A note on certain classes of starlike functions

H. M. Srivastava; Shigeyoshi Owa; S. K. Chatterjea

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 115-124
  • ISSN: 0041-8994

How to cite

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Srivastava, H. M., Owa, Shigeyoshi, and Chatterjea, S. K.. "A note on certain classes of starlike functions." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 115-124. <http://eudml.org/doc/108053>.

@article{Srivastava1987,
author = {Srivastava, H. M., Owa, Shigeyoshi, Chatterjea, S. K.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {starlike functions; distortion theorems},
language = {eng},
pages = {115-124},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on certain classes of starlike functions},
url = {http://eudml.org/doc/108053},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Srivastava, H. M.
AU - Owa, Shigeyoshi
AU - Chatterjea, S. K.
TI - A note on certain classes of starlike functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 115
EP - 124
LA - eng
KW - starlike functions; distortion theorems
UR - http://eudml.org/doc/108053
ER -

References

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  1. [1] S.K. Chatterjea, On starlike functions, J. Pure Math., 1 (1981), pp. 23-26. Zbl0514.30010MR696324
  2. [2] M.-P. Chen, On a class of starlike functions, Nanta Math., 8 (1975), pp. 79-82. Zbl0321.30009MR425096
  3. [3] P.L. Duren, Univalent Functions, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1983. Zbl0514.30001MR708494
  4. [4] A.W. Goodman, An invitation to the study of univalent and multivalent functions, Internat. J. Math. and Math. Sci., 2 (1979), pp. 163-186. Zbl0438.30001MR539196
  5. [5] T.H. Macgregor, The radius of convexity for starlike functions of order ½, Proc. Amer. Math. Soc., 14 (1963), pp. 71-76. Zbl0113.05505MR150282
  6. [6] S. Owa - H.M. Srivastava, Univalent and starlike generalized hypergeometric functions, Univ. of Victoria Report No. DM-336-IR (1984), pp. 1-27; Canad. J. Math. (to appear). Zbl0611.33007MR918587
  7. [7] S. Owa. H.M. Srivastava, Some characterizations of univalent, starlike and convex hypergeometric functions, J. Fac. Sci. and Tech. Kinki Univ., 21 (1985), pp. 1-9. Zbl0567.30010MR912386
  8. [8] B. Pinchuk, On starlike and convex functions of order α, Duke Math. J., 35 (1968), pp. 721-734. Zbl0167.36101
  9. [9] M.S. Robertson, On the theory of univalent functions, Ann. of Math., 37 (1936), pp. 374-408. Zbl0014.16505MR1503286
  10. [10] A. Schild, On starlike functions of order α, Amer. J. Math., 87 (1965), pp. 65-70. Zbl0163.09901
  11. [11] A. Schild and H. Silverman, Convolutions of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 29 (1975), pp. 99-107. Zbl0363.30018MR457698
  12. [12] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975), pp. 109-116. Zbl0311.30007MR369678

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