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A Remark on Meromorphically Multivalent Functions withMissing Coefficients

Year 2013, Volume: 42 Issue: 2, 125 - 129, 01.02.2013

Abstract

The purpose of the present paper is to derive certain properties ofmeromorphically multivalent functions with missing coefficients.

References

  • Ali R. M.and Ravichandran, V. Differential subordination for meromorphic functions defined by a linear operator, J. Anal. Appl. 2, 149–158, 2004.
  • Ali, R. M., Ravichandran V., Seenivasagan, N. Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions, Bull. Malays. Math. Sci. Soc. 31 (2), 193–207, 2008.
  • Ali, R. M. Ravichandran V., Seenivasagan, N. On subordination and superordination of the multiplier transformation for meromorphic functions, Bull. Malays. Math. Sci. Soc. 33 (2), 311–324, 2010.
  • Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiplier transformations, Integral Transforms Spec. Funct. 16, 647–659, 2005.
  • Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300, 505–520, 2004.
  • Cho N. E., Noor, K. I. Inclusion properties for certain classes of meromorphic functions associated with the Choi-Saigo-Srivastava operator, J. Math. Anal. Appl. 320, 779–786, 200 Liu J.-L., Srivastava, H. M. Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions, Appl. Math. Lett. 16, 13–16, 2003. MacGregor, T. H. The radius of univalence of certain analytic functions. II, Proc. Amer. Math. Soc. 14, 521–524, 1963.
  • Ravichandran, V. Kumar S. S., Subramanian, K. G. Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic p-valent functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 11, 7 pp. (electronic), 2004.
  • Ravichandran, V., Kumar S. S., Darus, M. On a subordination theorem for a class of meromorphic functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 8, 4 pp. (electronic), 200 Supramaniam, S., Ali, R. M., Lee, S. K., Ravichandran, V. Convolution and differential subordination for multivalent functions, Bull. Malays. Math. Sci. Soc. 32 (2), 351–360, 200 Yang D.-G. and Liu, J.-L. On a class of analytic functions with missing coefficients, Appl. Math. Comput. 215, 3473–3481, 2010.
  • Yuan, S.-M., Liu Z.-M., Srivastava, H. M. Some inclusion relationship and integral preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl. 337, 505–515, 2008.

A Remark on Meromorphically Multivalent Functions withMissing Coefficients

Year 2013, Volume: 42 Issue: 2, 125 - 129, 01.02.2013

Abstract

-

References

  • Ali R. M.and Ravichandran, V. Differential subordination for meromorphic functions defined by a linear operator, J. Anal. Appl. 2, 149–158, 2004.
  • Ali, R. M., Ravichandran V., Seenivasagan, N. Subordination and superordination of the Liu-Srivastava linear operator on meromorphic functions, Bull. Malays. Math. Sci. Soc. 31 (2), 193–207, 2008.
  • Ali, R. M. Ravichandran V., Seenivasagan, N. On subordination and superordination of the multiplier transformation for meromorphic functions, Bull. Malays. Math. Sci. Soc. 33 (2), 311–324, 2010.
  • Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiplier transformations, Integral Transforms Spec. Funct. 16, 647–659, 2005.
  • Cho, N. E. Kwon O. S., Srivastava, H. M. Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300, 505–520, 2004.
  • Cho N. E., Noor, K. I. Inclusion properties for certain classes of meromorphic functions associated with the Choi-Saigo-Srivastava operator, J. Math. Anal. Appl. 320, 779–786, 200 Liu J.-L., Srivastava, H. M. Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions, Appl. Math. Lett. 16, 13–16, 2003. MacGregor, T. H. The radius of univalence of certain analytic functions. II, Proc. Amer. Math. Soc. 14, 521–524, 1963.
  • Ravichandran, V. Kumar S. S., Subramanian, K. G. Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic p-valent functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 11, 7 pp. (electronic), 2004.
  • Ravichandran, V., Kumar S. S., Darus, M. On a subordination theorem for a class of meromorphic functions, JIPAM. J. Inequal. Pure Appl. Math. 5 (1), Article 8, 4 pp. (electronic), 200 Supramaniam, S., Ali, R. M., Lee, S. K., Ravichandran, V. Convolution and differential subordination for multivalent functions, Bull. Malays. Math. Sci. Soc. 32 (2), 351–360, 200 Yang D.-G. and Liu, J.-L. On a class of analytic functions with missing coefficients, Appl. Math. Comput. 215, 3473–3481, 2010.
  • Yuan, S.-M., Liu Z.-M., Srivastava, H. M. Some inclusion relationship and integral preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators, J. Math. Anal. Appl. 337, 505–515, 2008.
There are 9 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Jin-lin Liu This is me

Publication Date February 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 2

Cite

APA Liu, J.-l. (2013). A Remark on Meromorphically Multivalent Functions withMissing Coefficients. Hacettepe Journal of Mathematics and Statistics, 42(2), 125-129.
AMA Liu Jl. A Remark on Meromorphically Multivalent Functions withMissing Coefficients. Hacettepe Journal of Mathematics and Statistics. February 2013;42(2):125-129.
Chicago Liu, Jin-lin. “A Remark on Meromorphically Multivalent Functions WithMissing Coefficients”. Hacettepe Journal of Mathematics and Statistics 42, no. 2 (February 2013): 125-29.
EndNote Liu J-l (February 1, 2013) A Remark on Meromorphically Multivalent Functions withMissing Coefficients. Hacettepe Journal of Mathematics and Statistics 42 2 125–129.
IEEE J.-l. Liu, “A Remark on Meromorphically Multivalent Functions withMissing Coefficients”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 2, pp. 125–129, 2013.
ISNAD Liu, Jin-lin. “A Remark on Meromorphically Multivalent Functions WithMissing Coefficients”. Hacettepe Journal of Mathematics and Statistics 42/2 (February 2013), 125-129.
JAMA Liu J-l. A Remark on Meromorphically Multivalent Functions withMissing Coefficients. Hacettepe Journal of Mathematics and Statistics. 2013;42:125–129.
MLA Liu, Jin-lin. “A Remark on Meromorphically Multivalent Functions WithMissing Coefficients”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 2, 2013, pp. 125-9.
Vancouver Liu J-l. A Remark on Meromorphically Multivalent Functions withMissing Coefficients. Hacettepe Journal of Mathematics and Statistics. 2013;42(2):125-9.