본문 바로가기
KERD
논문KCI 등재

Subordination Results for Certain Classes of Multivalently Analytic Functions with a Convolution Structure

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.

Abstract

In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.

참고문헌 (18)

  1. Abramowitz, M, "Handbook of Mathematical Functions and Formulas in Graphs and Mathematical Tables" (1971), Dover Publications
  2. Aghalary, R., "Subordinations for analytic functions de ned by Dziok-Srivastava linear operator", Appl. Math. Comput, 37, pp.533~542 (2006)
  3. Bernardi, S. D., "Convex and starlike univalent functions", Trans. Amer. Math. Soc, 135, pp.429~446 (1969)
  4. Yang Dinggon, "On a class of analytic functions involving Ruscheweyh derivatives", 대한수학회보, 39(1), pp.123~131 (2002), 대한수학회
  5. Dziok, J, "Families of analytic functions associated with the Wright generalized hypergeometric functions", Demonstratio Math, 37, pp.533~542 (2004)
  6. Dziok, J, "Some classes of analytic functions as- sociated with operator on Hilbert space involving Wright's generalized hypergeometric functions", Proc. Janggeon Math. Soc, 7, pp.43~55 (2004)
  7. Dziok, J., "Classes of analytic functions associated with the gen-eralized hypergeometric functions", Appl. Math. Comput, 103, pp.1~13 (1999)
  8. Liu, J. L., "On subordination for certain multivalent analytic functions associated with the generalized hypergeometric function", J. Inequal. Pure Appl. Math, 7(4), pp.1~6 (2006)
  9. Livingston, A. E., "On the radius of the univalence of certain analytic functions", Proc. Amer. Math. Soc, 17, pp.352~357 (1966)
  10. Miller S. S, "Di erential Subordinates: Theory and Applications, Series in Pure and Applied Mathematics" (2000), Marcel Dekker
  11. Miller, S. S, "Di erential subordinations and univalent functions", Michigan Math. J, 28, pp.157~171 (1981)
  12. Obradovic, M., "On certain inequalities for some regular functions in jzj", Int. J. Math. Sci, 8, pp.671~678 (1985)
  13. Ozkan, O., "Some subordination results on multivalent functions de ned by integral op- erator", J. Inequal. Appl, 2007, pp.1~8 (2007)
  14. R. K. Raina, "Some results associated with fractional calculus operators involving Appell hypergeometric function", J. Inequal. Pure Appl. Math, 10, pp.1~7 (2009)
  15. Sham, S, "Subordination properties of p-valent functions de ned by integral operators", Internat. J. Math. Math. Sci, 2006, pp.1~3 (2006)
  16. Srivastava, H. M., "Some applications of di erential subordination to a general class of multivalent functions", Adv. Stud. Contemp. Math, 3(1), pp.1~15 (2001)
  17. Srivastava, H. M., "A certain class of p-valently analytic functions", Math. Comput. Modelling, 41, pp.321~324 (2005)
  18. Srivastava, H. M., "Inclusion and neighborhood properties of certain subclasses of analytic and multivalent functions of complex order", J. Inequal. Pure Appl. Math, 7(5), pp.1~8 (2006)

관련 논문AI추천

이 간행물의 다른 논문 (10건)