Buradasınız

General Integral Operators of p-valent Functions

Journal Name:

Publication Year:

AMS Codes:

Abstract (2. Language): 
In this paper we study new general integral operators of p-valent functions, which have to cover several integral operators from literature. We give sufficient conditions for these operators to be p-valently starlike, p-valently close-to-convex, uniformly p-valent close-to-convex and strongly starlike of order τ (0 < τ ≤ 1) in U (open unit disk).
105-119

REFERENCES

References: 

[1] M. Acu, I. Dorca, and S. Owa. On some starlike functions with negative coefficients, Proceedings
of the Interational Coference on Theory and Applications of Mathematics and
Informatics, ICTAMI 2011, Alba Iulia. 2011.
[2] M. Acu and S. Owa. Note on a class of starlike functions, Proceeding Of the International
Short Joint Work on Study on Calculus Operators in Univalent Function Theory - Kyoto,
1-10. 2006.
[3] H.A. Al-Karsani and S.S. Al-Hajiry. A note on certain inequalities for p-valent functions, J.
Inequal. Pure Appl. Math., 9(3), Art. 90. 2008.
[4] D. Breaz. Integral operators on univalent function spaces, Ed. Acad. Romˆane, Bucure¸sti,
159-203. 2004.
[5] I. Dorca, M. Acu, and D. Breaz. Note on Neighborhoods of Some Classes of Analytic
Functions with Negative Coefficients, ISRN Mathematical Analysis, vol. 2011, Article ID
610549, 7 pages, 2011. doi:10.5402/2011/610549. 2011.
[6] J. Dziok. Applications of the Jack lemma, Acta Math. Hungar., 105(1-2), 93-102. 2004.
[7] B. A. Frasin. Integral Operators of p-valent Functions, J. Inequal. Pure Appl. Math., 10(4),
Art. 109. 2009.
[8] A.W. Goodman. On uniformly starlike functions, J. Math. Anal. Appl., 55, 364-370. 1991.
[9] Y.J. Kim and E.P. Merkes. On an integral of powers of a spirallike function, Kyungpook
Mathematical Journal, 12, 249-252. 1972.
[10] M. Nunokawa. On the multivalent functions, Indian J. Pure Appl. Math., 20, 577-582.
1989.
[11] M. Nunokawa, S. Owa and A. Ikeda. On the strongly starlikeness of multivalently convex
functions of order α, IJMMS, 28(1), 51-55. 2001.
REFERENCES 119
[12] S. Owa. On the Nunokawas conjecture for multivalent functions, Bull. Austral. Math. Soc.,
41, 301-305. 1990.
[13] N.N. Pascu and V. Pescar. On the integral operators of Kim-Merkes and Pfaltzgraff, Mathematica,
32(55)(2), 185-192. 1990.
[14] R.K. Raina and I.B. Bapna. Inequalities defining ceratin subclasses of analytic functions
involving fractional calculus operators, J. Inequal. Pure Appl. Math., 5(2), Art. 28. 2004.

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