Families of analytic functions associated with the Wright generalized hypergeometric functions

• Autorzy: Dziok J. , Raina R. K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

analytic functions; convex functions; starlike functions; linear operators

PL

funkcje analityczne; funkcje wypukłe; funkcje gwiaździste; operatory linearne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 533--542
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Dziok J.

• Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów

autor

Raina R. K.

• 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.