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NEIGHBOURHOODS OF A CERTAIN SUBCLASS OF STRONGLY STARLIKE FUNCTIONS

Year 2020, Volume: 10 Issue: 2, 452 - 458, 01.03.2020

Abstract

In this paper we introduce and study a new subclass of strongly starlike functions of order α defined by convolution structure. We investigate neighbourhoods and coefficient bounds of this class.

References

  • Brannan, D. A. and Kirwan, W. E. , (1969), On some classes of bounded univalent functions, J. London Math. Soc., 1, (2), pp. 431 - 443.
  • Ruscheweyh, S., (1981), Neighbourhoods of Univalent functions, Proc. Amer. Maths. Soc., 81, pp. 521-527.
  • Ruscheweyh, S. and Sheil, T., - Small, (1973), Hadamard product of Schilicht functions and the polya - Schoenberg Canjecture, Comment. Math. Helvi, 48, pp. 119-135.
  • Stankiewicz, J., (1966), Quelques Problems extremanx dans des classes de functions angulairment etoilees, Ann. Univ. M. Curie - Sklodowska, Section-A, 20, pp. 59-75.
  • Stankiewicz, J., (1970), Some remarks concerning starlike functions”, Bull. Acad. Polon. Sci. Ser. Scie. Math., 18, pp. 143-146.

Year 2020, Volume: 10 Issue: 2, 452 - 458, 01.03.2020

Abstract

References

  • Brannan, D. A. and Kirwan, W. E. , (1969), On some classes of bounded univalent functions, J. London Math. Soc., 1, (2), pp. 431 - 443.
  • Ruscheweyh, S., (1981), Neighbourhoods of Univalent functions, Proc. Amer. Maths. Soc., 81, pp. 521-527.
  • Ruscheweyh, S. and Sheil, T., - Small, (1973), Hadamard product of Schilicht functions and the polya - Schoenberg Canjecture, Comment. Math. Helvi, 48, pp. 119-135.
  • Stankiewicz, J., (1966), Quelques Problems extremanx dans des classes de functions angulairment etoilees, Ann. Univ. M. Curie - Sklodowska, Section-A, 20, pp. 59-75.
  • Stankiewicz, J., (1970), Some remarks concerning starlike functions”, Bull. Acad. Polon. Sci. Ser. Scie. Math., 18, pp. 143-146.
There are 5 citations in total.

Details

Primary Language English
Authors

P. T. Reddy This is me

B. Venkateswarlu This is me

Publication Date March 1, 2020
Published in Issue Year 2020 Volume: 10 Issue: 2

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