On strong starlikeness criteria of p -valent functions

V. B. L. Chaurasia; Hari Singh Parihar

Mathematica Bohemica (2008)

  • Volume: 133, Issue: 3, page 241-245
  • ISSN: 0862-7959

Abstract

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H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for p -valent functions to be strongly starlike of order α .

How to cite

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Chaurasia, V. B. L., and Parihar, Hari Singh. "On strong starlikeness criteria of $p$-valent functions." Mathematica Bohemica 133.3 (2008): 241-245. <http://eudml.org/doc/250533>.

@article{Chaurasia2008,
abstract = {H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for $p$-valent functions to be strongly starlike of order $\alpha $.},
author = {Chaurasia, V. B. L., Parihar, Hari Singh},
journal = {Mathematica Bohemica},
keywords = {analytic function; strongly starlike function; analytic function; strongly starlike function},
language = {eng},
number = {3},
pages = {241-245},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On strong starlikeness criteria of $p$-valent functions},
url = {http://eudml.org/doc/250533},
volume = {133},
year = {2008},
}

TY - JOUR
AU - Chaurasia, V. B. L.
AU - Parihar, Hari Singh
TI - On strong starlikeness criteria of $p$-valent functions
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 3
SP - 241
EP - 245
AB - H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for $p$-valent functions to be strongly starlike of order $\alpha $.
LA - eng
KW - analytic function; strongly starlike function; analytic function; strongly starlike function
UR - http://eudml.org/doc/250533
ER -

References

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  1. Silverman, H., 10.1155/S0161171299220753, Internet J. Math. Math. Sci. 22 (1999), 75-79. (1999) Zbl0921.30009MR1684341DOI10.1155/S0161171299220753
  2. Lin, L. J., On a criterion of starlikeness, Math. Japonica 38 (1993), 897-899. (1993) MR1240291
  3. Nunokawa, M., On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. 69 (1993), 234-237. (1993) Zbl0793.30007MR1249218
  4. Obradović, M., Owa, S., 10.1002/mana.19891400109, Math. Nachr. 140 (1989), 97-102. (1989) MR1015390DOI10.1002/mana.19891400109
  5. Takahashi, N., Nunokawa, M., 10.1016/S0893-9659(03)00062-4, Appl. Math. Lett. 66 (2003), 653-655. (2003) Zbl1064.30008MR1986030DOI10.1016/S0893-9659(03)00062-4

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