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

Çetinkaya, Asena; Polatoğlu, Yaşar

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

dc.contributor	Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer Science	tr_TR
dc.contributor.author	Çetinkaya, Asena
dc.contributor.author	Polatoğlu, Yaşar
dc.contributor.authorID	199370	tr_TR
dc.date.accessioned	2018-11-19T13:50:07Z
dc.date.available	2018-11-19T13:50:07Z
dc.date.issued	2018
dc.description.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.	tr_TR
dc.identifier.issn	1303-5010
dc.identifier.scopus	2-s2.0-85051266924
dc.identifier.scopus	2-s2.0-85051266924	en
dc.identifier.uri	https://doi.org/10.15672/HJMS.2017.480
dc.identifier.uri	https://hdl.handle.net/11413/3435
dc.identifier.wos	440677100004
dc.identifier.wos	440677100004	en
dc.language.iso	en_US	tr_TR
dc.publisher	Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey	tr_TR
dc.relation	Hacettepe Journal of Mathematics and Statistics	tr_TR
dc.subject	q-difference operator	tr_TR
dc.subject	q-harmonic mapping	tr_TR
dc.subject	q-convex function of complex order	tr_TR
dc.title	q-Harmonic mappings for which analytic part is q-convex functions of complex order	tr_TR
dc.type	Article	tr_TR
dspace.entity.type	Publication
local.indexed.at	SCOPUS
local.indexed.at	WOS

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