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NEIGHBORHOODS OF p -VALENT FUNCTIONS

HESAM MAHZOON|S. LATHA
장전수학회 (Jangjeon Mathematical Society)|2010.01|Advanced Studies in Contemporary Mathematics|제20권 제1호|pp. 95-102

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참고문헌

키워드

Analytic functionsCoefficient bounds (n∂) - neighborhood and p -valent functions.
주제분류수학

초록

In this paper, we the new subclasses of p - valent functions of complex order denoted byHp n,m(q, ⋋, b),Lpn,m(q, ⋋,b; μ),Hp,a,n,m(q, ⋋, b) and Lp,a,n,m(q, ⋋, b; μ)are introduced. Further for functions belonging to these classes, certain properties of neighborhoods are studied

Abstract

In this paper, we the new subclasses of p - valent functions of complex order denoted byHp n,m(q, ⋋, b),Lpn,m(q, ⋋,b; μ),Hp,a,n,m(q, ⋋, b) and Lp,a,n,m(q, ⋋, b; μ)are introduced. Further for functions belonging to these classes, certain properties of neighborhoods are studied

참고문헌 (10)

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  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(1) (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(2), pp.75~85 (1970)

관련 논문AI추천

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