Acknowledgement
The work of the Surya Giri is supported by University Grant Commission, New-Delhi, India under UGC-Ref. No. 1112/(CSIR-UGC NET JUNE 2019).
References
- O. P. Ahuja, K. Khatter, and V. Ravichandran, Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions, Iran. J. Sci. Technol. Trans. A Sci. 45 (2021), no. 6, 2021-2027. https://doi.org/10.1007/s40995-021-01173-6
- K. Bano, M. Raza, and D. K. Thomas, On the coefficients of B1(α) Bazilevic functions, Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Mat. RACSAM 115 (2021), Paper No. 7, 12 pp. https://doi.org/10.1007/s13398-020-00947-8
- N. E. Cho, B. Kowalczyk, and A. Lecko, Sharp bounds of some coefficient functionals over the class of functions convex in the direction of the imaginary axis, Bull. Aust. Math. Soc. 100 (2019), no. 1, 86-96. https://doi.org/10.1017/s0004972718001429
- K. Cudna, O. S. Kwon, A. Lecko, Y. J. Sim, and B. Smiarowska, The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order α, Bol. Soc. Mat. Mex. (3) 26 (2020), no. 2, 361-375. https://doi.org/10.1007/s40590-019-00271-1
- R. N. Das and P. Singh, On subclasses of schlicht mapping, Indian J. Pure Appl. Math. 8 (1977), no. 8, 864-872.
- K. Gangania and S. S. Kumar, A generalized Bohr-Rogosinski phenomenon, Iran. J. Sci. 47 (2023), no. 1, 187-198. https://doi.org/10.1007/s40995-022-01398-z
- P. Goel and S. S. Kumar, Certain class of starlike functions associated with modified sigmoid function, Bull. Malays. Math. Sci. Soc. 43 (2020), no. 1, 957-991. https://doi.org/10.1007/s40840-019-00784-y
- W. Janowski, Some extremal problems for certain families of analytic functions. I, Ann. Polon. Math. 28 (1973), 297-326. https://doi.org/10.4064/ap-28-3-297-326
- K. Khatter, V. Ravichandran, and S. S. Kumar, Estimates for initial coefficients of certain starlike functions with respect to symmetric points, in Applied analysis in biological and physical sciences, 385-395, Springer Proc. Math. Stat., 186, Springer, New Delhi, 2016. https://doi.org/10.1007/978-81-322-3640-5_24
- V. Kumar and N. E. Cho, Hermitian-Toeplitz determinants for functions with bounded turning, Turkish J. Math. 45 (2021), no. 6, 2678-2687. https://doi.org/10.3906/mat2101-104
- S. Kumar and V. Kumar, Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes, Commun. Korean Math. Soc. 37 (2022), no. 4, 1041-1053. https://doi.org/10.4134/CKMS.c210332
- V. Kumar, R. Srivastava, and N. E. Cho, Sharp estimation of Hermitian-Toeplitz determinants for Janowski type starlike and convex functions, Miskolc Math. Notes 21 (2020), no. 2, 939-952. https://doi.org/10.18514/mmn.2020.3361
- A. Lecko, Y. J. Sim, and B. Smiarowska, The fourth-order Hermitian Toeplitz determinant for convex functions, Anal. Math. Phys. 10 (2020), no. 3, Paper No. 39, 11 pp. https://doi.org/10.1007/s13324-020-00382-3
- A. Lecko and B. Smiarowska, Sharp bounds of the Hermitian Toeplitz determinants for some classes of close-to-convex functions, Bull. Malays. Math. Sci. Soc. 44 (2021), no. 5, 3391-3412. https://doi.org/10.1007/s40840-021-01122-x
- R. J. Libera and E. J. Z lotkiewicz, Coefficient bounds for the inverse of a function with derivative in P, Proc. Amer. Math. Soc. 87 (1983), no. 2, 251-257. https://doi.org/10.2307/2043698
- P. T. Mocanu, Certain classes of starlike functions with respect to symmetric points, Mathematica (Cluj) 32(55) (1990), no. 2, 153-157.
- Z. Nehari and E. Netanyahu, On the coefficients of meromorphic schlicht functions, Proc. Amer. Math. Soc. 8 (1957), 15-23. https://doi.org/10.2307/2032803
- M. Obradovi'c and N. Tuneski, Hermitian Toeplitz determinants for the class S of univalent functions, Armen. J. Math. 13 (2021), Paper No. 4, 10 pp. https://doi.org/10.52737/18291163-2021.13.4-1-10
- V. Ravichandran, Starlike and convex functions with respect to conjugate points, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 20 (2004), no. 1, 31-37.
- K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959), no.1, 72-75. https://doi.org/10.2969/jmsj/01110072
- T. N. Shanmugam, C. Ramachandran, and V. Ravichandran, Fekete-Szego problem for subclasses of starlike functions with respect to symmetric points, Bull. Korean Math. Soc. 43 (2006), no. 3, 589-598. https://doi.org/10.4134/BKMS.2006.43.3.589
- J. Thangamani, On starlike functions with respect to symmetric points, Indian J. Pure Appl. Math. 11 (1980), no. 3, 392-405.
- K. Ye and L.-H. Lim, Every matrix is a product of Toeplitz matrices, Found. Comput. Math. 16 (2016), no. 3, 577-598. https://doi.org/10.1007/s10208-015-9254-z