ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS

Volume: 9 Number: 3 September 1, 2019
  • A. Zireh
  • M. M. Shabani
EN

ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS

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.

Keywords

References

  1. 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.
  2. Clunie, J., and Sheil-Small, T., (1984), Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9, pp 3-25.
  3. 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.
  4. Frasin, B. A., (2005), Partial sums of certain analytic and univalent functions, Acta Math. Acad. Paed. Nyir., 21, pp 135-145.
  5. Frasin, B. A., (2008), Generalization of partial sums of certain analytic and univalent functions, Applied Mathematics Letters, 21, no. 7, pp 735-741.
  6. 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.
  7. Porwal, S., and Dixit, K. K., (2010), Partial sums of starlike harmonic univalent functions, Kyungpook Mathematical Journal, 50, no. 3, pp 433-445.
  8. 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.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

A. Zireh This is me

M. M. Shabani This is me

Publication Date

September 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Zireh, A., & Shabani, M. M. (2019). ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 9(3), 413-423. https://izlik.org/JA44RA95DF
AMA
1.Zireh A, Shabani MM. ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS. JAEM. 2019;9(3):413-423. https://izlik.org/JA44RA95DF
Chicago
Zireh, A., and M. M. Shabani. 2019. “ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 9 (3): 413-23. https://izlik.org/JA44RA95DF.
EndNote
Zireh A, Shabani MM (September 1, 2019) ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 9 3 413–423.
IEEE
[1]A. Zireh and M. M. Shabani, “ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS”, JAEM, vol. 9, no. 3, pp. 413–423, Sept. 2019, [Online]. Available: https://izlik.org/JA44RA95DF
ISNAD
Zireh, A. - Shabani, M. M. “ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 9/3 (September 1, 2019): 413-423. https://izlik.org/JA44RA95DF.
JAMA
1.Zireh A, Shabani MM. ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS. JAEM. 2019;9:413–423.
MLA
Zireh, A., and M. M. Shabani. “ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 3, Sept. 2019, pp. 413-2, https://izlik.org/JA44RA95DF.
Vancouver
1.A. Zireh, M. M. Shabani. ON THE PARTIAL SUMS OF CONVEX HARMONIC UNIVALENT FUNCTIONS. JAEM [Internet]. 2019 Sep. 1;9(3):413-2. Available from: https://izlik.org/JA44RA95DF