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Year 2019, Volume: 9 Issue: 3, 413 - 423, 01.09.2019

Abstract

References

  • Abubaker, A., and Darus, M., (2010), Partial sums of analytic functions involving generalized Cho-Kwon- Srivastava operator, Int. J. Open Prob. Compl. Anal., 2(3), pp 181-188.
  • Clunie, J., and Sheil-Small, T., (1984), Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9, pp 3-25.
  • Dixit, K. K., and Porwal, S., (2009), A convolution approach on partial sums of certain analytic and univalent functions, J. Inequal. Pure Appl. Math., 10(4), Art. 101, pp 1-17.
  • Frasin, B. A., (2005), Partial sums of certain analytic and univalent functions, Acta Math. Acad. Paed. Nyir., 21, pp 135-145.
  • Frasin, B. A., (2008), Generalization of partial sums of certain analytic and univalent functions, Applied Mathematics Letters, 21, no. 7, pp 735-741.
  • Jahangiri, J. M., (1998), Coefficient bounds and univalence criteria for harmonic functionswith negative coefficients, Ann. Univ. Mariae Cruie-Sklodowska Sect. A 52, no. 2, pp 57-66.
  • Porwal, S., and Dixit, K. K., (2010), Partial sums of starlike harmonic univalent functions, Kyungpook Mathematical Journal, 50, no. 3, pp 433-445.
  • Raina, R. K., and Bansal, D., (2008), Some properties of a new class of analytic functions defined in terms of a Hadamard product, J. Inequal. Pure. Appl. Math. 9, No. 1, Art 22, pp 1-9.
  • Rosy, T., Subramanian, K. G., and Murugusundaramoorthy, G., (2003), Neighbourhoods and partial sums of starlike functions based on Ruscheweyh derivatives, J.Ineq. Pure and Appl. Math., 4(64).
  • Silverman, H., (1997), Partial sums of starlike and convex functions, Journal of Mathematical Analysis and Applications, 209, no. 1, pp 221-227.
  • Silvia, E.M., (1985), Partial sums of convex functions of order α, Houston.J.Math., Math.Soc., 11(3), pp 397-404.

ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS

Year 2019, Volume: 9 Issue: 3, 413 - 423, 01.09.2019

Abstract

Partial sums of analytic univalent functions and partial sums of starlike have been investigated extensively by several researchers. In this paper, we investigate a partial sums of convex harmonic functions that are univalent and sense preserving in the open unit disk.

References

  • Abubaker, A., and Darus, M., (2010), Partial sums of analytic functions involving generalized Cho-Kwon- Srivastava operator, Int. J. Open Prob. Compl. Anal., 2(3), pp 181-188.
  • Clunie, J., and Sheil-Small, T., (1984), Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9, pp 3-25.
  • Dixit, K. K., and Porwal, S., (2009), A convolution approach on partial sums of certain analytic and univalent functions, J. Inequal. Pure Appl. Math., 10(4), Art. 101, pp 1-17.
  • Frasin, B. A., (2005), Partial sums of certain analytic and univalent functions, Acta Math. Acad. Paed. Nyir., 21, pp 135-145.
  • Frasin, B. A., (2008), Generalization of partial sums of certain analytic and univalent functions, Applied Mathematics Letters, 21, no. 7, pp 735-741.
  • Jahangiri, J. M., (1998), Coefficient bounds and univalence criteria for harmonic functionswith negative coefficients, Ann. Univ. Mariae Cruie-Sklodowska Sect. A 52, no. 2, pp 57-66.
  • Porwal, S., and Dixit, K. K., (2010), Partial sums of starlike harmonic univalent functions, Kyungpook Mathematical Journal, 50, no. 3, pp 433-445.
  • Raina, R. K., and Bansal, D., (2008), Some properties of a new class of analytic functions defined in terms of a Hadamard product, J. Inequal. Pure. Appl. Math. 9, No. 1, Art 22, pp 1-9.
  • Rosy, T., Subramanian, K. G., and Murugusundaramoorthy, G., (2003), Neighbourhoods and partial sums of starlike functions based on Ruscheweyh derivatives, J.Ineq. Pure and Appl. Math., 4(64).
  • Silverman, H., (1997), Partial sums of starlike and convex functions, Journal of Mathematical Analysis and Applications, 209, no. 1, pp 221-227.
  • Silvia, E.M., (1985), Partial sums of convex functions of order α, Houston.J.Math., Math.Soc., 11(3), pp 397-404.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

A. Zireh This is me

M. M. Shabani This is me

Publication Date September 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 3

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