On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator
DOI:
https://doi.org/10.31642/JoKMC/2018/020305Keywords:
Meromorphic Univalent function,, Hadamard product (or convolution), Neighborhood, Integral transform, Convex set.Abstract
In this paper, we introduce and study a new class of meromorphic Univalent functions deï¬ned by Dziok_Srivastava operator for this class. We obtain coefficient inequality, convex set, closure and Hadamard product (or convolution).Further we obtain a(n,δ)-neighborhood of the function f∈ Ï‘, and the integral transform.Downloads
References
O. Altintas and S. Owa, Neighborhoods of certain analytic functions with negative coefficients, Int. J. Math. Sci., 19, (1996), 797-800. DOI: https://doi.org/10.1155/S016117129600110X
M. K. Aouf, On a certain class of meromorphic univalent functions with positive coefficients, Rendiconti di Math. Serie V11, vol. 11, Roma, (1981), 209_219.
W. G. Atshan, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivative II , J. Surveys in Mathematics and its Applications , 3, (2008), 67-77.
W. G. Atshan and S. R. Kulkarni, On a class of P_valent analytic function with negative coefficients defined by Dziok_Srivastava linear operator, International J. Math. Sci. & Engg. Appls. (IJMSEA],2(1), (2007), 173-182.
N. E. Cho, H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Koebeg, Math. ,4, (1987), 43_50.
J. Dziok, G. Murugusundaramoorthy and J. Sokot’, On certain class of meromorphic functions with positive coefficients, Acta. Mathematica scientia, 32 (2012), B(4):1376_1390. DOI: https://doi.org/10.1016/S0252-9602(12)60106-4
A. W. Goodman, Univalent functions and non-analytic curves, Proc. Amer. Math. Soc., 8, (1975), 598-601. DOI: https://doi.org/10.1090/S0002-9939-1957-0086879-9
J. L. Liu and H. M. Srivastava, A linear operator and associated families of meromorphically multivalent functions, J. Math. Anal. Appl. 259, (2001), 566-581. DOI: https://doi.org/10.1006/jmaa.2000.7430
S. Ruscheweyh, Neighborhoods of Univalent functions, Proc. Amer. Math. Soc., 81, (1981), 521-527. DOI: https://doi.org/10.1090/S0002-9939-1981-0601721-6
T. M. Seoudy and M. K. Aouf, Some inequalities of meromorphic P_valent functions associated with the Liu-Srivastava operator, (2013), proceedings of IAM, V. 2, n.1, PP. (11_9).
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Copyright (c) 2023 Mohammed Maad Mahdi, Waggas Galib Atshan, Abdul Jalil M. Khalaf
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