Starlike functions of complex order involving q-hypergeometric functions with fixed point
Abstract
Keywords
Mathematics Subject Classification (2010)
References
Aabed, Md. and M. Darus. "A generalized operator involving the q-hypergeometric function." Mat. Vesnik 65.4 (2013): 454-465.
Altintas, O., O. Ozkan and H.M. Srivastava. "Neighborhoods of a class of analytic functions with negative coefficients." Appl. Math. Lett. 13.3 (2000): 63-67.
Aouf, M.K., et al. "A subclass of M-W-starlike functions." Univ. Apulensis Math. Inform. 21 (2010): 135-142.
Bernardi, S.D. "Convex and starlike univalent functions." Trans. Amer. Math. Soc. 135 (1969): 429-446.
Carlson, B.C. and S.B. Shaffer. "Starlike and prestarlike hypergeometric functions." SIAM J. Math. Anal. 15.4 (1984): 737-745.
Dziok, J. and H.M. Srivastava. "Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103.1 (1999): 1-13.
---. "Certain subclasses of analytic functions associated with the generalized hypergeometric function." Integral Transforms Spec. Funct. 14.1 (2003): 7-18.
Goodman, A.W. "Univalent functions and nonanalytic curves." Proc. Amer. Math. Soc. 8 (1957): 598-601.
Kanas, S. and F. Rønning. "Uniformly starlike and convex functions and other related classes of univalent functions." Ann. Univ. Mariae Curie-Skłodowska Sect. A 53 (1999): 95-105.
Libera, R.J. "Some classes of regular univalent functions." Proc. Amer. Math. Soc. 16 (1965): 755-758.
---. "Univalent alpha-spiral functions." Canad. J. Math. 19 (1967): 449-456.
Littlewood, J.E. "On inequalities in theory of functions." Proc. Lond. Math. Soc. 23 (1925): 481-519.
Livingston, A.E. "On the radius of univalence of certain analytic functions." Proc. Amer. Math. Soc. 17 (1966): 352-357.
Murugusundaramoorthy, G. and H.M. Srivastava. "Neighborhoods of certain classes of analytic functions of complex order." JIPAM. J. Inequal. Pure Appl. Math. 5.2 (2004): Article 24, 8 pp.
Purohit, S.D. and R.K. Raina. "Certain subclasses of analytic functions associated with fractional q-calculus operators." Math. Scand. 109.1 (2011): 55-70.
Ruscheweyh, S. "New criteria for univalent functions." Proc. Amer. Math. Soc. 49 (1975): 109-115.
---. "Neighborhoods of univalent functions." Proc. Amer. Math. Soc. 81.4 (1981): 521-527.
Špacek L. "Príspevek, k teorii funkci prostých." Casopis Pest. Math. 63 (1933): 12-19.
Silverman H. "Univalent functions with negative coefficients." Proc. Amer. Math. Soc. 51 (1975): 109-116.
---. "Integral means for univalent functions with negative coefficients." Houston J. Math. 23.1 (1997): 169-174.
Srivastava, H.M. and S. Owa. "A note on certain subclasses of spiral-like functions." Rend. Sem. Mat. Univ. Padova 80 (1988): 17-24.
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