Construction of a certain class of harmonic close-to-convex functions associated with the Alexander integral transform

Integral Transforms and Special Functions

Volumn 14, Issue 3, 2003, Pages 237-242

  Jahangiri, Jay M ^a   Kim, Yong Chan ^b   Srivastava, H M ^c  

^a KENT STATE UNIVERSITY   (United States)

^b Yeungnam University   (South Korea)

^c UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Alexander integral transform; Analytic functions; Close to convex functions; Convex functions; Harmonic functions; Starlike functions

Indexed keywords

EID: 0242297807     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/1065246031000074380     Document Type: Article

References (6)

1. Alexander, J. W. (1915-1916). Functions which map the interior of the unit circle upon simple regions. Ann. of Math. (Ser. 2), 17, 12-22.
2. Clunie, J. and Sheil-Small, T. (1984). Harmonic univalent functions. Ann. Acad. Sci. Fenn. Ser. A I Math., 9, 3-25.
3. Duren, P. L. (1983). Univalent Functions, Grundlehren der Mathematishcen Wissenschaften. Bd. 259, Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo.
4. Jahangiri, J. M. and Silverman, H. (2002). Harmonic close-to-convex mappings. J. Appl. Math. Stochast. Anal., 15, 23-28.
5. Lewy, H. (1936). On the non-vanishing of the Jacobian in certain one-to-one mappings. Bull. Amer. Math. Soc., 42, 689-692.
6. Srivastava, H. M. and Owa, S. (Eds.) (1992). Current Topics in Analytic Function Theory. World Scientific Publishing Company, Singapore, New Jersey, London, and Hong Kong.