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Tytuł artykułu
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Abstrakty
The main object of this paper is to find certain conditions for the function [...] to be a member of certain subclasses of analytic functions. Our results provides generalization of some recent results due to Swaminathan [19] and Chaurasia and Srivastava [20].
Wydawca
Czasopismo
Rocznik
Tom
Strony
813--822
Opis fizyczny
Bibliogr. 21 poz.
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autor
autor
- Department of Mathematics, University of Rajasthan Jaipur-302004, India
Bibliografia
- [1] R. Balasubramanian, S. Ponnusamy and M. Vuorinen, On hypergeometric functions and function spaces, J. Comput. Appl. Math. 139 (2002), 299-322.
- [2] R. Bharati, R. Parvatham and A. Swaminathan, On subclasses of uniformly convex functions and corresponding class of starlike functions, Tamkang J. Math. 28 (1997), 17-32.
- [3] K. K. Dixit and S. K. P al, On a class of univalent functions related to complex order, Indian J. Pure Appl. Math. 26 (9) (1995), 889-896.
- [4] R. Fournier and St. Ruscheweyh, On two extremal problems related to univalent functions, Rocky Mountain J. Math. 24 (1994), 529-238.
- [5] A. Gangadharan, T. N. S hanmugam and H. M. Srivastava, Generalized hypergeometric functions associated with k-uniformly convex functions, Comput. Math. Appl. 44 (2002), 1515-1526.
- [6] A. W. G oodman, Univalent Functions, Vols. I and II, Polygonal Publishing House, Washington, New Jersey, 1983.
- [7] A. W. G oodman, On uniformly convex functions, Ann. Polon. Math. 56 (1991), 87-92.
- [8] S. Kanas and A. Wisniowska, Conic regions and k-uniform convexity, J. Comput. Appl. Math. 105 (1999), 327-336.
- [9] S. Kanas and A. Wisniowska, Conic regions and k-starlike functions, Rev. Roumaine Math. Pures Appl. 45 (2000), 647-0657.
- [10] S. Kanas and H. M. Srivastava, Linear operators associated with k-uniformly convex functions, Integral Transform. Spec. Funct. 9 (2000), 121-132.
- [11] Y. C. Kim and H. M. Srivastava, Fractional integral and other linear operators associated with the Gaussian hypergeometric function, Complex Variables Theory Appl. 34 (1997), 293-312.
- [12] Y. C. Kim and F. Rønning, Integral transforms of certain subclasses of analytic functions, J. Math. Anal. Appl. 258 (2001), 466-486.
- [13] A. K. Mishra and H. M. Srivastava, Applications of fractional calculus to parabolic starlike and uniformly convex functions, Comput. Math. Appl. 39 (3/4) (2000), 57-69.
- [14] S. Ponnusamy, and F. Rønning, Duality for Hadamard products applied to certain integral transforms, Complex Variables Theory Appl. 32 (1997), 263-287.
- [15] S. Ponnusamy, Hypergeometric transforms of functions with derivative in a half plane, J. Comput. Appl. Math. 96 (1998), 35-49.
- [16] F. Rønning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 18 (1993), 189-196.
- [17] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51 (1975), 109-116.
- [18] H. Silverman, Convolutions of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Skodowska Sect. A 29 (1975), 99-107.
- [19] A. Swaminathan, Certain sufficiency conditions on Gaussian hypergeometric functions, J. Ineq. Pure Appl. Math. 5 (4), 83 (2004).
- [20] V. B. L. Chaurasia, and A. Srivastava, Uniformly starlike and uniformly convex functions pertaining to special functions, J. Ineq. Pure Appl. Math. 9 (1), 30 (2008).
- [21] H. M. Srivastava and H. L. Manocha,A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wileyand Sons, New York, Chichester, Brisbane, and Toronto, 1984.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0023-0002