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Sanjay Kumar, K.
- Fifth Hankel Determinant for Multivalent Bounded Turning Functions of Order
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Authors
Affiliations
1 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., IN
2 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P.., IN
3 Department of Mathematics, Sri Gurajada Apparao Government Degree College, Yalamanchili- 531055, A.P., IN
1 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P., IN
2 Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P.., IN
3 Department of Mathematics, Sri Gurajada Apparao Government Degree College, Yalamanchili- 531055, A.P., IN
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 289–308Abstract
The objective of this paper is to estimate an upper bound for the third, fourth and fifth Hankel determinants for the class of multivalent holomorphic functions, whose derivative has a positive real part of order α(0 ≤ α < 1). Further we investigate bound for 2-fold symmetric functions.Keywords
Holomorphic Function, Upper Bound, Hankel Determinant, Carath´eodory Function.References
- M. Arif, L. Rani, M. R. and P. Zaprawa, Fourth Hankel Determinant for the Set of Star-Like Functions, Mathematical Problems in Engineering, (2021), https://doi.org/10.1155/2021/6674010.
- M. Arif, I. Ullah, M. Raza and P. Zaprawa, Investigation of the Fifth Hankel determinant for a family of functions with bounded turning, Math. Slov., 70 (2) (2020), 319 - 328 .
- K. O. Babalola, On H3(1) Hankel determinant for some classes of univalent functions, Inequality Theory and Applications, 6 (2010), 1 - 7.
- P. L. Duren, Univalent functions, Vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer, New York, USA, 1983.
- T. Hayami and S. Owa, Generalized Hankel determinant for certain classes, Int. J. Math. Anal., 4 (52) (2010), 2573 - 2585.
- A. Janteng, S. A. Halim and M. Darus, Hankel Determinant for starlike and convex functions, Int. J. Math. Anal., 1 (13) (2007), 619 - 625.
- A. Janteng, S. A. Halim and M. Darus, Coefficient inequality for a function whose derivative has a positive real part, J. Inequal. Pure Appl. Math., 7 (2) (2006), 1 - 5.
- R. J. Libera and E. J. Zlotkiewicz, Coefficient bounds for the inverse of a function with derivative in P, Proc. Amer. Math. Soc., 87 (2) (1983), 251 - 257.
- A. E. Livingston, The coefficients of multivalent close-to-convex functions, Proc. Amer. Math. Soc., 21 (3) (1969), 545 - 552.
- T. H. MacGregor, Functions whose derivative has a positive real part, Trans. Amer. Math. Soc., 104 (3) (1962), 532 - 537.
- Ch. Pommerenke, Univalent functions, Gottingen: Vandenhoeck and Ruprecht; 1975.
- Ch. Pommerenke, On the coefficients and Hankel determinants of univalent functions, J. Lond. Math. Soc., 41 (1966), 111 - 122.
- B. Rath, K. S. Kumar, D. V. Krishna, A. Lecko, The sharp bound of the third Hankel determinant for starlike functions of order 1/2, Complex Anal. Oper. Theory, (2022), https://doi.org/10.1007/s11785-022-01241-8.
- D. Vamshee Krishna and T. RamReddy, Coefficient inequality for certain p- valent analytic functions, Rocky Mountain J. Math., 44 (6) (2014), 1941 - 1959.