Classes of meromorphic multivalent functions with Montel’s normalization

Jacek Dziok

Annales UMCS, Mathematica (2012)

  • Volume: 66, Issue: 2, page 31-46
  • ISSN: 2083-7402

Abstract

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In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

How to cite

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Jacek Dziok. "Classes of meromorphic multivalent functions with Montel’s normalization." Annales UMCS, Mathematica 66.2 (2012): 31-46. <http://eudml.org/doc/268152>.

@article{JacekDziok2012,
abstract = {In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.},
author = {Jacek Dziok},
journal = {Annales UMCS, Mathematica},
keywords = {Meromorphic functions; varying arguments; fixed points; Montel’s normalization; subordination; Hadamard product.; meromorphic functions; coefficients estimates; distortion properties; radius of starlikeness},
language = {eng},
number = {2},
pages = {31-46},
title = {Classes of meromorphic multivalent functions with Montel’s normalization},
url = {http://eudml.org/doc/268152},
volume = {66},
year = {2012},
}

TY - JOUR
AU - Jacek Dziok
TI - Classes of meromorphic multivalent functions with Montel’s normalization
JO - Annales UMCS, Mathematica
PY - 2012
VL - 66
IS - 2
SP - 31
EP - 46
AB - In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.
LA - eng
KW - Meromorphic functions; varying arguments; fixed points; Montel’s normalization; subordination; Hadamard product.; meromorphic functions; coefficients estimates; distortion properties; radius of starlikeness
UR - http://eudml.org/doc/268152
ER -

References

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  1. [1] Aouf, M. K., Certain classes of meromorphic multivalent functions with positive coefficients, Math. Comput. Modelling 47 (2008), 328-340. Zbl1140.30004
  2. [2] Aouf, M. K., Certain subclasses of meromorphically p-valent functions with positive or negative coefficients, Math. Comput. Modelling 47 (2008), 997-1008.[WoS] Zbl1144.30302
  3. [3] Aouf, M. K., Silverman, H., Partial sums of certain meromorphic p-valent functions, J. Ineq. Pure and Appl. Math. 7(4) (2006), art. no. 119. Zbl1131.30307
  4. [4] Darwish, H. E., Meromorphic p-valent starlike functions with negative coefficients, J. Ineq. Pure and Appl. Math. 33 (2002), 967-76. Zbl1076.30505
  5. [5] Dziok, J., Classes of meromorphic functions associated with conic regions, Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), 765-774.[WoS] Zbl1265.30046
  6. [6] Dziok, J., Srivastava, H. M., Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transform. Spec. Funct. 14 (2003), 7-18.[Crossref] Zbl1040.30003
  7. [7] Montel, P., Leçons sur les Fonctions Univalentes ou Multivalentes, Gauthier-Villars, Paris, 1933. Zbl59.0346.14
  8. [8] Mogra, M. L., Meromorphic multivalent functions with positive coefficients I and II, Math. Japon. 35 (1990), 1-11 and 1089-1098. Zbl0705.30019
  9. [9] Silverman, H., Partial sums of starlike and convex functions, J. Math. Anal. Appl. 209 (1997), 221-227. Zbl0894.30010
  10. [10] Silverman, H., Univalent functions with varying arguments, Houston J. Math. 7 (1981), 283-287. Zbl0472.30018
  11. [11] Silvia, E. M., Partial sums of convex functions of order α, Houston. J. Math. 11 (1985), 397-404. Zbl0596.30025
  12. [12] Srivastava, H. M., Owa, S., Certain classes of analytic functions with varying arguments, J. Math. Anal. Appl. 136 (1988), 217-228. Zbl0643.30008
  13. [13] Raina, R. K., Srivastava, H. M., A new class of meromorphically multivalent functions with applications to generalized hypergeometric functions, Math. Comput. Modelling 43 (2006), 350-356. Zbl1140.30007
  14. [14] Wilf, H. S., Subordinating factor sequence for convex maps of the unit circle, Proc. Amer. Math. Soc. 12 (1961), 689-693.[Crossref] Zbl0100.07201

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