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q-Harmonic mappings for which analytic part is q-convex functions of complex order

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Author
Çetinkaya, Asena
Polatoğlu, Yaşar
Type
Article
Date
2018
Language
en_US
Metadata
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Abstract
We introduce a new class of harmonic function f, that is subclass of planar harmonic mapping associated with q-difference operator. Let h and g are analytic functions in the open unit disc D = {z : vertical bar z vertical bar < 1}. If f = h + <(g)over bar> is the solution of the non-linear partial differential equation w(q)(z) - D(q)g(z)/D(q)h(z) - (f) over bar(z) over bar /fz with vertical bar w(q)(z)vertical bar < 1, w(q)(z) (sic) b(1)1+z/1-qz and h is q-convex function of complex order, then the class of such functions are called q-harmonic functions for which analytic part is q-convex functions of complex order denoted by S-HCq(b). Obviously that the class S-HCq(b) is the subclass of S-H. In this paper, we investigate properties of the class S-HCq(b) by using subordination techniques.
Subject
q-difference operator
q-harmonic mapping
q-convex function of complex order
URI
https://doi.org/10.15672/HJMS.2017.480
https://hdl.handle.net/11413/3435
Collections
  • Makaleler / Articles [209]
  • Scopus Publications [724]
  • WoS Publications [1016]

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İstanbul Kültür University

Hakkında |Politika | Kütüphane | İletişim | Send Feedback | Admin

Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS