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Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes

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In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz determinant for the classes of Sakaguchi functions and some of its subclasses related to right-half of lemniscate of Bernoulli, reverse lemniscate of Bernoulli and exponential functions are investigated.

Abstract

In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz determinant for the classes of Sakaguchi functions and some of its subclasses related to right-half of lemniscate of Bernoulli, reverse lemniscate of Bernoulli and exponential functions are investigated.

참고문헌 (30)

  1. R. Chand, "On certain schlicht mappings", Indian J. Pure Appl. Math, 10(9), pp.1167~1174 (1979)
  2. Nak Eun Cho, "Hermitian–Toeplitz and Hankel determinants for certain starlike functions", Asian-European Journal of Mathematics, 15(03) (2021), World Scientific Pub Co Pte Ltd[DOI]
  3. K. Cudna, "The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order $$\alpha $$", Boletín de la Sociedad Matemática Mexicana, 26(2), pp.361~375 (2019), Springer Science and Business Media LLC[DOI]
  4. R. N. Das, "On subclasses of schlicht mapping", Indian J. Pure Appl. Math, 8(8), pp.864~872 (1977)
  5. P. L. Duren, "Univalent functions" (1983), Springer-Verlag
  6. R. M. Goel, "A subclass of starlike functions with respect to symmetric points", Tamkang J. Math, 13(1), pp.11~24 (1982)
  7. Philip Hartman, "The Spectra of Toeplitz's Matrices", American Journal of Mathematics, 76(4), pp.867~882 (1954), JSTOR[DOI]
  8. Piotr Jastrzȩbski, "Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(4), pp.14~ (2020), Springer Science and Business Media LLC[DOI]
  9. K. Khatter, "Applied analysis in biological and physical sciences" (2016), Springer
  10. Bogumiła Kowalczyk, "The Third-Order Hermitian Toeplitz Determinant for Classes of Functions Convex in One Direction", Bulletin of the Malaysian Mathematical Sciences Society, 43(4), pp.3143~3158 (2019), Springer Science and Business Media LLC[DOI]
  11. B. Kowalczyk, "Sharp inequalities for Hermitian Toeplitz determinants for strongly starlike and strongly convex functions", Journal of Mathematical Inequalities, (1), pp.323~332 (2021), Element d.o.o.[DOI]
  12. Dan Kucerovsky, "On some properties of Toeplitz matrices", Cogent Mathematics, 3(1), pp.1154705~ (2016), Informa UK Limited[DOI]
  13. Virendra Kumar, "Hermitian-Toeplitz Determinants for Certain Classes of Close-to-Convex Functions", Bulletin of the Iranian Mathematical Society, 48(3), pp.1093~1109 (2021), Springer Science and Business Media LLC[DOI]
  14. Virendra KUMAR, "Hermitian–Toeplitz determinants for functions with bounded turning", TURKISH JOURNAL OF MATHEMATICS, 45(6), pp.2678~2687 (2021), The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS[DOI]
  15. Virendra Kumar, "Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions", Boletín de la Sociedad Matemática Mexicana, 27(2), pp.16~ (2021), Springer Science and Business Media LLC[DOI]
  16. V. Kumar, "Mathematical analysis. I. Approximation theory" (2020), Springer
  17. Virendra Kumar, "Coefficient functionals for non-Bazilevič functions", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116(1), pp.14~ (2021), Springer Science and Business Media LLC[DOI]
  18. Virendra Kumar, "Sharp estimation of Hermitian-Toeplitz determinants for Janowski type starlike and convex functions", Miskolc Mathematical Notes, 21(2), pp.939~952 (2020), Mathematical Notes[DOI]
  19. Richard J. Libera, "Coefficient Bounds for the Inverse of a Function with Derivative in P", Proceedings of the American Mathematical Society, 87(2), pp.251~257 (1983), JSTOR[DOI]
  20. Rajni Mendiratta, "A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli", International Journal of Mathematics, 25(09), pp.1450090~ (2014), World Scientific Pub Co Pte Lt[DOI]
  21. Rajni Mendiratta, "On a Subclass of Strongly Starlike Functions Associated with Exponential Function", Bulletin of the Malaysian Mathematical Sciences Society, 38(1), pp.365~386 (2014), Springer Science and Business Media LLC[DOI]
  22. P. T. Mocanu, "Certain classes of starlike functions with respect to symmetric points", Mathematica (Cluj), 32(2), pp.153~157 (1990)
  23. V. Ravichandran, "Starlike and convex functions with respect to conjugate points", Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 20(1), pp.31~37 (2004)
  24. Koichi SAKAGUCHI, "On a certain univalent mapping.", Journal of the Mathematical Society of Japan, 11(1), pp.72~75 (1959), Mathematical Society of Japan (Project Euclid)[DOI]
  25. J. Sokol, "Radius of convexity of some subclasses of strongly starlike functions", Zeszyty Nauk. Politech. Rzeszowskiej Mat. No, 19, pp.101~105 (1996)
  26. H. M. Srivastava, "Operators of Basic (or q-) Calculus and Fractional q-Calculus and Their Applications in Geometric Function Theory of Complex Analysis", Iranian Journal of Science and Technology, Transactions A: Science, 44(1), pp.327~344 (2020), Springer Science and Business Media LLC[DOI]
  27. H. M. Srivastava, "Hankel and Toeplitz deter-minants for a subclass of q-starlike functions associated with a general conic domain", Mathematics, 7, pp.1~15 (2019)
  28. H.M. Srivastava, "Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function", Bulletin des Sciences Mathématiques, 167, pp.102942~ (2021), Elsevier BV[DOI]
  29. J. Thangamani, "On starlike functions with respect to symmetric points", Indian J. Pure Appl. Math, 11(3), pp.392~405 (1980)
  30. D. Vamshee Krishna, "Third Hankel determinant for starlike and convex functions with respect to symmetric points", Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 70(1), pp.37~45 (2016), Uniwersytetu Marii Curie-Sklodowskiej w Lublinie[DOI]

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