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Neighborhoods of p-valent functions

Hesam Mahzoon|S. Latha
장전수학회 (Jangjeon Mathematical Society)|2013.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제16권 제1호|pp. 133-140|DOI 10.17777/pjms.2013.16.1.013

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참고문헌

키워드

Analytic functionsCoefficient bounds (nδ) - neighborhood and p - valent functions
주제분류수학

초록

In this paper, we the new subclasses of p - valent functions of complexorder denoted by Hpn,m(q, λ, b), Lpn,m(q, λ, b; μ), Hp,n,m(q, λ, b) and Lp,n,a,m(q, λ, b; μ)are introduced. Further for functions belonging to these classes, certain propertiesof neighborhoods are studied.

Abstract

In this paper, we the new subclasses of p - valent functions of complexorder denoted by Hpn,m(q, λ, b), Lpn,m(q, λ, b; μ), Hp,n,m(q, λ, b) and Lp,n,a,m(q, λ, b; μ)are introduced. Further for functions belonging to these classes, certain propertiesof neighborhoods are studied.

참고문헌 (10)

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  2. O. ALTINTAS, "Neighborhoods of a class of analytic functions with negative coefficients", Appl. Math. Lett, 13(3), pp.63~67 (2000)
  3. A. W. GOODMAN, "Univalent functions and non- analytic curves", Proc. Amer. Math. Soc, 8, pp.598~601 (1957)
  4. G. MURUGUSUNDARAMOORTHY, "Neighbohoods of certain classes of analytic functions of complex order", Journal of Inequalities in Pure and Applied Mathematics, 5 (2004)
  5. M. A. NASR, "Starlike function of complex order", J. Natur. Sci. Math., 25, pp.1~12 (1985)
  6. R. K. RAINA, "Inclusion and neighborhood properties of some analytic and multivalent funcitons", J. Inequal. Pure and Appl. Math, 7 (2006)
  7. S. RUSCHEWEYH, "Neighbohoods of univalent functions", Proc. Amer. Math. Soc, 81, pp.521~527 (1981)
  8. H. SAITOH, "A linear opertor and its applications of first order differential subordinations", Math. Japan, 44, pp.31~38 (1996)
  9. H. M. SRIVASTAVA, "Current topics in analytic function theory" (1992), World Scientific Publishing Company
  10. P. WIATROWSKI, "On the coefficients of some family of holomorphic functions", Zeszyty Nauk. Uniw. Lodz Nauk. Mat. - Przyrod., 39, pp.75~85 (1970)

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