Bibliography of Uniformly Convex/Uniformly Starlike Functions

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

  2. 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.

  3. 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.

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

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

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

  7. 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.

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

  9. 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.

  10. 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.

  11. 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).

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

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

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

  15. 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

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

  17. 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.

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

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

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

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

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

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

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

  25. 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.

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

  27. 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.

  28. 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.

  29. 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.

  30. 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.

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

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

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

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

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

  36. 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.

  37. 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.

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