Coefficient bounds for certain classes of analytic functions

O. P. Juneja; S. Ponnusamy; S. Rajasekaran

Annales Polonici Mathematici (1995)

  • Volume: 62, Issue: 3, page 231-244
  • ISSN: 0066-2216

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O. P. Juneja, S. Ponnusamy, and S. Rajasekaran. "Coefficient bounds for certain classes of analytic functions." Annales Polonici Mathematici 62.3 (1995): 231-244. <http://eudml.org/doc/262871>.

@article{O1995,
abstract = {},
author = {O. P. Juneja, S. Ponnusamy, S. Rajasekaran},
journal = {Annales Polonici Mathematici},
keywords = {subordination; meromorphic univalent and starlike functions},
language = {eng},
number = {3},
pages = {231-244},
title = {Coefficient bounds for certain classes of analytic functions},
url = {http://eudml.org/doc/262871},
volume = {62},
year = {1995},
}

TY - JOUR
AU - O. P. Juneja
AU - S. Ponnusamy
AU - S. Rajasekaran
TI - Coefficient bounds for certain classes of analytic functions
JO - Annales Polonici Mathematici
PY - 1995
VL - 62
IS - 3
SP - 231
EP - 244
AB -
LA - eng
KW - subordination; meromorphic univalent and starlike functions
UR - http://eudml.org/doc/262871
ER -

References

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  1. [1] B. L. Bhatia and S. Rajasekaran, Coefficient estimates for alpha-spiral functions, Bull. Austral. Math. Soc. 28 (1983), 319-329. Zbl0519.30015
  2. [2] A. V. Boyd, Coefficient estimates for starlike functions of order α, Proc. Amer. Math. Soc. 17 (1966), 1016-1019. Zbl0149.03602
  3. [3] R. Chand and P. Singh, On certain schlicht mappings, Indian J. Pure Appl. Math. 10 (1979), 1167-1174. Zbl0416.30010
  4. [4] Z. J. Jakubowski, On the coefficients of starlike functions of some classes, Bull. Acad. Polon. Sci. 9 (1971), 811-815. Zbl0224.30029
  5. [5] O. P. Juneja and S. Rajasekaran, Coefficient estimates for inverses of α-spiral functions, Complex Variables Theory Appl. 6 (1986), 99-108. Zbl0605.30010
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  7. [7] R. J. Libera and E. J. Złotkiewicz, Early coefficients of the inverse of a regular convex function, Proc. Amer. Math. Soc. 85 (1982), 225-230. Zbl0464.30019
  8. [8] R. J. Libera and E. J. Złotkiewicz, Coefficient bounds for the inverse of odd univalent functions, Complex Variables Theory Appl. 3 (1983), 185-189. Zbl0567.30014
  9. [9] T. H. MacGregor, Coefficient estimates for starlike mappings, Michigan Math. J. 10 (1963), 277-281. Zbl0137.05301
  10. [10] J. T. Poole, On starlike functions, Proc. Amer. Math. Soc. 19 (1968), 495-500. Zbl0165.09303
  11. [11] M. S. Robertson, Applications of the subordination principle to univalent functions, Pacific J. Math. 11 (1961), 315-324. Zbl0109.04902
  12. [12] K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959), 72-75. Zbl0085.29602
  13. [13] G. Schober, Coefficients of inverses of meromorphic univalent functions, Proc. Amer. Math. Soc. 67 (1977), 111-116. Zbl0374.30013
  14. [14] G. Schober, Coefficient estimates for the inverses of schlicht functions, in: Aspects of Contemporary Complex Analysis, Academic Press, New York, 1980, 503-513. 
  15. [15] P. Singh and P. Singh, Integral representations of functions in certain classes of univalent functions, Indian J. Pure Appl. Math. 12 (1981), 459-471. Zbl0454.30012
  16. [16] L. Špaček, Contributions à la théorie des fonctions univalentes, Časopis Pěst. Mat. 62 (1933), 12-19 (in Czech). Zbl58.0365.04
  17. [17] R. S. L. Srivastava, Univalent spiral functions, in: Topics in Analysis, Lecture Notes in Math. 419, Springer, Berlin, 1974, 327-341. 
  18. [18] J. Stankiewicz and J. Waniurski, Some classes of functions subordinate to linear transformation and their applications, Ann. Univ. M. Curie-Skłodowska 28 (9) (1974), 85-94. Zbl0441.30031

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