] H. M. Srivastava, E. Deniz and H. Orhan, Some general univalence criteria for a family of integral operators, Appl. Math. Comput. 215 (2010), 3696–3701.Search in Google Scholar

[16] H. M. Srivastava and S. Owa (Editors), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992.10.1142/1628Search in Google Scholar

eISSN:
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Langue:
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Volume Open
Sujets de la revue:
Mathematics, General Mathematics