Abstract
AbstractIn this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles of q-derivative operator. We obtain new criteria of sense preserving and univalency. We also address other important aspects, such as distortion limits, preservation of convolution, and convexity limitations. Additionally, with the help of sufficiency criteria, we estimate sharp bounds of the real parts of the ratios of meromorphic harmonic functions to their sequences of partial sums.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference55 articles.
1. Agrawal, S., Sahoo, S.K.: A generalization of starlike functions of order alpha. Hakkaido Math. J. 46(1), 15–27 (2017)
2. Ahuja, O.P., Jahangiri, J.M.: Certain meromorphic harmonic functions. Bull. Malays. Math. Sci. Soc. 25(1), 1–10 (2002)
3. Al-Dweby, H., Darus, M.: On harmonic meromorphic functions associated with basic hypergeometric functions. Sci. World J. 2013, Article ID 164287 (2013)
4. Al-Shaqsi, K., Darus, M.: On meromorphic harmonic functions with respect to k-symmetric points. J. Inequal. Appl. 2008, Article ID 259205 (2008)
5. Al-Zkeri, H.A., Al-Oboudi, F.: On a class of harmonic starlike multivalent meromorphic functions. Int. J. Open Probl. Complex Anal. 3(2), 68–81 (2011)
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