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Abstrakty
By introducing a new class of analytic functions with negative coefficients which involves the Wright's generalized hypergeometric function, we investigate the coefficient bounds, distortion theorems, extreme points and radii of convexity and starlikeness for this class of functions.
Wydawca
Czasopismo
Rocznik
Tom
Strony
533--542
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów
autor
- Department of Mathematics, College of Technology & Engineering, M.P. University of Agri. & Technology, Udaipur 313 001, Rajasthan, India
Bibliografia
- [1] J. H. Choi, Y. C. Kim and H. M. Srivastava, Starlikeness and convexity of fractional calculus operators, J. Pracl. Calc. 10 (1996), 75-89.
- [2] J. Dziok, Classes of functions defined by certain differential-integral operator, J. Comput. Appl. Math. 105 (1999), 245-255.
- [3] J. Dziok, H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hyper geometric function, Integral Transform. Spec. Funct. 14 (2003), 7-18.
- [4] J. Dziok, H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
- [5] J. Dziok, H. M. Srivastava, Some subclasses of analytic functions with fixed argument of coefficients functions associated with the generalized hypergeometric function, Adv. Stud. Contemp. Math. 5 (2002), 115-125.
- [6] R. K. Raina, On certain classes of analytic functions and applications to fractional calculus operators, Integral Transform. Spec. Funct 5 (1997), 247-260.
- [7] R. K. Raina and T. S. Nahar, A note on boundedness properties of Wright's generalized hypergeometric function, Ann. Math. Blaise Pascal 4 (1997), 83-95.
- [8] R. K. Raina and T. S. Nahar, On characterization of certain Wright's generalized hypergeometric functions involving certain subclasses of analytic functions, Informatica 10 (1999), 219-230.
- [9] R. K. Raina and T. S. Nahar, On univalent and starlike Wright's hypergeometric functions, Rend. Sem. Mat. Univ. Padova 95 (1996), 11-22.
- [10] H. M. Srivastava and M. K. Aouf, A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients, I and II, J. Math. Anal. Appl. 171 (1992), 1-13; ibid. 192 (1995), 673-688.
- [11] H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeomeric Series, Halsted Press (Ellis Horwood Ltd., Chichester), John Wiley and Sons, New York, Chichester, Brisbane and London, 1985.
- [12] E. M. Wright, The asymptotic expansion of the generalized hypergeometric function, Proc. London. Math. Soc. 46 (1946), 389-408.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0010-0027