Some inclusion properties of the class Pα(β)

Integral Transforms and Special Functions

Volumn 8, Issue 1-2, 1999, Pages 57-64

  Li, Jian Lin ^a   Srivastava, H M ^b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Analytic functions; Fractional derivative; Fractional integral; Gamma function; Generalized hypergeometric function; Inclusion properties; Integral operator; Multiplier transformation; Pochhammer symbol

Indexed keywords

EID: 0013439547     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652469908819216     Document Type: Article

References (6)

1. P.L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenshaften 259, Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo, 1983.
2. T.M. Flett, The dual of an inequality of Hardy and Littlewood and some related inegualities, J. Math. Anal. Appl. 38(1972), 746-765.
3. A.W. Goodman, Univalent Functions, 1, 2, Polygonal Publishing House, Washington, New Jersey, 1983.
4. α(β), J. Math. Anal. Appl. 187(1994), 498-512.
5. H.M. Srivastava and P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1985.
6. H.M. Srivastava and S. Owa (Editors), Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1989.