Bibliography of Uniformly Convex/Uniformly Starlike Functions

R. M. Ali, Starlikeness associated with parabolic regions, Int. J. Math. Math. Sci. 2005, no. 4, 561-570.

R. M. Ali and V. Singh. Coefficients of parabolic starlike functions of order α. In Computational methods and function theory 1994 (Penang), volume 5 of Ser. Approx. Decompos., pages 23-36. World Sci. Publ., River Edge, NJ, 1995.

R. Bharati, R. Parvatham, and A. Swaminathan. On subclasses of uniformly convex functions and corresponding class of starlike functions. Tamkang J. Math., 28(1):17-32, 1997.

J. E. Brown. Images of Disks under Convex and Starlike Functions Math. Z., 202:457-462, 1989.

A. W. Goodman. On uniformly convex functions. Ann. Polon. Math., 56(1):87-92, 1991.

A. W. Goodman. On uniformly starlike functions. J. Math. Anal. Appl., 155: 364-370, 1991.

S. Kanas. Stability of convolution and dual sets for the class of k-uniformly convex and k-starlike functions. Zeszyty Nauk. Politech. Rzeszowskiej Mat., (22):51-64, 1998.

S. Kanas and H. M. Srivastava. Linear operators associated with k-uniformly convex functions. Integral Transform. Spec. Funct., 9(2):121-132, 2000.

S. Kanas and T. Yaguchi. Subclasses of k-uniformly convex and starlike functions defined by generalized derivative. I. Indian J. Pure Appl. Math., 32(9):1275-1282, 2001.

S. Kanas and T. Yaguchi. Subclasses of k-uniformly convex and starlike functions defined by generalized derivative. II. Publ. Inst. Math. (Beograd) (N.S.), 69(83):91-100, 2001.

S. Kanas and A. Wisniowska. Conic regions and k-uniform convexity. J. Comput. Appl. Math., 105(1-2):327-336, 1999. Continued fractions and geometric function theory (CONFUN) (Trondheim, 1997).

S. Kanas and A. Wi?niowska. Conic regions and k-uniform convexity. II. Zeszyty Nauk. Politech. Rzeszowskiej Mat., (22):65-78, 1998.

Y. C. Kim. Uniformly convexity properties of generalized hypergeometric functions. Math. Japon., 51(1):11-15, 2000.

Y. C. Kim and S. B. Lee. A note on uniformly convex functions. Panamer. Math. J., 5(1):83-87, 1995.

Y. C. Kim and S. Ponnusamy, Sufficiency for Gaussian hypergeometric functions to be uniformly convex, Int. J. Math. Math. Sci. 22 (1999), no. 4, 765-773. MR1733277

W. C. Ma and D. Minda. Uniformly convex functions. Ann. Polon. Math., 57(2):165-175, 1992.

W. C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157-169, Conf. Proc. Lecture Notes Anal., I Int. Press, Cambridge, MA.

W. C. Ma and D. Minda. Uniformly convex functions. II. Ann. Polon. Math., 58(3):275-285, 1993.

E. Merkes and M. Salmassi, Subclasses of uniformly starlike functions, Internat. J. Math. & Math. Sci. 15 (3) (1992) 449-454.

I. R. Nezhmetdinov, Classes of uniformly convex and uniformly starlike functions as dual sets, J. Math. Anal. Appl. 216 (1997), 40-47.

I. R. Nezhmetdinov,On the order of starlikeness of the class UST, J. Math. Anal. Appl. 234 (1999), 559-566.

K. S. Padmanabhan. On uniformly convex functions in the unit disk. J. Anal., 2:87-96, 1994.

V. Ravichandran. On uniformly convex functions. Ganita, 53(2):117-124, 2002.

V. Ravichandran. Some sufficient conditions for starlike functions associated with parabolic regions. Southeast Asian Bull. Math., 27(4):697-703, 2003.

V. Ravichandran, Functions starlike with respect to n-ply symmetric, conjugate and symmetric conjugate points, J. Indian Acad. Math. 26 (2004), no. 1, 35-45.

V. Ravichandran, Starlike and convex functions with respect to conjugate points, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20 (2004), no. 1, 31-37.

V. Ravichandran, A. Gangadharan, and T. N. Shanmugam. Sufficient conditions for starlikeness associated with parabolic region. Int. J. Math. Math. Sci., 32(5):319-324, 2002.

V. Ravichandran, M. Hussain Khan, H. Silverman, and K. G. Subramanian, Radius problems for a class of analytic functions, Demonstratio Math. 39 (2006), no. 1, 67-74.

V. Ravichandran, C. Selvaraj and R. Rajagopal, On uniformly convex spiral functions and uniformly spirallike functions, Soochow J. Math. 29 (2003), no. 4, 393-405.

V. Ravichandran, F. Rønning, and T. N. Shanmugam. Radius of convexity and radius of starlikeness for some classes of analytic functions. Complex Variables Theory Appl., 33(1-4):265-280, 1997.

V. Ravichandran and T. N. Shanmugam. Radius problems for analytic functions. Chinese J. Math., 23(4):343-351, 1995.

F. Rønning. A survey on uniformly convex and uniformly starlike functions. Ann. Univ. Mariae Curie-Sk?odowska Sect. A, 47:123-134, 1993.

F. Rønning. Uniformly convex functions and a corresponding class of starlike functions. Proc. Amer. Math. Soc., 118(1):189-196, 1993.

F. Rønning. On uniform starlikeness and related properties of univalent functions. Complex Variables Theory Appl., 24(3-4):233-239, 1994.

F. Rønning. Some radius results for univalent functions. J. Math. Anal. Appl., 194(1):319-327, 1995.

T. N. Shanmugam and V. Ravichandran. Certain properties of uniformly convex functions. In Computational methods and function theory 1994 (Penang), volume 5 of Ser. Approx. Decompos., pages 319-324. World Sci. Publ., River Edge, NJ, 1995.

K. G. Subramanian, G. Murugusundaramoorthy, P. Balasubrahmanyam, and H. Silverman. Subclasses of uniformly convex and uniformly starlike functions. Math. Japon., 42(3):517-522, 1995.

N. Xu and D. Yang, On α uniformly convex γ-spiral functions, Soochow J. Math. 31 (2005), no. 4, 561-571.