Application of strip domain and parabolic region on univalent holomorphic functions
Keywords:
Univalent function, strip domain, prabolic re on parabolic starlike function, parabolic convex functions
Abstract
In this paper, by using univalent functions connected with the strip domain,
parabolic starlike and parabolic uniformly convex functions are introduced.
Some relations between these classes are proved.
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References
[1] K. Kuroki and S. Owa, New class for certain analytic functions concerned with the strip domains, Adv, Math. Sci. J. , Scientific J. , 2(2), (2013), 63-70
[2] Sh. Najafzaded and S.R. Kulkarni, Convex subclass of starlike functions in terms of combination of integral operators, Int. Review of pure and Appl. Math. 2(1), (2006),
[3] F. Rϕnning, On starlike functions associated with parabolic regions, Ann. Univ. Marie Cure-sklod Owska Sect. A, 45. (1991), 117-122.
[4] H.M. Srivastava, A.K. Mishra, Applications of fractional calculus to parabolic starlike and uniformly convex functions, Comput. Math. Appl. 39(3/4), (2000), 57-69.
[5] H.M. Srivastava, A. K. Mishra and M.K. Das, A class of parabolic starlike functions, Fractional Calulus and Applied Analysis, 6(3), (2003).
[2] Sh. Najafzaded and S.R. Kulkarni, Convex subclass of starlike functions in terms of combination of integral operators, Int. Review of pure and Appl. Math. 2(1), (2006),
[3] F. Rϕnning, On starlike functions associated with parabolic regions, Ann. Univ. Marie Cure-sklod Owska Sect. A, 45. (1991), 117-122.
[4] H.M. Srivastava, A.K. Mishra, Applications of fractional calculus to parabolic starlike and uniformly convex functions, Comput. Math. Appl. 39(3/4), (2000), 57-69.
[5] H.M. Srivastava, A. K. Mishra and M.K. Das, A class of parabolic starlike functions, Fractional Calulus and Applied Analysis, 6(3), (2003).
Published
2021-12-18
How to Cite
Najafzadeh, S. (2021). Application of strip domain and parabolic region on univalent holomorphic functions. Al-Qadisiyah Journal of Pure Science, 26(5), Math 66-71. https://doi.org/10.29350/qjps.2021.26.5.1436
Issue
Section
Mathematics
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