#### Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality

Yıl: 2021 Cilt: 45 Sayı: 2 Sayfa Aralığı: 678 - 694 Metin Dili: İngilizce İndeks Tarihi: 22-09-2021

Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality

Öz:
In this paper, we consider a class of normalized harmonic functions in the unit disk satisfying a third-orderdifferential 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 harmonicpolynomials involving Gaussian hypergeometric function which belong to the considered class. We also provide examplesillustrating graphically with the help of Maple.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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 APA YAŞAR E, Yalçın S (2021). Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. , 678 - 694. 10.3906/mat-2004-50 Chicago YAŞAR Elif,Yalçın Sibel Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. (2021): 678 - 694. 10.3906/mat-2004-50 MLA YAŞAR Elif,Yalçın Sibel Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. , 2021, ss.678 - 694. 10.3906/mat-2004-50 AMA YAŞAR E,Yalçın S Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. . 2021; 678 - 694. 10.3906/mat-2004-50 Vancouver YAŞAR E,Yalçın S Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. . 2021; 678 - 694. 10.3906/mat-2004-50 IEEE YAŞAR E,Yalçın S "Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality." , ss.678 - 694, 2021. 10.3906/mat-2004-50 ISNAD YAŞAR, Elif - Yalçın, Sibel. "Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality". (2021), 678-694. https://doi.org/10.3906/mat-2004-50
 APA YAŞAR E, Yalçın S (2021). Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. Turkish Journal of Mathematics, 45(2), 678 - 694. 10.3906/mat-2004-50 Chicago YAŞAR Elif,Yalçın Sibel Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. Turkish Journal of Mathematics 45, no.2 (2021): 678 - 694. 10.3906/mat-2004-50 MLA YAŞAR Elif,Yalçın Sibel Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. Turkish Journal of Mathematics, vol.45, no.2, 2021, ss.678 - 694. 10.3906/mat-2004-50 AMA YAŞAR E,Yalçın S Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. Turkish Journal of Mathematics. 2021; 45(2): 678 - 694. 10.3906/mat-2004-50 Vancouver YAŞAR E,Yalçın S Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. Turkish Journal of Mathematics. 2021; 45(2): 678 - 694. 10.3906/mat-2004-50 IEEE YAŞAR E,Yalçın S "Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality." Turkish Journal of Mathematics, 45, ss.678 - 694, 2021. 10.3906/mat-2004-50 ISNAD YAŞAR, Elif - Yalçın, Sibel. "Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality". Turkish Journal of Mathematics 45/2 (2021), 678-694. https://doi.org/10.3906/mat-2004-50