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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.
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Details

Primary Language English
Journal Section Research Article
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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