On a certain class of analytic functions involving hypergeometric functions

• Autorzy: Khosravianarab Sh. , Kulkarni S. R. , Raina R. K.
• Języki publikacji: EN

Abstrakty

EN

A certain class of functions analytic in the open unit disk and defined in terms of hypergeometric functions is introduced and investigated. We establish starlikeness, convexity and spirallikeness properties for this class of functions. Special cases and some useful consequences of our main results are aslo mentioned.

Słowa kluczowe

EN

starlike function; convex function; spirallike functions; hypergeometric function

PL

funkcja gwiaździsta; funkcja wypukła; funkcja hipergeometryczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 32
• Strony: 53--61
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Khosravianarab Sh.

autor

Kulkarni S. R.

autor

Raina R. K.

• Department of Mathematics Pune University, Pune, India,

Bibliografia

• [1] Fukui S., Owa S., Sakaguchi K., Some properties of analytic functions of Koebe type, in: H.M. Srivastava, S. Owa (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992, pp.106.J. Dziok, Applications of the Jack lemma, Acta. Math. Hungar. 105 (2004), 93-102.
• [2] Mitrinovic D.S., On the univalence of rational functions, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 634-677 (1979) 221-227.
• [3] Raina R.K., Bansal D.K., Some properties of a certain class of rational functions, Appl. Math. Comput., 187(2007),403-407.
• [4] Reade M.O., Silverman H., Todorov P.G., Classes of rational functions, in: D.B. Shaffer (Ed.), Contemporary Mathematics: Topics in Complex Analysis, 38, American Mathematical Society, Providence, Rhode Island, 1985, pp. 99-103.
• [5] Srivastava H. M., Karlsson P. W., Multiple Gaussian Hypergeometric Series. A Halsted Press Book (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1985.