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Year 2019, Volume: 9 Issue: 3 , 413 - 423 , 01.09.2019
https://izlik.org/JA44RA95DF

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
https://izlik.org/JA44RA95DF

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
Authors

A. Zireh This is me

M. M. Shabani This is me

Publication Date September 1, 2019
IZ https://izlik.org/JA44RA95DF
Published in Issue Year 2019 Volume: 9 Issue: 3

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