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Subclasses of Analytic Functions Defined with Generalized Sãlãgean Operator

Gurmeet Singh|Gagandeep Singh|Gurcharanjit Singh
장전수학회 (Jangjeon Mathematical Society)|2022.04|Advanced Studies in Contemporary Mathematics|제32권 제2호|pp. 221-234

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참고문헌

키워드

Analytic functionsUnivalent functionsSubordinationConvex functionsClose-toconvex functionsClose-to-star functionsGeneralized Sãlãgean operator
주제분류수학

초록

The present investigation deals with certain subclasses of analytic-univalent functions in the open unit disc E={z:|z|<1}. The coefficient estimates, distortion theorem, argument theorem and relation of these classes with some other classes have been studied and the results so obtained generalize the results of several earlier works.

Abstract

The present investigation deals with certain subclasses of analytic-univalent functions in the open unit disc E={z:|z|<1}. The coefficient estimates, distortion theorem, argument theorem and relation of these classes with some other classes have been studied and the results so obtained generalize the results of several earlier works.

참고문헌 (18)

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  6. Kaplan, W., "Close-to-convex Schilcht functions", Mich. Math. J. 1, 16, pp.9~185 (1952)
  7. Mehrok, B. S., "A subclass of close-to-convex functions", Bull. Inst. Math. Academia-Sinica, 10(4), pp.389~398 (1982)
  8. Mehrok, B. S., "A subclass of close-to-convex functions", International Journal of Mathematical Analysis, 4(27), pp.1319~1327 (2010)
  9. Mehrok, B. S., "A subclass of close-to-star functions", International Journal of Modern Mathematical Sciences, 4(3), pp.139~145 (2012)
  10. Mehrok, B. S., "A subclass of analytic functions", Global J. Math. Sci.(Th. and Prac.), 2(1), pp.91~97 (2010)
  11. Mehrok, B. S., "On a subclass of analytic functions", Antarctica J. Math, 7(4), pp.447~453 (2010)
  12. Mishra, R. S., "Geometrical and analytical properties of certain classes related to univalent functions", Ph.D., pp.2007
  13. Porwal, Saurabh, "Some properties of a new subclass of analytic univalent functions", LE MATEMATICHE, 71, pp.51~61 (2016)
  14. Reade, M. O., "On close-to-convex univalent functions", Mich. Math. J, 3, pp.59~62 (1955)
  15. Rogosinski, W., "On the coefficients of subordinate functions", Proc. Lond. Math. Soc, 48(2), pp.48~82 (1943)
  16. Sãlãgean, G. S., "Subclasses of univalent functions", Complex Analysis-Fifth Romanian Finish Seminar, 1, pp.362~372 (1983)
  17. Singh, Gagandeep, "A new subclass of univalent functions defined with Sãlãgean operator", Int. J. of Math. and Computation, 29(4), pp.83~89 (2018)
  18. Singh, Harjinder, "Subclasses of close-to-convex functions", Tamkang J. Math, 44(4), pp.377~386 (2013)

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