AMS subject classification:30C45 Meromorphically p-valent functions defined by integral operator involving ȴ-Function in new subclasses
integral operator, coefficient inequality ȴ_p^(α,β), Partial sums, radii of starlikeness and radii convexity.
Keywords:
integral operator, coefficient inequality ȴ_p^(α,β), Partial sums, radii of starlikeness and radii convexity.
Abstract
Some relations in this paper we using in new subclass of meromorphically p-valent functions TK( ) defined by integral operator involving -function We derived some properties, like, coefficient inequality , growth and distortion bounds by theorems (2) and (3), Partial sums, convex set, radii of starlikeness and radii convexity.
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References
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[2] M. K. Aouf and H. M. Hossen, New certeria for of meromorphic p-valent starlike functions, Tsukuba. J. Math.,17(2)(1993),481-486.
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Approx. Theory and Appl. , 1(2) (2005), 123
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Surveys in Mathematics and its Applications, 3 (2008), 67-77.
[5] W. G. Atshan and R.N Abdul-Hussien Some Properties of Certain subclass of Meromorphically Multivalent Functions Defined by Convolution and Integral Operator involving I-Function, College of Computer Science and Mathematics, University of Al-Qadisiya. Jul 30, 2014.
[6] W. G. Atshan and S. R. Kulkarni, Meromorphic p-valent functionswith p
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[7] Atshan W.G, Najah A. On a new class of meromorphic multivalent functions defined by
fractional differ – integral operator, Gournal of kufa for mathematics and computer.2018;5:12-20.
[8] A. Catas, On certain classes of p-valent functions defined by multiplier transformations, in: Proc. Book of the International Symposium on Geometric Function Theory and Applications, Istanbul, Turkey, August 2007, 20-25.
[9] N. M. Cho, S. H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Keobe J. Math. 4(1987), 43-50.
[10] F. Ghanim and M. Darus, Some properties of certain subclass ofmeromorphically multivalent functions defined by a linear operator, J. Math. Stat. , 6(2010), 34-41.
[11] J. L. Liu, Properties of some families of meromorphic p-valent functions, Math. Japan, 52(2000), 425-434.
[12] V. P. Saxena, "A formal solution of certain new pair of integral equations involving H functions" Proceedings of the National Academy of Science of India A, 52(A)(1982), 366-375.
[2] M. K. Aouf and H. M. Hossen, New certeria for of meromorphic p-valent starlike functions, Tsukuba. J. Math.,17(2)(1993),481-486.
[3] M. K. Aouf and A. E. Shammarky, A certain subclass of meromorphically convex functions with negative coefficients, J.
Approx. Theory and Appl. , 1(2) (2005), 123
-143.
[4] 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.
[5] W. G. Atshan and R.N Abdul-Hussien Some Properties of Certain subclass of Meromorphically Multivalent Functions Defined by Convolution and Integral Operator involving I-Function, College of Computer Science and Mathematics, University of Al-Qadisiya. Jul 30, 2014.
[6] W. G. Atshan and S. R. Kulkarni, Meromorphic p-valent functionswith p
ositive coefficients defined by convolution and integral operator, IndianJournal of Acad. Math. , 29(2) (2007), 409-423.
[7] Atshan W.G, Najah A. On a new class of meromorphic multivalent functions defined by
fractional differ – integral operator, Gournal of kufa for mathematics and computer.2018;5:12-20.
[8] A. Catas, On certain classes of p-valent functions defined by multiplier transformations, in: Proc. Book of the International Symposium on Geometric Function Theory and Applications, Istanbul, Turkey, August 2007, 20-25.
[9] N. M. Cho, S. H. Lee and S. Owa, A class of meromorphic univalent functions with positive coefficients, Keobe J. Math. 4(1987), 43-50.
[10] F. Ghanim and M. Darus, Some properties of certain subclass ofmeromorphically multivalent functions defined by a linear operator, J. Math. Stat. , 6(2010), 34-41.
[11] J. L. Liu, Properties of some families of meromorphic p-valent functions, Math. Japan, 52(2000), 425-434.
[12] V. P. Saxena, "A formal solution of certain new pair of integral equations involving H functions" Proceedings of the National Academy of Science of India A, 52(A)(1982), 366-375.
Published
2020-07-08
How to Cite
Ahmed Khalaf Radhi, & Thamer Khalil Al-Khafaji. (2020). AMS subject classification:30C45 Meromorphically p-valent functions defined by integral operator involving ȴ-Function in new subclasses. Al-Qadisiyah Journal of Pure Science, 25(3), Math 97-. https://doi.org/10.29350/qjps.2020.25.3.1148
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Section
Mathematics
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