You are here

A Certain Subclass of P-valently Analytic Functions of BazileviČ Type

Journal Name:

Publication Year:

Abstract (2. Language): 
Using extended Ruscheweyh derivatives we define a new subclass of p-valently analytic functions which are of Bazilevič-type. We denote the new subclass as M(n, p,α,β) . We find some sufficient conditions and angular properties for functions belonging to the subclass M(n, p,α,β) .
171-178

JEL Codes:

REFERENCES

References: 

[1] I.E. Bazilevič, Über einen fall der integrierbarkeit in der gleichung von Löwner-
Kufarev, Maths. Sb. 37 (1955), 471-476.
[2] P.J Eenigenberg & E.M Silvia, A coefficient inequality for Bazilevič functions.
Annales Univ. Mariae Curie-Sklodowska 27 (1973), 5-12.
[3] I.S Jack, Functions starlike and convex of order α , J. London Math. Soc. 3(2)
(1971), 469–474.
[4] M. Nunokawa, On the order of strongly starlikeness of strongly convex functions,
Proc. Japan Acad. Ser. Math. Sci. 69 (1993), 234-237.
[5] S. Ruscheweyh, New criteria for univalent functions. Proc. Amer.Math. Soc. 49
(1975), 109-115.
[6] T. Sekine, S. Owa & M. Obradovic, A certain class of p-valent functions with
negative coefficients,Current Topics in Analytic Function Theory. Srivastava, H.M.
& Owa, S. (Eds.) : World Scientific Publishing Co. Pte Ltd. (1992).
[7] D.K. Thomas, On Bazilevič functions. Quart J. Maths. Oxford Ser. 23(90) (1972),
135-142.

Thank you for copying data from http://www.arastirmax.com