Research Article

ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS

Volume: 37 Number: 2 February 1, 2008
  • H. A. Al-kharsani
  • N. M. Al-areefi
EN TR

ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS

Abstract

Using the results of first order differential subordinations and superordinations, we define and discuss new classes of p-valent functions involving the Dziok-Srivastava operator and multiplier transformation. 

Keywords

References

  1. Al-Kharsani, H. A. and Al-Khal, R. A. Generalized integral operator and univalent functions, Int. J. Math. Anal. 1 (15), 709–718, 2007.
  2. Bernardi, S. D. Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135, 429–446, 1969.
  3. Bulboac˘a, T. A class of superordination-preserving integral operators, Indag. Math. (N.S.) 13(3), 301–311, 2002.
  4. Bulboac˘a, T. Classes of first-order differential superordinations, Demonstratio Math. 35 (2), 287–292, 2002.
  5. Carlson, B. C. and Shaffer, D. B. Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (4), 737–745, 1984.
  6. Cho, N. E. and Srivastava, H. M. Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modeling 37 (1-2), 39–43, 2003.
  7. Cho, N. E. and Kim, T. H. Multiplier transformations and strongly close-to-convex func- tions, Bull. Korean Math. Soc. 40 (3), 399–410, 2003.
  8. Dziok, J. and Srivastava, H. M. Certain subclasses of analytic functions associated with the generalized hypergeometric functions, Integral Transforms Spec. Funct. 14 (1), 7–18, 2003. [9] Hohlov, Ju. E. Operators and operations on the class of univalent functions, Izv. Vyssh. Uchebn. Zaved. Math. 10 (197), 83–89, 1978.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

H. A. Al-kharsani This is me

N. M. Al-areefi This is me

Publication Date

February 1, 2008

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2008 Volume: 37 Number: 2

APA
Al-kharsani, H. A., & Al-areefi, N. M. (2008). ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS. Hacettepe Journal of Mathematics and Statistics, 37(2), 115-127. https://izlik.org/JA37YL64LY
AMA
1.Al-kharsani HA, Al-areefi NM. ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):115-127. https://izlik.org/JA37YL64LY
Chicago
Al-kharsani, H. A., and N. M. Al-areefi. 2008. “ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS”. Hacettepe Journal of Mathematics and Statistics 37 (2): 115-27. https://izlik.org/JA37YL64LY.
EndNote
Al-kharsani HA, Al-areefi NM (February 1, 2008) ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS. Hacettepe Journal of Mathematics and Statistics 37 2 115–127.
IEEE
[1]H. A. Al-kharsani and N. M. Al-areefi, “ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, pp. 115–127, Feb. 2008, [Online]. Available: https://izlik.org/JA37YL64LY
ISNAD
Al-kharsani, H. A. - Al-areefi, N. M. “ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS”. Hacettepe Journal of Mathematics and Statistics 37/2 (February 1, 2008): 115-127. https://izlik.org/JA37YL64LY.
JAMA
1.Al-kharsani HA, Al-areefi NM. ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37:115–127.
MLA
Al-kharsani, H. A., and N. M. Al-areefi. “ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, Feb. 2008, pp. 115-27, https://izlik.org/JA37YL64LY.
Vancouver
1.H. A. Al-kharsani, N. M. Al-areefi. ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2008 Feb. 1;37(2):115-27. Available from: https://izlik.org/JA37YL64LY