Person: YAŞAR, ELİF
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YAŞAR
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ELİF
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Publication Convolutions of a subclass of harmonic univalent mappings(Türk Dünyası Matematik Topluluğu, 2020-01-01) Yaşar, Elif; Özdemir, Özge; YAŞAR, ELİF; ÖZDEMİR, ÖZGE; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi; 0000-0003-0176-4961; AAG-8247-2021; JGU-1442-2023The main object of this paper is to investigate the convolution of a subclass of harmonic univalent mappings which is denoted by f(a) and generalized harmonic univalent mapping which is denoted by P-c. We obtained P-c * f(a) is univalent and convex in the horizantal direction for 0 < c <= 2(1-a)/1+a. In addition, we present an example and illustrate it graphically with the help of Maple to explain the behaviour of image domain.Publication On convolutions of slanted half-plane mappings(Taylor, 2021-01-01) Yaşar, Elif; YAŞAR, ELİF; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0003-0176-4961; AAG-8247-2021The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions. Briefly, we obtain under which conditions the convolution of a right half-plane harmonic mapping having a dilatation -z and a slanted half-plane harmonic mapping with beta having a dilatation e(i mu)rho+z/1+rho z (|rho| < 1 and mu is an element of R) is univalent and convex in the direction -beta. We also provide an example illustrating graphically with the help of Maple to illuminate the result.Publication Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality(Tubitak Scientific & Technological Research Council Turkey, 2021) Yaşar, Elif; Yalçın, Sibel; YAŞAR, ELİF; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0003-0176-4961; 0000-0002-0243-8263; AAG-8247-2021; AAE-9745-2020In this paper, we consider a class of normalized harmonic functions in the unit disk satisfying a third-order differential inequality and we investigate several properties of this class such as close-to-convexity, coefficient bounds, growth estimates, sufficient coefficient condition, and convolution. Moreover, as an application, we construct harmonic polynomials involving Gaussian hypergeometric function which belong to the considered class. We also provide examples illustrating graphically with the help of Maple.Publication Convolutions of harmonic mappings convex in the horizontal direction(Hindawi, 2021-09-06) Çakmak, Serkan; Yaşar Elif; Yalçın Sibel; YAŞAR, ELİF; Çakmak, Serkan; Yalçın Sibel; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0003-0176-4961; 0000-0002-0243-8263; 0000-0003-0368-7672; GZG-2072-2022; AAG-8247-2021; AAE-9745-2020In this paper, we establish some results concerning the convolutions of harmonic mappings convex in the horizontal direction with harmonic vertical strip mappings. Furthermore, we provide examples illustrated graphically with the help of Maple to illuminate the results.Publication Generalized Salagean-type harmonic univalent functions(Univ Babes-bolyai, 2012-09-01) Yaşar, Elif; Yalçın, Sibel; YAŞAR, ELİF; YALÇIN TOKGÖZ, SİBEL; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0003-0176-4961; 0000-0002-0243-8263; AAE-9745-2020; AAG-8247-2021The main purpose of this paper is to introduce a generalization of modified Salagean operator for harmonic univalent functions. We define a new subclass of complex-valued harmonic univalent functions by using this operator, and we investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points and convex combination for the above class of harmonic univalent functions.